A Switching Controller for Nonlinear Systems via TS Fuzzy Models

Abstract

A design approach is proposed for the stabilization of non linear systems using fuzzy Takagi-Sugeno models. The fuzzy model is represented as a set of uncertain linear systems where the uncertainty depends on the fulfillment degree of each rule. An optimization procedure is used to maximize the stability region of each closed loop local system. The local controller design is based on the resolution of a set of independent algebraic Ricatti equations. The global control law is obtained by a switching between local controllers. A simulation example is given to illustrate the efficiency of the proposed method.