Tuning of a Linear-Quadratic Stabilization System for an Anti-Aircraft Missile

• Main Author: Witold Bużantowicz
• Format: Article
• Language: English
• Published: MDPI AG 2021-02-01
• Series: Aerospace
• Subjects: linear-quadratic regulator; tuning parameter; autopilot; anti-aircraft missile
• Online Access: https://www.mdpi.com/2226-4310/8/2/48

A description is given of an application of a linear-quadratic regulator (LQR) for stabilizing the characteristics of an anti-aircraft missile, and an analytical method of selecting the weighting elements of the gain matrix in feedback loop is proposed. A novel method of LQR tuning via a single parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ς</mi></semantics></math></inline-formula> was proposed and tested. The article supplements and develops the topics addressed in the author’s previous work. Its added value includes the observation that the solutions obtained are symmetric pairs, and that the tuning parameter <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ς</mi></semantics></math></inline-formula> proposed for the designed linear-quadratic regulator enables the selection of suitable parameters for the airframe stabilizing loop for the majority of the analytical solutions of the considered Riccati equation.