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Анализ случайных процессов в линейных системах радиоэлектронных следящих систем

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БЕЛОРУССКИЙ ГОСУДАРСТВЕННЫЙ УНИВЕРСИТЕТ ИНФОРМАТИКИ И РАДИОЭЛЕКТРОНИКИ

Кафедра РТС

РЕФЕРАТ

На тему:

“Анализ случайных процессов в линейных системах радиоэлектронных
следящих систем”

МИНСК, 2008

Определение статистических характеристик случайных процессов в линейных
системах

Задающее воздействие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и внутренние возмущения (флуктуации частоты, фазы,
задержки) являются случайными процессами с нормальным законом
распределения, который не изменяется при прохождении процессов через
линейные цепи. Флюктуационная составляющая напряжения на выходе
дискриминатора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(t)
также процесс случайный, и хотя не всегда имеет нормальный закон
распределения, но при прохождении через последующие узкополосные
линейные цепи нормализуется.

Случайный процесс с нормальным законом распределения определяется
математическим ожиданием и корреляционной функцией. Методы определения
математического ожидания рассмотрены в предыдущем разделе. Рассмотрим
методы определения корреляционной функции и связанной с ней дисперсией
случайных процессов.

Спектральная плотность процесса на выходе и входе линейной системы
связаны зависимостью
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,

где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 – частотная
передаточная функция системы;
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 – спектральная
плотность процесса на входе.

Преобразовав по Фурье правую и левую часть можно определить
корреляционную функцию:
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.

Дисперсия случайного процесса на выходе линейной системы:
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 (1)

или:
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, (2)

где Sv(w) –двусторонняя спектральная плотность процесса на выходе
системы.

При использовании односторонней спектральной плотности N(f) выражение
(2) может быть записано в виде:
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,

где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;
picscalex1000100090000032901000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02000240051200000026060f001a00ffffffff000010000000c0ffffff
c6ffffff00050000c60100000b00000026060f000c004d61746854797065000050001c00
0000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d61
6e001643c7771f43c77720c0c97700003000040000002d01000008000000320a60013604
0100000066791c000000fb0280fe0000000000009001010000020402001053796d626f6c
00774000000010080a5f1643c7771f43c77720c0c97700003000040000002d0101000400
0000f001000008000000320a60016a0301000000707908000000320a6001220001000000
77791c000000fb0280fe0000000000009001000000000402001054696d6573204e657720
526f6d616e001643c7771f43c77720c0c97700003000040000002d01000004000000f001
010008000000320a6001bc020100000032791c000000fb0280fe00000000000090010000
00020002001053796d626f6c00774000000010080a601643c7771f43c77720c0c9770000
3000040000002d01010004000000f001000008000000320a60019301010000003d790a00
000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc020000
00cc0102022253797374656d000000000a0021008a010000000000000000fcf312002942
c777040000002d01000004000000f0010100030000000000.

Расчет дисперсии случайного процесса с помощью стандартных интегралов

Для упрощения вычисления интеграла (6.1) его приводят к стандартному
виду:
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,

где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? полином четной степени
частотыpicscalex1000100090000039d00000002001c000000000005000000090200000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;
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 – полином, корни которого принадлежат
верхней полуплоскости комплексной
переменнойpicscalex1000100090000039d00000002001c000000000005000000090200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; n – степень
полиномаpicscalex1000100090000033101000002001c00000000000500000009020000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.

Вычисление производят по формулам:

picscalex1000100090000036701000003001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02000560081200000026060f001a00ffffffff000010000000c0ffffff
a3ffffff20080000a30400000b00000026060f000c004d61746854797065000010010800
0000fa0200001000000000000000040000002d01000005000000140270029f0305000000
1302700218081c000000fb0280fe0000000000009001000000000402001054696d657320
4e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d0101000800
0000320aae04300701000000317908000000320aae048a0501000000307908000000320a
2402c90501000000307908000000320a5003df000100000031791c000000fb0240fe0000
000000009001000000000402001054696d6573204e657720526f6d616e005bd4f47764d4
f4770100000000003000040000002d01020004000000f001010008000000320a3e04b803
0100000032791c000000fb0240fe0000000000009001010000000402001054696d657320
4e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d0101000400
0000f001020008000000320a3e04680601000000617908000000320a3e049e0401000000
617908000000320ab401f30401000000627908000000320ae00247000100000049791c00
0000fb0240fe0000000000009001000000020402001053796d626f6c0077400000007305
0a925bd4f47764d4f4770100000000003000040000002d01020004000000f00101000800
0000320ae0022c02010000003d790a00000026060f000a00ffffffff0100000000001c00
0000fb021000070000000000bc02000000cc0102022253797374656d000000000a000000
040000000000010000000100000000003000040000002d01010004000000f00102000300
00000000;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;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.

