Delay-dependent stability and H-infinity control for uncertain discrete switched singular systems with time-delay

摘要

The robust stability, robust stabilization and H-infinity control problems for time-delay discrete switched singular systems with parameter uncertainties are discussed. Based on the restricted system equivalent (r.s.e.) transformation and by introducing new state vectors, the switched singular system is transformed into a switched standard linear system, and delay-dependent linear matrix inequality (LMI) conditions for the time-delay discrete-time switched singular systems to be regular, causal and uniformly asymptotically stable; uniformly robust asymptotically stable with c-disturbance attenuation are obtained, respectively. With these conditions, robust stabilization problem and robust H-infinity control problem are solved based on LMIs. (c) 2008 Elsevier Inc. All rights reserved.