Non-fragile robust H ∞ control for uncertain spacecraft rendezvous system with pole and input constraints

• Published in: International journal of control Vol. 85; no. 7; pp. 933 - 941
• Main Authors: Gao, Xiangyu, Teo, K.L., Duan, Guan-Ren
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.07.2012; Taylor & Francis; Taylor & Francis Ltd
• Subjects: Adaptative systems; Applied sciences; Computer science; control theory; systems; control; Control system analysis; Control system synthesis; Control theory. Systems; Controllers; Exact sciences and technology; Fundamental areas of phenomenology (including applications); input constraint; LMIs; non-fragile H; Physics; poles constraint; Solid dynamics (ballistics, collision, multibody system, stabilization...); Solid mechanics; Spacecraft; spacecraft rendezvous system; Studies; State feedback; poles constraint; Spacecraft; H infinite control; Solid dynamic; Feedback regulation; Control synthesis; LMIs; control; Fork join problem; Robust control; input constraint; Uncertain system; Linear matrix inequality; spacecraft rendezvous system; non-fragile H; Lyapunov function
• DOI: 10.1080/00207179.2012.669848
• ISSN: 0020-7179

This article investigates the robust H ∞ control problem for a class of spacecraft rendezvous systems with parameter uncertainties and subject to input constraint, pole constraint and external and controller perturbations. Based on the Lyapunov theory, a sufficient condition for the existence of the non-fragile robust state-feedback controller is given in terms of linear matrix inequalities (LMIs). Then, proper non-fragile controller design can be cast as a convex optimisation problem subject to LMI constraints. With the obtained controller, the spacecraft rendezvous mission can be accomplished. An illustrative example is provided to show the effectiveness of the proposed control design method.