Output feedback robust H∞ control for spacecraft rendezvous system subject to input saturation: A gain scheduled approach

• Published in: Journal of the Franklin Institute Vol. 356; no. 7; pp. 3899 - 3921
• Main Authors: Huang, Yi, Jia, Yingmin
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.05.2019; Elsevier Science Ltd
• Subjects: Aerospace engineering; Autonomous vehicles; Computer simulation; Control stability; Control systems; Controllers; H-infinity control; Matrix methods; Output feedback; Parameter uncertainty; Riccati equation; Robust control; Robustness (mathematics); Saturation; Space rendezvous; Spacecraft; Stability analysis; State observers
• ISSN: 0016-0032; 1879-2693; 0016-0032
• DOI: 10.1016/j.jfranklin.2018.12.023

In this paper, the problem of output feedback robust H∞ control for spacecraft rendezvous system with parameter uncertainties, disturbances and input saturation is investigated. Firstly, a full-order state observer is designed to reconstruct the full state information, whose gain matrix can be obtained by solving the linear matrix inequality (LMI). Subsequently, by combining the parametric Riccati equation approach and gain scheduled technique, an observer-based robust output feedback gain scheduled control scheme is proposed, which can make full use of the limited control capacity and improve the control performance by scheduling the control gain parameter increasingly. Rigorous stability analyses are shown that the designed discrete gain scheduled controller has faster convergence performance and better robustness than static gain controller. Finally, the performance and advantage of the proposed gain scheduled control scheme are demonstrated by numerical simulation.