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