Prediction-based sampled-data H_∞ controller design for attitude stabilisation of a rigid spacecraft with disturbances

ABSTRACT

This paper investigates the H_∞ control problem of the attitude stabilisation of a rigid spacecraft with external disturbances using prediction-based sampled-data control strategy. Aiming to achieve a ‘virtual’ closed-loop system, a type of parameterised sampled-data controller is designed by introducing a prediction mechanism. The resultant closed-loop system is equivalent to a hybrid system featured by a continuous-time and an impulsive differential system. By using a time-varying Lyapunov functional, a generalised bounded real lemma (GBRL) is first established for a kind of impulsive differential system. Based on this GBRL and Lyapunov functional approach, a sufficient condition is derived to guarantee the closed-loop system to be asymptotically stable and to achieve a prescribed H_∞ performance. In addition, the controller parameter tuning is cast into a convex optimisation problem. Simulation and comparative results are provided to illustrate the effectiveness of the developed control scheme.

KEYWORDS:

• Rigid spacecraft
• attitude stabilisation
• sampled-data control
• prediction mechanism
• H_∞ performance

Acknowledgments

The authors would like to thank the editor and all the anonymous reviewers for their valuable suggestions that helped to improve the quality of the manuscript.

Disclosure statement

No potential conflict of interest was reported by the authors.