Evaluation and Comparison of Linear Quadratic Control Techniques

Exploring Stability and Robustness in Loop Transfer Recovery Approaches

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Abstract

This research evaluates various linear quadratic control techniques, with a particular focus on loop transfer recovery methods, to enhance the safety and robustness of flight control systems. It aims to address the limitations of classical control strategies in managing complex, multivariable systems by implementing advanced recovery mechanisms. The study utilizes a simulation model of the Cessna Citation PH-LAB aircraft to explore the effectiveness of linear quadratic regulator (LQR), linear quadratic Gaussian (LQG), and loop transfer recovery (LTR) control methods. It examines their time and frequency-domain characteristics, robustness against uncertainties, and performance in tracking normal acceleration commands. The research identifies the strengths and weaknesses of each method, contributing to the development of more reliable and efficient control systems for aviation.