Linear Quadratic Regulator Procedure and Symmetric Root Locus Relationship Analysis

Mariela Alexandrova • Nasko Atanasov • Ivan Grigorov • Ivelina Zlateva

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.

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Journal

International Journal of Engineering Research and Science

The International Journal of Engineering Research & Science (IJOER) is an open access, peer-revie... see more