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

Abstract

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.

Keywords:

• non-fragile H _∞ control
• LMIs
• spacecraft rendezvous system
• poles constraint
• input constraint

Acknowledgements

This work was supported by the Innovative Team Program of the National Natural Science Foundation of China under Grant No. 61021002, the National Natural Science Foundation of China under Grant No. 61074111 and a Discovery Grant from the Australia Research Council.