Stabilisation and control synthesis of switching systems subject to actuator saturation

Abstract

This article presents sufficient conditions for the stabilisation of switching discrete-time linear systems subject to actuator saturations. These conditions are obtained by using successively state and output feedback control laws. The obtained results are formulated in terms of linear matrix inequalities (LMIs). The saturating and non-saturating controllers are synthesised for both cases in this work. Three sets of LMIs are presented for output feedback case. Numerical examples are used to illustrate these techniques by using a linear optimisation problem subject to LMI constraints.

Keywords:

• switching systems
• actuator saturations
• state feedback control
• output feedback control
• multiple Lyapunov functions
• LMIs

Acknowledgement

The authors would like to thank the anonymous reviewers for their valuable comments and suggestions, which helped improving the quality of the article.