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자동제어 | lead compensator 설계하기 |

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작성자 cemtool 작성일14-09-16 11:37 조회15,091회 댓글2건

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어떤 unity feedback 시스템의 개루프 전달함수가 다음의 식과 같이 주어진다.

이때, 폐루프 시스템이 다음과 같은 specification을 만족하도록 하는 lead compensator를 설계하시오.

● 단위 ramp 입력에 대한 정상 상태의 오차가 0.01 미만이어야 한다.

● dominant 폐루프 pole에 대해서 damping ratio ζ=0.4이어야 한다.

ex6_48.cem
/*
  Exercise 6.48*/
 
del *;
"************************"
"**                    **"
"**   Exercise 6.48    **"
"**                    **"
"************************"
" "
sleep(2);
 
"G(s) = 1/s(1+s/5)(1+s/250)"
" "
sleep(2);
 
numG = 1;
denG = convo([1/5 1 0],[1/250 1]);
 
// bode plot"bode plot"
" "
sleep(1);
 
w = logspace(-1, 3, 1000);
bode(numG,denG,w);
 
// compensator
"compensator"
"D(s) = (s/15+1)/(s/75+1)"
" "
sleep(2);
 
numD = [1/15 1];
denD = [1/75 1];
 
// open loop
num = convo(numG,numD);
den = convo(denG,denD);
 
"bode plot of compensated system"
" "
sleep(1);
holdon;
bode(num,den,w);
 
"graph 설명"
"빨강색: 원래의 system"
"파랑색: compensated system"





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