Sampled-data control of switched nonlinear systems via T-S fuzzy models

Abstract

This paper investigates the sampled-data control for a switched nonlinear system whose subsystems are represented by a family of T-S fuzzy models. In the case that the switching occurs at two consecutive sampling times, such a sampling interval is divided into a pseudo-matched interval and a mismatched interval. The sampling time interval without switching is defined as another pseudo-matched interval. For these intervals, three new functionals are respectively constructed by means of multiple Lyapunov functions, looped functionals and a discontinuous scalar auxiliary function. The proposed functionals do not need to be positive definite, and the jumps of functionals at switching instants are eliminated. Sufficient conditions on exponential stabilization via sampled-data state feedback are established.