При n>3 формулы для расчетов можно найти в справочнике.

Условие применения стандартных интегралов: полином под интегралом должен
быть дробно-рациональной функцией
переменнойpicscalex1000100090000039d00000002001c000000000005000000090200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 и система должна быть устойчивой.

Рассмотрим пример расчета дисперсии ошибки слежения в системе,
представленной структурной схемой (рис.1).
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222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222200222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222022222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222220022222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222202222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222002222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222220222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222200
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222022222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222220022222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222202222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222002222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222220222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222200040000002701ffff03000000
0000

Рис.1. К примеру расчета дисперсии ошибки слежения.

Исходные данные:
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? флюктуационная составляющая, определяемая спектральной
плотностью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.

Рассчитаем дисперсию ошибки слежения по формуле дисперсию по формуле:
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.

Передаточная функция от воздействия к ошибке
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;
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;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.

Выполним расчет:
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;
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;
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;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;

picscalex1000100090000031501000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02400320071200000026060f001a00ffffffff000010000000c0ffffff
afffffffe0060000ef0200000b00000026060f000c004d61746854797065000080001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000008000000320a77011e06
01000000327908000000320af402960501000000317908000000320ab002030101000000
30791c000000fb0240fe0000000000009001010000000402001054696d6573204e657720
526f6d616e005bd4f47764d4f4770100000000003000040000002d01010004000000f001
000008000000320a4002cb0401000000547908000000320a40022b000100000062791c00
0000fb0240fe0000000000009001000000020402001053796d626f6c007740000000db05
0a6b5bd4f47764d4f4770100000000003000040000002d01000004000000f00101000800
0000320a4002e503010000002d7908000000320a40027502010000003d790a0000002606
0f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc0102
022253797374656d000000000a0000000400000000000100000001000000000030000400
00002d01010004000000f0010000030000000000;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;
picscalex1000100090000030501000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02c002a0051200000026060f001a00ffffffff000010000000c0ffffff
b7ffffff60050000770200000b00000026060f000c004d61746854797065000090001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000008000000320a1002ab04
01000000327908000000320a10021d010100000030791c000000fb0240fe000000000000
9001010000000402001054696d6573204e657720526f6d616e005bd4f47764d4f4770100
000000003000040000002d01010004000000f001000008000000320aa001c00301000000
547908000000320aa00139000100000061791c000000fb0240fe00000000000090010000
00020402001053796d626f6c0077400000004b060af35bd4f47764d4f477010000000000
3000040000002d01000004000000f001010008000000320aa001b402010000003d790a00
000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc020000
00cc0102022253797374656d000000000a00000004000000000001000000010000000000
3000040000002d01010004000000f0010000030000000000;
picscalex1000100090000036d01000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02600260091200000026060f001a00ffffffff000010000000c0ffffff
b7ffffff20090000170200000b00000026060f000c004d61746854797065000060001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000008000000320a10028b08
01000000317908000000320a100203010100000031791c000000fb0240fe000000000000
9001000000000402001054696d6573204e657720526f6d616e005bd4f47764d4f4770100
000000003000040000002d01010004000000f001000008000000320aa001960301000000
31791c000000fb0240fe0000000000009001010000000402001054696d6573204e657720
526f6d616e005bd4f47764d4f4770100000000003000040000002d01000004000000f001
010008000000320aa001c10701000000547908000000320aa001c205010000004b790800
0000320aa00139000100000061791c000000fb0280fe0000000000009001010000000402
001054696d6573204e657720526f6d616e005bd4f47764d4f47701000000000030000400
00002d01010004000000f001000008000000320a100239070100000076791c000000fb02
40fe0000000000009001000000020402001053796d626f6c00774000000057060abb5bd4
f47764d4f4770100000000003000040000002d01000004000000f001010008000000320a
a001ab04010000002b7908000000320aa0015702010000003d790a00000026060f000a00
ffffffff0100000000001c000000fb021000070000000000bc02000000cc010202225379
7374656d000000000a000000040000000000010000000100000000003000040000002d01
010004000000f0010000030000000000;
picscalex1000100090000032901000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02600260061200000026060f001a00ffffffff000010000000c0ffffff
b7ffffff20060000170200000b00000026060f000c004d61746854797065000060001c00
0000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000008000000320a10026d05
0100000076791c000000fb0240fe0000000000009001010000000402001054696d657320
4e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d0101000400
0000f001000008000000320aa0011c04010000004b7908000000320aa001390001000000
61791c000000fb0240fe0000000000009001000000020402001053796d626f6c00774000
00004b060ac25bd4f47764d4f4770100000000003000040000002d01000004000000f001
010008000000320aa0019e02010000003d791c000000fb0280fe00000000000090010000
00000402001054696d6573204e657720526f6d616e005bd4f47764d4f477010000000000
3000040000002d01010004000000f001000008000000320a10022d010100000032790a00
000026060f000a00ffffffff0100000000001c000000fb021000070000000000bc020000
00cc0102022253797374656d000000000a00000004000000000000000000010000000000
3000040000002d01000004000000f0010100030000000000;
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. (3)

