Non-fragile hybrid guaranteed cost control for a class of uncertain switched linear systems

Key words:  Switched systems  Guaranteed cost control  Non-fragile control  Multiple-Lyapunov function

摘要:

Abstract:

This paper focuses on the problem of non-fragile hybrid guaranteed cost control for a class of uncer- tain switched linear systems. The controller gain to be designed is assumed to have additive gain variations. Based on multiple-Lyapunov function technique, the design of non-fragile hybrid guaranteed cost controllers is derived to make the corresponding closed-loop system asymptotically stable for all admissible uncertainties. Furthermore, a convex optimiza- tion approach with LMIs constraints is introduced to select the optimal non-fragile guaranteed cost controllers. Finally, a simulation example illustrates the effectiveness of the proposed approach.