Disturbance Attenuation Control with Control performance for Takagi-Sugeno Fuzzy Systems

Abstract

This paper is concerned with a mixed control problem of H1 disturbance attenuation control and guaranteed cost control for nonlinear systems, which are modelled by Takagi-Sugeno fuzzy model. We propose a controller that not only attenuates the disturbance but also improves the control performance based on multiple Lyapunov function, which uses the integral of the membership function. Finally, a numerical example is provided to illustrate the validity of the proposed approach.