Приведем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ко входу дискриминатора
и упростим выражение (3)

picscalex100010009000003d702000003001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c024006a0161200000026060f001a00ffffffff000010000000c0ffffff
b1ffffff60160000f10500000b00000026060f000c004d61746854797065000060010800
0000fa0200001000000000000000040000002d0100000500000014021003370405000000
1302100373080500000014021003510a0500000013021003b10c0500000014021003d20d
050000001302100397151c000000fb0240fe000000000000900100000002040200105379
6d626f6c007740000000f6050a0f5bd4f47764d4f4770100000000003000040000002d01
010008000000320a4c05b31501000000fa7908000000320a9c03b31501000000fa790800
0000320aae05b31501000000fb7908000000320aec01b31501000000f97908000000320a
4c05940901000000ea7908000000320a9c03940901000000ea7908000000320aae059409
01000000eb7908000000320aec01940901000000e97908000000320adc04570f01000000
2b7908000000320a5e02d30e010000002b7908000000320a80030d0d01000000d7790800
0000320a8003cf0801000000d77908000000320a8003d802010000003d791c000000fb02
40fe0000000000009001010000000402001054696d6573204e657720526f6d616e005bd4
f47764d4f4770100000000003000040000002d01020004000000f001010008000000320a
dc046e14010000006c7908000000320adc04ba1201000000547908000000320adc04c410
010000004b7908000000320a5e02ea13010000006c7908000000320a5e02361201000000
547908000000320a5e024010010000004b7908000000320a5e02780a010000004b790800
0000320a3b05520501000000537908000000320a100257040100000053791c000000fb02
80fe0000000000009001010000000402001054696d6573204e657720526f6d616e005bd4
f47764d4f4770100000000003000040000002d01010004000000f001020008000000320a
4c050b1201000000767908000000320ace02871101000000767908000000320ace02bf0b
01000000767908000000320aab055c0601000000677908000000320af0037a0101000000
78791c000000fb0280fe0000000000009001000000000402001054696d6573204e657720
526f6d616e005bd4f47764d4f4770100000000003000040000002d01020004000000f001
010008000000320a4c05a51301000000327908000000320a950199140100000032790800
0000320ace02211301000000327908000000320a7204710601000000327908000000320a
b70289010100000032791c000000fb0240fe000000000000900100000000040200105469
6d6573204e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d01
010004000000f001020008000000320adc043e0e01000000317908000000320a5e02ba0d
01000000317908000000320adc04180b01000000327908000000320a1002ce0701000000
297908000000320a1002ee0601000000307908000000320a100254060100000028791c00
0000fb0280fe0000000000009001010000020402001053796d626f6c0077400000006a06
0a335bd4f47764d4f4770100000000003000040000002d01020004000000f00101000800
0000320a800231050100000078791c000000fb0240fe0000000000009001010000020402
001053796d626f6c007740000000f6050a125bd4f47764d4f47701000000000030000400
00002d01010004000000f001020008000000320a800316000100000073790a0000002606
0f000a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc0102
022253797374656d000000000a0000000400000000000200000001000000000030000400
00002d01020004000000f0010100030000000000, (4)

где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;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 – спектр приведенного ко входу дискриминатора
случайного процесса.

