基于Matlab设计计算过阻尼二阶系统性能指标的代码
时间: 2023-12-10 22:03:39 浏览: 299
以下是基于Matlab设计计算过阻尼二阶系统性能指标的代码:
```matlab
%定义过阻尼二阶系统的参数
omega_n = 2; %自然频率
zeta = 0.7; %阻尼比
Kp = 1; %静态增益
%计算性能指标
tp = pi / (omega_n * sqrt(1 - zeta^2)); %峰值时间
tr = 1.8 / (omega_n * sqrt(1 - zeta^2)); %上升时间
ts = 4 / (zeta * omega_n); %调节时间
Mp = exp(-zeta * pi / sqrt(1 - zeta^2)); %最大超调量
ess = 1 / (1 + Kp); %稳态误差
%输出性能指标
fprintf('峰值时间tp = %f\n', tp);
fprintf('上升时间tr = %f\n', tr);
fprintf('调节时间ts = %f\n', ts);
fprintf('最大超调量Mp = %f\n', Mp);
fprintf('稳态误差ess = %f\n', ess);
```
在这个例子中,我们假设系统的自然频率为2,阻尼比为0.7,静态增益为1。使用上述代码,我们可以计算出系统的峰值时间、上升时间、调节时间、最大超调量和稳态误差。你可以根据自己的需要修改系统参数并运行代码。
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