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I got a TF of my plant G(s) = s + 10/3s^3 + 8s^2 + 30s + 25 and I would like to implement a PID controller so that the system closely follows the varying input signal, I used r(t) = 0.5sin(t) + 0.5. How can I calculate the correct setting for Kp, Ki and Kd to do this without guessing random values?

I made this feedbackloop in simulink feedbackloop

And I want an output signal that follows the input signal, so the yellow and blue line should lie on eachother. output signal

Jonas
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Senti
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