Таким образом, дисперсия ошибки слежения пропорциональна коэффициенту
усиления разомкнутого контура следящей системы и спектральной плотности
флюктуационной составляющей.

Если вместо пропорционально-интегрирующего фильтра использовать
интегратор, то: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, и
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;

Если на вход инерционного звена с передаточной функцией
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подать шум со спектральной плотностью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, то дисперсия на выходе будет равна
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;

Таким образом шум вызывает одинаковый эффект на выходе инерционной цепи
и в следящих системах, содержащих одно интегрирующее звено с
добротностью, обратной постоянной времени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.

Если следящая система содержит в качестве фильтра последовательное
соединение инерционного звена и интегратора, то в этом случае

picscalex1000100090000032101000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c026002c0041200000026060f001a00ffffffff000010000000c0ffffff
b7ffffff80040000170200000b00000026060f000c004d61746854797065000060001c00
0000fb0240fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000008000000320aa0019803
0100000030791c000000fb0280fe0000000000009001000000000402001054696d657320
4e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d0101000400
0000f001000008000000320a1002e6000100000031791c000000fb0240fe000000000000
9001000000020402001053796d626f6c00774000000048050ad35bd4f47764d4f4770100
000000003000040000002d01000004000000f001010008000000320aa001330201000000
3d791c000000fb0240fe0000000000009001010000000402001054696d6573204e657720
526f6d616e005bd4f47764d4f4770100000000003000040000002d01010004000000f001
000008000000320aa0011d000100000054790a00000026060f000a00ffffffff01000000
00001c000000fb021000070000000000bc02000000cc0102022253797374656d00000000
0a000000040000000000000000000100000000003000040000002d01000004000000f001
0100030000000000;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;
picscalex100010009000003f500000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02e001c0031200000026060f001a00ffffffff000010000000c0ffffff
d7ffffff80030000b70100000b00000026060f000c004d61746854797065000030001c00
0000fb0240fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000008000000320a80019a02
0100000030791c000000fb0240fe0000000000009001000000020402001053796d626f6c
0077400000003a060a305bd4f47764d4f4770100000000003000040000002d0101000400
0000f001000008000000320a80013501010000003d791c000000fb0240fe000000000000
9001010000000402001054696d6573204e657720526f6d616e005bd4f47764d4f4770100
000000003000040000002d01000004000000f001010008000000320a80012b0001000000
6c790a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000
bc02000000cc0102022253797374656d000000000a000000040000000000010000000100
000000003000040000002d01010004000000f0010000030000000000;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.

Следовательно, постоянная времени инерционного звена не влияет на
величину флюктуационной ошибки (дисперсию). Это объясняется тем, что при
увеличении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 инерционного звена сужается полоса системы, но
одновременно увеличивается максимум АЧХ, а площади под кривыми не
изменяются (рис.2).
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3000040000002d01020004000000f001010008000000320a2a05bd10010000006c790800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;
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;
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;

picscalex1000100090000039f01000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c020003a0121200000026060f001a00ffffffff000010000000c0ffffff
afffffff60120000af0200000b00000026060f000c004d61746854797065000060001c00
0000fb0240fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000008000000320a40029111
01000000307908000000320a40021f0f01000000317908000000320a4002520901000000
32791c000000fb0280fe0000000000009001000000000402001054696d6573204e657720
526f6d616e005bd4f47764d4f4770100000000003000040000002d01010004000000f001
000008000000320a7701e40401000000327908000000320ab00250030100000032791c00
0000fb0240fe0000000000009001000000020402001053796d626f6c0077400000004f05
0a4f5bd4f47764d4f4770100000000003000040000002d01000004000000f00101000800
0000320a40023c10010000003d7908000000320a4002f40d010000002d7908000000320a
4002f007010000002b791c000000fb0280fe000000000000900101000000040200105469
6d6573204e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d01
010004000000f001000009000000320ab002ba0a030000006f6e6d6509000000320ab002
b604030000006f6e6d6508000000320ab0029b0101000000766e1c000000fb0240fe0000
000000009001010000000402001054696d6573204e657720526f6d616e005bd4f47764d4
f4770100000000003000040000002d01000004000000f001010008000000320a40022b0a
010000006c6e08000000320a40022704010000006c6e08000000320a4002580201000000
546e08000000320a40024700010000004b6e0a00000026060f000a00ffffffff01000000
00001c000000fb021000070000000000bc02000000cc0102022253797374656d00000000
0a000000040000000000010000000100000000003000040000002d01010004000000f001
0000030000000000;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;

