Observer‐based non‐linear H∞ attitude control for a flexible satellite. Issue 15 (1st October 2017)

• Record Type: Journal Article
• Authors: Bai, Huihui; Zhou, Yanru; Sun, Hongfei; Zeng, Jianping
• Is Part Of: IET control theory & applications. Volume 11:Issue 15(2017)
• Page Start: 2403
• Page End: 2411
• Publication Date: 2017-10-01
• Subjects: observers -- attitude control -- nonlinear control systems -- H∞ control -- control system synthesis -- artificial satellites -- Lyapunov methods -- stability -- state feedback -- convex programming; observer‐based nonlinear H∞ attitude control -- flexible satellite -- OBNH attitude control problem -- external disturbances -- local state‐region constraints -- structural features -- Lyapunov stability theory -- solvable conditions -- reduced‐order state observer design -- state‐feedback controller design -- polynomial sum‐of‐squares -- polynomial SOS -- generalised S‐procedure techniques -- convex optimisation problem -- SOS constraints; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2017.0129
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : This study focuses on the observer‐based non‐linear H ∞ (OBNH) attitude control for a flexible satellite with external disturbances and local state‐region constraints. By considering the structural features of the attitude system and applying Lyapunov stability theory, the solvable conditions of the OBNH attitude control problem are provided. An advantage of this study is that the state‐feedback controller and the reduced‐order state observer can be designed independently, thus significantly reducing the complexity of the attitude control algorithm. Furthermore, based on the polynomial sum of squares (SOSs) and the generalised S ‐procedure techniques, the above problem can be transformed into a convex optimisation problem with SOS constraints. This conversion can effectively overcome the computational difficulties widely present in the control problem of non‐linear systems. Finally, a numerical example is given to illustrate the effectiveness and feasibility of the proposed approach.