Gershgorin's theorem based stabilization for uncertain discrete-time switched Takagi - Sugeno fuzzy systems with time-varying delays

Abstract

This paper investigates stabilization for a class of uncertain discrete-time switched TS fuzzy systems with with time-varying delays. By using Gershgorin's disc theorem, a new delay-independent criteria for time-delay systems are established to design a state feedback controller by using induced norm control, which guarantee that the corresponding closed-loop system is robustly asymptotically stable under arbitrary switching. Finally, a practical example (a robot arm) with simulation results is given to demonstrate the effectiveness of the proposed approaches.