при
picscalex100010009000003ec01000004001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02200560131200000026060f001a00ffffffff000010000000c0ffffff
b2ffffff20130000d20400000b00000026060f000c004d61746854797065000030010800
0000fa0200001000000000000000040000002d0100000500000014021f04ab0d05000000
1302fe03e60d08000000fa0200002000000000000000040000002d010100050000001402
0604e60d050000001302c8043b0e040000002d010000050000001402c804430e05000000
1302a302af0e050000001402a302af0e050000001302a302e5120500000014025002830d
050000001302500205131c000000fb0280fe000000000000900100000000040200105469
6d6573204e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d01
020008000000320ab204dc1101000000327908000000320a30034a030100000032791c00
0000fb0240fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01030004000000f00102000800
0000320aa501d40f01000000317908000000320ac002b507010000003a7908000000320a
c002bf060100000031791c000000fb0240fe000000000000900101000000040200105469
6d6573204e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d01
020004000000f001030008000000320a4204e61001000000547908000000320a4204d90e
010000004b7908000000320ac0026408010000006c7908000000320ac002540201000000
547908000000320ac0024700010000004b791c000000fb0280fe00000000000090010100
00000402001054696d6573204e657720526f6d616e005bd4f47764d4f477010000000000
3000040000002d01030004000000f001020008000000320ab2042b100100000076790900
0000320a3003f108030000006f6e6d6508000000320a3003990101000000766e1c000000
fb0240fe0000000000009001000000020402001053796d626f6c00774000000047050a17
5bd4f47764d4f4770100000000003000040000002d01020004000000f001030008000000
320ac002250c01000000bb6e08000000320ac002a404020000003e3e0a00000026060f00
0a00ffffffff0100000000001c000000fb021000070000000000bc02000000cc01020222
53797374656d000000000a00000004000000000003000000010000000000300004000000
2d01030004000000f0010200030000000000;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;

Подставив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 в (4), получим
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,

где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 – собственная частота следящей
системы.

Если задающее воздействие представлено спектральной плотностью
неточность его воспроизведения также оценивается дисперсией. Рассмотрим
пример (рис.3).

picscalex100010009000003862b00000000612b00000000040000000301080005000000
0b0200000000050000000c0274007d01030000001e000400000007010400612b0000410b
2000cc0073007c010000000073007c0100000000280000007c0100007300000001000400
00000000000000000000000000000000000000000000000000000000ffffff00fefefe00
222222000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000002222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222202022222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222222222222222222222222222222222222222222222222222222222222222222222222
222202022222222222222222222222222222222222222222222222222222222222222222
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030000000000

Рис.3

Пусть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;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,

где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? дисперсия задающего воздействия;
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 –
параметр, определяющий ширину спектра.

Определим величину дисперсии ошибки слежения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, обусловленную
неточностью воспроизведения задающего воздействия.
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;
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,

гдеpicscalex1000100090000035d01000002001c0000000000050000000902000000000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;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 – коэффициент передачи интегратора;
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 – крутизна дискриминационной характеристики.
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;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;

приведем выражение к стандартному виду:
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;
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 (jw)
=(picscalex1000100090000039d00000002001c00000000000500000009020000000005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 +jw)
(Kv+jw) =(jw) 2
+(picscalex1000100090000039d00000002001c00000000000500000009020000000005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)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 Kv;
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;
picscalex1000100090000032101000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c026002a0041200000026060f001a00ffffffff000010000000c0ffffff
b7ffffff60040000170200000b00000026060f000c004d61746854797065000060001c00
0000fb0240fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000008000000320aa0018f03
0100000030791c000000fb0280fe0000000000009001000000000402001054696d657320
4e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d0101000400
0000f001000008000000320a1002dd000100000031791c000000fb0240fe000000000000
9001000000020402001053796d626f6c00774000000001050a9a5bd4f47764d4f4770100
000000003000040000002d01000004000000f001010008000000320aa0012a0201000000
3d791c000000fb0240fe0000000000009001010000000402001054696d6573204e657720
526f6d616e005bd4f47764d4f4770100000000003000040000002d01010004000000f001
000008000000320aa0012b000100000062790a00000026060f000a00ffffffff01000000
00001c000000fb021000070000000000bc02000000cc0102022253797374656d00000000
0a000000040000000000000000000100000000003000040000002d01000004000000f001
0100030000000000;
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;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202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202020202020
202020202020202020202020202020202020202020202020202020202020202040000002
701ffff030000000000

Рис.4. АЧХ исходной и эквивалентной систем.

