自动控制原理实验三四.docx
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自动控制原理实验三四
实验三线性系统的根轨迹
1、请绘制下面系统的根轨迹曲线
G(S)=K/s(s^2+2s+2)(s^2+6s+13)
答:
num=[1];
den=[conv([122],[1613]),0];
rlocus(num,den)
grid
bode图:
G(S)=K(s+12)/(s+1)(s^2+12S+100)(s+10)
num=[112];
den=[conv([11],conv([112100],[110]))];
rlocus(num,den)
grid
G(S)=K(0.05s+1)/s(0.0714s+1)(0.012s^2+0.1s+1)
答:
num=[0.05,1];
den=[conv([0.0714,1],[0.012,0.1,1]),0];
rlocus(num,den)
grig
bode图:
实验四线性系统的频域分析
1、典型的二阶系统
G(S)=Wn^2/(S^2+2eWnS+Wn^2)
绘制出Wn=6,e=0.1,0.3,0.5,0.8,2的bode图
答:
num=[1];
den=[11.236];
bode(num,den)
grid
holdon
num1=[36];
den1=[13.636];
bode(num1,den1)
holdon
num2=[36];
den2=[1636];
bode(num2,den2)
holdon
num3=[36];
den3=[19.636];
bode(num3,den3)
holdon
num4=[36];
den4=[12436];
bode(num4,den4)
2、系统的开环传递函数为
答:
num=[10];
den=[conv([5,-1],[1,5]),0,0];
[z,p,k]=tf2zp(num,den);p
p=
0
0
-5.0000
0.2000
Nyquist(num,den)
Bode(num,den);
Grid
2
num=[88];
den=[conv([115],[1610]),0,0];
[z,p,k]=tf2zp(num,den);p
p=
0
0
-15.0000
-3.0000+1.0000i
-3.0000-1.0000i
nyquist(num,den)
bode(num,den)
grid
3
num=[4/34];
den=[conv([0.021],conv([0.051],[0.11])),0];
[z,p,k]=tf2zp(num,den);p
p=
0
-50.0000
-20.0000
-10.0000
Nyquist(num,den)
bode(num,den)
grid