$H\infty$ Delay-independent stabilization for Takagi Sugeno fuzzy system based on Saturated Output Control

Abstract

This paper is focused on non-quadratic SOF control for delayed Takagi Sugeno (T-S) models with input saturation and external disturbances. A polytopic representation is first used to describe the input nonlinearity. By using a descriptor redundancy approach, an augmented form of the closed-loop system is established. Then, in order to reduce the conservatism of the quadratic approach, a poly-quadratic function and a Lyapunov-Krasovskii function (LKF) are used to derive $H\infty$ stabilization conditions. The design conditions are formulated and resolved in LMIs terms. A simulation example is made to show the successful of the proposed method.