Less conservative H∞ fuzzy control for discrete-time Takagi-Sugeno systems

Abstract

New analysis and control design conditions of discrete-time fuzzy systems are proposed. Using fuzzy Lyapunov's functions and introducing slack variables, less conservative conditions are obtained. The controller guarantees system stabilization and H performance. Numerical tests and a practical experiment in Chua's circuit are presented to show the effectiveness. © 2011 Leonardo Amaral Mozelli and Reinaldo Martinez Palhares.