How to tune this Transfer Function using Zieger nichols or Cohen coon

I think that Ziegler-Nichols and Cohen-Coon methods are more suitable if the mathematical model of the plant is unavailable. Nevertheless, you can try some automated tuning algorithm available in FileExchange:

https://www.mathworks.com/matlabcentral/fileexchange/47836-automated-ziegler-nicholas-pid-tuning

I prefer human tuning (mathematically, or course) because the human operator can make the system to behave as desired. In this case, a compensator is used to make the system converge around 5 sec without signicant overshoot and undershoot.

s = tf('s');
Gp = (5809000*s + 28060)/(s^2 + 571300*s + 1266)                % plant
Gc = 0.09835/(s^4 + 2.205*s^3 + 3.511*s^2 + 2.817*s + 0.0135)   % compensator
Gsys = feedback(Gc*Gp, 1);
Gsys = minreal(Gsys)
step(Gsys, 15)

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Isyraf Izuddin 2022-5-31

thank you

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Answer 2

MRR 2022-5-30

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https://ww2.mathworks.cn/matlabcentral/answers/1729215-how-to-tune-this-transfer-function-using-zieger-nichols-or-cohen-coon#answer_974425

Hi @Isyraf Izuddin,

You can try to obtain a FOPTD model (First Order Plus Time Delay). Then you can use several tuning rules, including Ziegler-Nichols, and Cohen-Coon. I link here one of our works related with the implementation of tuning rules by means of interactive tools developed in Matlab.

https://www.mdpi.com/2073-8994/10/11/569

Hope it helps.

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Answer 3

Kunal 2023-2-19

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1729215-how-to-tune-this-transfer-function-using-zieger-nichols-or-cohen-coon#answer_1174855

s = tf('s'); Gp = (5809000*s + 28060)/(s^2 + 571300*s + 1266) % plant Gc = 0.09835/(s^4 + 2.205*s^3 + 3.511*s^2 + 2.817*s + 0.0135) % compensator Gsys = feedback(Gc*Gp, 1); Gsys = minreal(Gsys) step(Gsys, 15)