How can i extract (A,B,C and D) matrices for a full state control system with LQR controller ?

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Yew-Chung Chak

Hi Mahdi Sadeghi

Generally, least-squares rational function estimation-based approach can be used to estimate the state-space model {A, B, C ,D} using data that can be in the frequency domain or the time domain.

If you are satisfied with the estimation result, then you can proceed with the LQR design.

Xingyu Zhou

You derive (A,B,C,D) from firth-principle methods or data-driven appraoches. With (A,B,C,D), you can design LQR via the Ricatti equation or LMI.