Observer-Based Fuzzy Control: Delay-Dependent Method

Abstract

This chapter studies the problem of observer-based H_∞ control for Takagi-Sugeno (T-S) fuzzy systems. It aims to provide a delay-dependent LMI-based method for the control design. It is known that the key important problem in the literature, even for delay-independent case, lies in the difficulty of decoupling matrix variables in corresponding matrix inequalities. This chapter suggests a decoupling technique for solving matrix inequalities with coupled variables, and provides an LMI-based algorithm by adopting the idea of the cone complementarity problem. The derivation relies on the appropriate choice of Lyaponuv-Krasovskii functionals which incorporate the intersections among fuzzy local systems. Illustrative examples are given to show the effectiveness of the present delay-dependent result.