Чтобы определить полосу пропускания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 используем
условие равенства дисперсий:
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Отсюда
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.

Использование значения эквивалентной шумовой полосы позволяет упростить
вычисление дисперсии:

picscalex1000100090000031502000003001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02400360101200000026060f001a00ffffffff000010000000c0ffffff
b1ffffff20100000f10200000b00000026060f000c004d61746854797065000070000800
0000fa0200001000000000000000040000002d010000050000001402e9006b0705000000
1302f7026b07050000001402e900500b050000001302f702500b1c000000fb0280fe0000
000000009001010000cc0402001054696d6573204e657720526f6d616e005bd4f47764d4
f4770100000000003000040000002d01010008000000320ad0027b0f01000000fd791c00
0000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01020004000000f00101000800
0000320ad0027a010100000078791c000000fb0240fe0000000000009001010000000402
001054696d6573204e657720526f6d616e005bd4f47764d4f47701000000000030000400
00002d01010004000000f001020008000000320a60027c0e01000000467908000000320a
6002a50701000000487908000000320a600237040100000053791c000000fb0240fe0000
000000009001000000020402001053796d626f6c007740000000a5040a3b5bd4f47764d4
f4770100000000003000040000002d01020004000000f001010008000000320a60026b0d
01000000447908000000320a6002d802010000003d791c000000fb0240fe000000000000
9001000000000402001054696d6573204e657720526f6d616e005bd4f47764d4f4770100
000000003000040000002d01010004000000f001020008000000320a6002840c01000000
327908000000320a6002a00a01000000297908000000320a6002c0090100000030790800
0000320a6002260901000000287908000000320a6002bb0601000000297908000000320a
6002db0501000000307908000000320a600241050100000028791c000000fb0280fe0000
000000009001000000000402001054696d6573204e657720526f6d616e005bd4f47764d4
f4770100000000003000040000002d01020004000000f001010008000000320a75018a0b
01000000327908000000320a970189010100000032791c000000fb0240fe000000000000
9001010000020402001053796d626f6c00774000000089050a685bd4f47764d4f4770100
000000003000040000002d01010004000000f001020008000000320a6002160001000000
73790a00000026060f000a00ffffffff0100000000001c000000fb021000070000000000
bc02000000cc0102022253797374656d000000000a000000040000000000020000000100
000000003000040000002d01020004000000f0010100030000000000;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.

Если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, то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, или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,

где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 ?
односторонняя спектральная плотность.

Формулы для расчета эквивалентной шумовой полосы систем приведены в
табл.1

Таблица 1. Формулы для расчета эквивалентной шумовой полосы.
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picscalex100010009000003f500000002001c0000000000050000000902000000000500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9001000000000402001054696d6573204e657720526f6d616e001643c7771f43c77720c0
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327908000000320aea033d020100000031791c000000fb0280fe00000000000090010100
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ff00050000002e0118000000050000000b0200000000050000000c028004e00412000000
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Оптимизация параметров следящих систем

Для решения задачи оптимизации необходимо определить структуру системы,
предъявляемые требования и ограничения, накладываемые на систему,
описать воздействия и возмущения, выбрать критерий оптимизации и метод.

Оптимизируем параметры kи2 и T1 в системе (рис.5), в которой задающее
воздействие л(t) – детерминированная функция, а возмущение ? случайный
процесс о(t).

В качестве критерия оптимизации используем критерий минимума среднего
квадрата ошибки:

picscalex100010009000003c001000003001c0000000000050000000902000000000500
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b7ffffffa00e0000f70200000b00000026060f000c004d61746854797065000060000800
0000fa0200001000000000000000040000002d0100000500000014025100400005000000
1302510013021c000000fb0240fe0000000000009001000000000402001054696d657320
4e657720526f6d616e005bd4f47764d4f4770100000000003000040000002d0101000900
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0402001054696d6573204e657720526f6d616e005bd4f47764d4f4770100000000003000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; (5)

где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 – квадрат
математического ожидания ошибки слежения.

