I am trying to figure out how the controllers will differ in their behavior for a specific task and how (in Matlab/Simulink, if possible)
For instance, we know for PID, we can tune the Tr, Tp, Ess, etc., and by adjusting the P/I/D, we can control a particular parameter.
(1.) How about LQR/LQG/MPC? Which parameters of these controllers refer to what change in the system response?
Say, I am to control the step response to an electrical system. The system should be maintained near a voltage value of 1 pu. In the case of PID, I can adjust my response. If I want to get a similar adjustment, how can I make that with LQR/LQG/MPC?
Thank you all.
Dear Md. Rayid Hasan Mojumder,
I suggest you to see links and attached file on topic.
https://webthesis.biblio.polito.it/11982/1/tesi.pdf
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Best regards
Dear Rayid,
As you mentioned, when tuning PI/PID controllers you can a priori decide the performance of your closed loop system from the right choice of Kp, Ki, and Kd.
In the case of the family of optimal controllers as the LQR or MPC, you can manipulate the closed loop system response by selecting the right values of the Q and R matrices appearing in the cost function. You can even use some optimization techniques to find the values of the entries of the Q and R matrices such that some robustness is obtained.
Best,
Jorge
I join to Jorge's answer. There are several publications on my page on the optimization of weight matrices, even in a multi-criteria aspect. In essence, this is not a very easy task as an algorithmic and software implementation. You can use the Monte Carlo methods or simply generate different combinations of values using the procedure for L-P tau sequences of MATLAB and choose the one that gives the best approximation.
Hi Md, you can refer to both PID and LQR control publications as it has detail analysis on implementation of PID, LQR and linear feedback controllers both in MATLAB/SIMULINK and also have done implementation of PID controller experimentally. I hope it will work. Thanks
Conference Paper Rapid Control Prototyping Based Design of Buck Converter Usi...
Conference Paper Linear Feedback and LQR Controller Design for Aircraft Pitch Control
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