자동제어 | 다양한 전달함수의 root-locus 그리기 |

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작성자 cemtool 작성일14-08-07 11:22 조회18,888회 댓글0건

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다음과 같이 주어진 전달함수의 root-locus를 그리시오.

5.1 $K_GG(s)=K_G\frac{1}{s(s+1)}$

5.2 $KG(s)=K\frac{s}{s^2+1}$

5.3 $G(s)=\frac{s+1}{s^2}$

5.4 $G(s)=\frac{s+1}{s^2(s+4)}$

5.5 $G(s)=\frac{s+1}{s^2(s+12)}$

5.6 $G(s)=\frac{s+1}{s^2(s+9)}$

5.7 $G(s)=\frac{1}{s(s+2)[(s+1)^2+4]}$

5.8 $G(s)=\frac{(s+1)^2+16}{s[(s+0.1)^2+25]}$

5.9 $G(s)=\frac{(s+0.1)^2+25}{s[(s+0.1)^2+16]}$

ex5_1_9p.cem

/*
 example 5.1 Root Locus for a DC Motor
*/
 
del *;
 
"*********************************"
"**                             **"
"**         example 5.1         **"
"**  Root Locus for a DC Motor  **"
"**                             **"
"*********************************"
" "
sleep(2);
 
"Example 5.1의 root locus"
" "
"CEMTool>> figure(1);"
"CEMTool>> num = 1;"
"CEMTool>> den = [1 1 0];"
"CEMTool>> rlocus(num,den);"
"CEMTool>> title(\"Example 5.1\");"
" "
figure(1);
num = 1;
den = [1 1 0];
rlocus(num,den);
title("Example 5.1");
 
sleep(2);
 
"**************************************************"
"**                                              **"
"**                 example 5.2                  **"
"**  Root Locus with Respect to Plant Parameter  **"
"**                                              **"
"**************************************************"
" "
sleep(2);
 
"Example 5.2의 root locus"
" "
 
figure(2)num = [1 0];
den = [1 0 1];
rlocus(num,den);
title("Example 5.2");
 
sleep(2);
 
"*********************************************"
"**                                         **"
"**              example 5.3                **"
"**  Illustrative Locus: Large Values of p  **"
"**                                         **"
"*********************************************"
" "
sleep(2);
 
"Example 5.3의 root locus"
" "
 
figure(3)num = [1 1];
den = [1 0 0];
rlocus(num,den);
title("Example 5.3");
 
sleep(2);
 
"*******************************"
"**                           **"
"**         example 5.4       **"
"**  Illustrative Locus: p=4  **"
"**                           **"
"*******************************"
" "
sleep(2);
 
"Example 5.4의 root locus"
" "
 
figure(4);
num = [1 1];
den = [1 4 0 0];
rlocus(num,den);
title("Example 5.4");
 
sleep(2);
 
"********************************"
"**                            **"
"**         example 5.5        **"
"**  Illustrative Locus: p=12  **"
"**                            **"
"********************************"
" "
sleep(2);
 
"Example 5.5의 root locus"
" "
 
figure(5);
num = [1 1];
den = [1 12 0 0];
rlocus(num,den);
title("Example 5.5");
 
sleep(2);
 
"*******************************"
"**                           **"
"**         example 5.6       **"
"**  Illustrative Locus: p=9  **"
"**                           **"
"*******************************"
" "
sleep(2);
 
"Example 5.6의 root locus"
" "
 
figure(6);
num = [1 1];
den = [1 9 0 0];
rlocus(num,den);
title("Example 5.6");
 
sleep(2);
 
"******************************************"
"**                                      **"
"**             example 5.7              **"
"**  Illustrative Locus: Multiple Poles  **"
"**                                      **"
"******************************************"
" "
sleep(2);
 
"Example 5.7의 root locus"
" "
 
// example 5.7// Illustrative Locus: Multiple Poles
figure(7);
num = 1;
den = convo([1 0],[1 2]);
den = convo(den,[1 2 5]);
rlocus(num,den);
title("Example 5.7");
 
"********************************************************"
"**                                                    **"
"**                    example 5.8                     **"
"**  Illustrative Locus: Arrival and Departure AnglesⅠ**"
"**                                                    **"
"********************************************************"
" "
sleep(2);
 
"Example 5.8의 root locus"
" "
 
// example 5.8// Illustrative Locus: Arrival and Departure Angles Ⅰ
figure(8);
num = [1 0.2 16.01];
den = [1 0.2 25.01 0];
rlocus(num,den);
title("Example 5.8");
 
"********************************************************"
"**                                                    **"
"**                    example 5.9                     **"
"**  Illustrative Locus: Arrival and Departure AnglesⅡ**"
"**                                                    **"
"********************************************************"
" "
sleep(2);
 
"Example 5.9의 root locus"
" "
 
// example 5.9// Illustrative Locus: Arrival and Departure Angles Ⅱ
figure(9);
num = [1 0.2 25.01];
den = [1 0.2 16.01 0];
rlocus(num,den);
title("Example 5.9");