Journal
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
Volume 11, Issue 4, Pages 1584-1592Publisher
SPRINGERNATURE
DOI: 10.1007/s40435-022-01079-0
Keywords
Linear quadratic regulator; Inverted pendulum; Newton-Raphson method
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This paper presents a deterministic approach for selecting the Q and R weighting matrices in LQR, allowing the designer to have control over performance parameters. The method is validated by applying it to the stabilization of a practical inverted pendulum system, resulting in good stability, settling time, and overshoot.
Linear quadratic regulator (LQR) is a control strategy that has found a wide range of applications. Even though LQR possesses high performance and good robustness, designing these controllers has been proved to be difficult, primarily due to lacking of a proper selection methodology to select Q and R weighing matrices. In this paper, we propose a deterministic approach to their selection, giving the designer actual control over performance parameters. This method has been by validated by applying it to the stabilization of a practical inverted pendulum system. MATLAB simulation results reveal that the proposed method results in good stability, settling time and overshoot.
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