Abstract— The present paper is focused on linear quadratic regulator (LQR) synthesis. It is evident that the solution of the problem leads to finding a solution of symmetric root locus (SRL) problem. It is proven and analytical evidences is also presented that by using SRL synthesis method and further application of LQR method guarantees stability, minimum phase and gain margins of the closed loop system. The presented mathematical relationships are further proven with experimental investigation in MATLAB programming environment.
Keywords— linear quadratic regulator, minimum phase system, Riccati equation, stability, state space, symmetric root locus.
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