An alternative LMI static output feedback control design for discrete-time nonlinear systems represented by Takagi–Sugeno models

Abstract

This paper presents a static output feedback controller design for discrete-time nonlinear systems exactly represented by Takagi–Sugeno models. By introducing past states in the control law as well as in the Lyapunov function, more relaxed results are obtained. Different conditions in terms of linear matrix inequalities are provided. The proposed conditions are less demanding than the ones in the literature. This is illustrated via numerical examples.