Robust Stabilization for Takagi-Sugeno Fuzzy Descriptor System with Model Uncertainties

Abstract

We provide a new design condition for Takagi-Sugeno fuzzy descriptor system with norm-bounded time-varying uncertainties. Our obtained condition guarantees a stability of the closed loop system and a norm bounded constraints for all uncertainties in the system parameters. In this paper, to reduce the conservativeness in a design condition, we propose a Lyapunov function candidate with integral functions of the membership functions. Furthermore, some lemmas are used for obtaining a less conservative and a linear matrix inequalities (LMIs) based design condition.