Hi guys

I know this not quite by the book of control theory, but i am looking into ways to implement an adaptive system onto my PIDF. Lets say (theoretical) that we dont have equations of state, hence we can't linearize the system around certain operating points. We can only do open-loop step response to estimate a optimal controller. The system is unstable and have complex poles.

With that being said. How would you approach the adaptive system? I know that Asymptotic Properties for LQR/LQG controller works, but i want propose something less complex.

I've tried something so simple as using the step response slope of the system to estimate a time constant (assuming first order), and thereby using abs(time_const-desired_time_constant) as a factor for multiplying the old controller gain.

Do you guys see any other (creative) ways of calculating the adaptive parameters? I have zero time delay. Any (included dump) suggestion are appreciated.

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