Robust admissibility of uncertain switched singular systems

Abstract

This article investigates the robust admissibility of uncertain discrete-time switched singular systems. First, the admissibility is introduced, by using the switched Lyapunov function, for singular systems. Sufficient conditions for robust admissibility of uncertain switched singular systems are presented in strict linear matrix inequalities formulation. Robust admissibility condition designs for both state feedback and static output control feedback are then derived. Numerical examples are provided to illustrate our approach.

Keywords:

• singular systems
• switched systems
• uncertainty
• state-feedback control
• static output control
• strict ℒℳℐs

Acknowledgement

The authors would like to thank the reviewers for their valuable suggestions.