how to choose LQR

T
tesem · Dec 16, 2020 · 2.1K views
Question
 i am trying to use LQR controller i simulate my system and have my A and B matrix ,, used theme in m-file and use the lqr function to control this system,,, is there any way to know what is the right value for Q and R ?? i try a lot of values for them but the results give me 2 positive values and that is wrong, all values must be negative depending on the choice of the Q and R. so is there any way make me know what is the right values for them instead of try and error ? please help
Expert Answer
Profile picture of Prashant Kumar
Prashant Kumar PhD Expert
Answered Aug 30, 2026
LQR always returns a stabilizing feedback gain.
Are there 1 or 2 eigen values that are always show up positive?
You most likely have an uncontrollable mode in your system. As Azzi mentioned you have to just try different weights, choosing Q and R is part art, part science.
If you can provide the state space (A,B,C,D) for your plant, it would be useful.
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