picscalex1000100090000031e7a00000000f97900000000040000000301080005000000
0b0200000000050000000c028300d801030000001e000400000007010400f9790000410b
2000cc008200d701000000008200d7010000000028000000d70100008200000001000800
00000000000000000000000000000000000000000000000000000000ffffff00fefefe00
2222220004040400e3e3e3001c1c1c0016161600f1f1f1003333330042424200eaeaea00
55555500666666004d4d4d00d7d7d70029292900f0fbfe005f5f5f007777770086868600
330000000000000000000000000000000000000000000000000000000000000000000000
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000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
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000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000000000000000000000
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020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
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020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
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020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
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020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
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020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
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020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
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020202020202020202020202020202020202020202020202020202020202020202020202
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020202020202020202020202020202020202020202020202020202020202020202020202
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020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
020202020202020202020202020202020202020202020202020202020202020202020202
0202020202020202020202020202020202020202040000002701ffff030000000000

Рис.5. Структурная схема оптимизируемой системы.

Исходные данные:
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;
picscalex1000100090000038f01000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c026002a00d1200000026060f001a00ffffffff000010000000c0ffffff
a6ffffff600d0000060200000b00000026060f000c004d61746854797065000070001c00
0000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d61
6e001643c7771f43c77720c0c97700003000040000002d0100000a000000320a8001200a
05000000636f6e73740008000000320a80015d0501000000536f08000000320a80014000
01000000536f1c000000fb0280fe0000000000009001000000020002001053796d626f6c
007740000000a1070a8e1643c7771f43c77720c0c97700003000040000002d0101000400
0000f001000008000000320a8001fd08010000003d6f08000000320a80012e0401000000
3d6f1c000000fb0280fe0000000000009001000000000402001054696d6573204e657720
526f6d616e001643c7771f43c77720c0c97700003000040000002d01000004000000f001
010008000000320a8001280801000000296f08000000320a8001680701000000306f0800
0000320a8001e40601000000286f08000000320a8001590301000000296f08000000320a
8001c70101000000286f1c000000fb0220ff000000000000900101000002040200105379
6d626f6c007740000000a1070a8f1643c7771f43c77720c0c97700003000040000002d01
010004000000f001000008000000320ae001270601000000786f08000000320ae0010a01
01000000786f1c000000fb0280fe0000000000009001010000020402001053796d626f6c
007740000000c9070a4f1643c7771f43c77720c0c97700003000040000002d0100000400
0000f001010008000000320a8001390201000000776f0a00000026060f000a00ffffffff
0100000000001c000000fb021000070000000000bc02000000cc0102022253797374656d
000000000a0021008a010000000001000000fcf312002942c777040000002d0101000400
0000f0010000030000000000.

Необходимо определить
picscalex100010009000003fe00000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02400300061200000026060f001a00ffffffff000010000000c0ffffff
b7ffffffc0050000f70200000b00000026060f000c004d617468547970650000d0001c00
0000fb0280fe0000000000009001010000cc0402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000009000000320a10026802
03000000eeeff26508000000320a1002080101000000e8ef1c000000fb0240fe00000000
00009001010000000402001054696d6573204e657720526f6d616e005bd4f47764d4f477
0100000000003000040000002d01010004000000f001000008000000320aa00139000100
00006bef1c000000fb0220ff0000000000009001000000000402001054696d6573204e65
7720526f6d616e005bd4f47764d4f4770100000000003000040000002d01000004000000
f001010008000000320a7002df010100000032ef0a00000026060f000a00ffffffff0100
000000001c000000fb021000070000000000bc02000000cc0102022253797374656d0000
00000a000000040000000000010000000100000000003000040000002d01010004000000
f0010000030000000000и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по критерию
(5).

Величина математического ожидания (динамической ошибки) определяется
выражением
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.

Величина дисперсии ошибки:
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picscalex1000100090000038903000003001c0000000000050000000902000000000500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. (6)

Для определения оптимальных значений параметров воспользуемся методом
дифференцирования:
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.

Из этого уравнения определяем
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. (7)

Подставив в исходное уравнение (6) вместо T1 его оптимальное значение
(7) и продифференцировав по переменной kи2, найдем ее оптимальное
значение
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.

Пусть задающее воздействие является случайным процессом с нулевым
математическим ожиданием и спектральной плотностью
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Флюктуационная составляющая характеризуется спектральной плотностью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.

В качестве фильтра используется идеальный интегратор:
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.

