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자동제어 | lead compensator 설계하기 |

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작성자 cemtool 작성일14-09-17 11:10 조회14,425회 댓글2건

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다음과 같은 type Ⅰ의 unity feedback 시스템에서 이고 PM > 40°가 되도록 하는 lead compensator를 설계하시오.

ex6_52.cem
/*
  Exercise 6.52*/
 
del *;
"************************"
"**                    **"
"**   Exercise 6.52    **"
"**                    **"
"************************"
" "
sleep(2);
 
"G(s) = K/s(s+1)"
" "
sleep(2);
 
numG = 1;
denG = [1 1 0];
 
// bode plot"bode plot"
" "
sleep(1);
 
w = logspace(-2, 2, 1000);
bode(numG,denG,w);
 
// compensator
"compensator"
"D(s) = 12(s/3.18+1)/(s/9.53+1)"
" "
sleep(2);
 
numD = 12*[1/3.18 1];
denD = [1/9.53 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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Designing a lead compensator for an automatic control system is a crucial step towards achieving the desired performance and stability. In the context of the provided problem, where we have a Type I unity feedback system, the goal is to design a lead compensator that ensures a phase margin (PM) greater than 40°. This requirement for a substantial phase margin is indicative of the need for a stable and well-damped system that can respond robustly to disturbances.

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