PID Time behavior of the maximum and minimum points

Question

Alessandro Pozone 2020-5-4

0
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https://ww2.mathworks.cn/matlabcentral/answers/522877-pid-time-behavior-of-the-maximum-and-minimum-points

回答： Paresh yeole 2020-5-4

Hello guys,

I am moving my first steps in Matlab/Simulink and I am working with PID controls.

What i'd like to achieve is the time behavior of the maximum and minimum points of a PID system: my understanding is that if I have a transfer function like

then I can compute:

Now my question is the following:

Is there any fast way to obtain these bounds? (like a particular command? ) Or I need to tune my PID with PID Tuner, get the transfer function and compute the bound by hand?

Many thanks :)