Robust stability and memory feedback control for uncertain switched TS fuzzy systems with multiple time-varying delays

Abstract

This paper focuses on the robust stability and the memory feedback control problems of uncertain switched fuzzy systems with mode-dependent multiple time-varying delays. Thus, by constructing a novel Lyapunov functional, the aggregation techniques, and the Borne and Gentina criterion, new algebraic robust stability and stabilization conditions under arbitrary switching have been established. Compared with existing results, the proposed criteria are explicit and simple to apply without searching a Common Lyapunov Function (CLF) through Linear Matrix Inequalities (LMIs), considered a difficult matter in this case. Finally, the practicality and effectiveness of the proposed theory are demonstrated through both a simulation example and a real example (robot arm).

Keywords

• Uncertain switched TS fuzzy systems
• mode-dependent multiple time-varying delays
• arbitrary switching
• global asymptotic stability
• Borne-Gentina criterion
• robust memory state feedback controller