Найдем оптимальное значение коэффициента передачи интегратора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 по критерию минимума суммарной ошибки слежения:
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,

где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? величина дисперсии ошибки, обусловленная неточным
воспроизведением входного воздействия;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 ? величина дисперсии ошибки обусловленная воздействием
флюктуационной составляющей.
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picscalex1000100090000038602000003001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c026008e01b1200000026060f001a00ffffffff000010000000c0ffffff
b8ffffffa01b0000180800000b00000026060f000c004d617468547970650000e0010800
0000fa0200001000000000000000040000002d010000050000001402e9021c0905000000
1302e9026a0e050000001402e9024010050000001302e90222171c000000fb0240fe0000
000000009001000000000402001054696d6573204e657720526f6d616e005bd4f47764d4
f4770100000000003000040000002d01010009000000320a5903eb18030000006d696e65
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0100000000001c000000fb021000070000000000bc02000000cc0102022253797374656d
000000000a000000040000000000000000000100000000003000040000002d0100000400
0000f0010100030000000000 значение ошибки не выходит за пределы апертуры
дискриминационной характеристики, то появление сигнала приведет к
восстановлению режима слежения. Если же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, то происходит срыв слежения.

Вероятность того, что через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после пропадания сигнала ошибка слежения не
превышает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 определяет память следящей системы:
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.

picscalex100010009000003883600000000633600000000040000000301080005000000
0b0200000000050000000c02aa004501030000001e00040000000701040063360000410b
2000cc00a900440100000000a9004401000000002800000044010000a900000001000400
00000000000000000000000000000000000000000000000000000000ffffff00fefefe00
1d212400b2b2b2004d4d4d00a7a7a700f0f0f000686868009a9a9a00e1e1e100c7c7c700
d0d0d000e9e9e900bdbdbd00000000002222222222222222222222222222222222222222
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Рис.7. Распределение плотности вероятности ошибки слежения.

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Рис.8. Дискриминационная характеристика.

Рассмотрим пример.

Пусть следящая система имеет два интегратора (рис.9).

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Рис.9. Структурная схема системы.

Задающее воздействие определяется линейной зависимостью
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;

Поскольку система является астатической с астатизмом второго порядка
установившееся значение ошибки равно нулю, т.е.
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.

Следовательно,
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;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, а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,

т.е. напряжение на входе второго интегратора пропорционально скорости
изменения задающего воздействия
picscalex100010009000003c900000002001c0000000000050000000902000000000500
0000020101000000050000000102ffffff00050000002e0118000000050000000b020000
0000050000000c02600200021200000026060f001a00ffffffff000010000000c0ffffff
b7ffffffc0010000170200000b00000026060f000c004d61746854797065000060001c00
0000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d61
6e005bd4f47764d4f4770100000000003000040000002d01000008000000320a10022e01
0100000031791c000000fb0240fe0000000000009001010000020402001053796d626f6c
00774000000052050af75bd4f47764d4f4770100000000003000040000002d0101000400
0000f001000008000000320aa0010f000100000061790a00000026060f000a00ffffffff
0100000000001c000000fb021000070000000000bc02000000cc0102022253797374656d
000000000a000000040000000000000000000100000000003000040000002d0100000400
0000f0010100030000000000.

Таким образом, система отслеживает скорость изменения входного процесса
не по рассогласованию а по памяти. При пропадании сигнала на вход
система будет отслеживать его изменение, если скорость не изменятся. При
восстановлении сигнала ошибка будет минимальной, или равной нулю (в
реальной ситуации срыв может произойти в результате флюктуаций
управляемой величины под воздействием помех).

Память следящих систем определяется числом интегрирующих звеньев. Одно
звено обеспечивает память по положению, два – по скорости, три – по
ускорению.

Таким образом, система с астатизмом n –го порядка обладает памятью по
n-1 производной задающего воздействия.

ЛИТЕРАТУРА

1. Коновалов. Г.Ф. Радиоавтоматика: Учебник для вузов. – М.: Высш. шк.,
2000.

2. Радиоавтоматика: Учеб. пособие для вузов. / Под ред.В.А.
Бесекерского. – М.: Высш. шк., 2005.

3. . Первачев С. В. Радиоавтоматика: Учебник для вузов. – М.: Радио и
связь, 2002.

4. Цифровые системы фазовой синхронизации / Под ред. М.И. Жодзишского –
М.: Радио, 2000

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