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자동제어 | root locus |

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작성자 cemtool 작성일14-09-04 09:47 조회12,795회 댓글1건

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다음의 그림과 같은 feedback 시스템을 생각하자.

ex5_28-1.gif

이때, 다음의 식과 같이 주어지는 시스템에 대하여 root-locus를 그리시오.

ex5_28.cem
/*
  Exercise 5.28*/
 
del *;
"***********************"
"**                   **"
"**   Exercise 5.28   **"
"**                   **"
"***********************"
" "
sleep(2);
" "
"     +"
" r--->o--->[G(s)]----->y"
"     -|            |"
"      |            |"
"      ----[H(s)]----"
" "
sleep(2);
 
// part(a)"part (a)"
" "
"G(s) = K/s(s+1+3j)(s+1-3j)"
"H(s) = (s+2)/(s+8)"
" "
"root locus"
" "
sleep(2);
 
figure(1);
num = [1 2];
den = [convo(convo([1 1+3j],[1 1-3j]),[1 8]) 0];
rlocus(num,den);
 
// part(b)"part (b)"
" "
"G(s) = K(s+1)/s^2(s+3)"
"H(s) = 1"
" "
"root locus"
" "
sleep(2);
 
figure(2);
num = [1 1];
den = [1 3 0 0];
rlocus(num,den);
 
// part(c)"part (c)"
" "
"G(s) = K(s+5)(s+7)/(s+1)(s+3)"
"H(s) = 1"
" "
"root locus"
" "
sleep(2);
 
figure(3);
num = convo([1 5],[1 7]);
den = convo([1 1],[1 3]);
rlocus(num,den);
 
// part (d)"part (d)"
" "
"G(s) = K(s+3+4j)(s+3-4j)/s(s+1+2j)(s+1-2j)"
"H(s) = 1"
" "
"root locus"
" "
sleep(2);
 
figure(4);
num = convo([1 3+4j],[1 3-4j]);
den = [convo([1 1+2j],[1 1-2j]) 0];
rlocus(num,den);
5_28_1_figure.png
5_28_2_figure.png
5_28_3_figure.png



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