Mixed H∞/H2 gain-scheduled control for spacecraft rendezvous in elliptical orbits. (February 2014)

• Record Type: Journal Article
• Authors: Ma, Lichao; Meng, Xiuyun; Liu, Zaozhen; Du, Lifu
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 228:Number 2(2014:Feb.)
• Page Start: 236
• Page End: 247
• Publication Date: 2014-02
• Subjects: Rendezvous -- H∞ control -- H2 control -- gain-scheduled control -- parameter-dependent Lyapunov function; Aeronautics -- Periodicals; Astronautics -- Periodicals; Airplanes -- Design and construction -- Periodicals; Aerospace industries -- Periodicals; 629.1
• DOI: 10.1177/0954410012468633
• Languages: English
• ISSNs: 0954-4100

Abstract

A mixed H ∞ / H 2 gain-scheduled state-feedback control method is developed for trajectory tracking of spacecraft rendezvous in elliptical orbits. Since the tracking accuracy is vulnerable to exogenous disturbances, the mixed H ∞ / H 2 control, which takes into consideration both worst-case disturbance-attenuation performance and tracking performance, is particularly attractive for trajectory tracking of spacecraft rendezvous. Owing to the fact that the dynamic model for elliptical-orbit rendezvous is time varying, the feedback gain matrix is formulated as a matrix fraction of parameter-dependent matrix. Parameter-dependent Lyapunov functions are adopted to reduce conservatism caused by fixed quadratic Lyapunov matrices, and slack matrices are introduced to avoid setting a common Lyapunov matrix for different performances. Then, the desired controller can be obtained through a convex optimization with linear matrix inequality constraints. Computer simulations show that the proposed method can (a) handle trajectory tracking of elliptical-orbit rendezvous effectively; (b) provide a balanced performance between disturbance-attenuation performance and tracking performance; and (c) yield results that are less conservative than those obtained through conventional methods.