实验五
MATLAB绘制Bode图、Nyquist图实验学科：自动控制理论
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学号：XXX
班级：XXX
实验五 MATLAB绘制Bode图、Nyquist图实验
一、实验目的
1. 掌握计算机绘制系统的Bode图、Nyquist图、根轨迹曲线方法；
2. 观察系统对单位阶跃信号的时域响应曲线；
3. 通过仿真结果和理论计算的对照，加深对系统特性的理解。

二、实验设备
PC、MATLAB
三、实验结果
1. 各传递函数的Bode图
(1 K (K = 1, K = 0.5
GH(s = 1
GH(s = 0.5
(2 (T = 0.2, T = 0.4
(3 (K = 0.5, T = 0.4; K = 1.0; T = 0.2
(4 (K = 1.0, T = 0.4; K = 1.0; T = 0.2
2. 各传递函数的Nyquist图
(1 K (K = 1, K = 0.5
GH(s = 1
GH(s = 0.5
(2 (T = 0.2, T = 0.4
(3 (K = 0.5, T = 0.4; K = 1.0; T = 0.2
(4 (K = 1.0, T = 0.4; K = 1.0; T = 0.2
3. 各传递函数的根轨迹曲线
(1 K (K = 1, K = 0.5
GH(s = 1, GH(s = 0.5
(2 (T = 0.2, T = 0.4
(5 (K = 0.5, T = 0.4; K = 1.0; T = 0.2
(6 (K = 1.0, T = 0.4; K = 1.0; T = 0.2
4. 各传递函数对单位阶跃信号的时域响应曲线
(1 K (K = 1, K = 0.5
GH(s = 1
GH(s = 0.5
(2 (T = 0.2, T = 0.4
(7 (K = 0.5, T = 0.4; K = 1.0; T = 0.2
(8 (K = 1.0, T = 0.4; K = 1.0; T = 0.2
5. 各传递函数的特征量如下表所示
传递函数GH(S
剪切频率
(rad/s 相角余量
(°
特征方程的根
GH(s = 1
GH(s = 0.5
5 90 -5
2.5 90 -2.5
2.89 135 -
∞135 -2.5
2.5 135 -5 5 135 -10。