LMI-based tracking control for Takagi-Sugeno fuzzy model

Abstract

Mohamed Amine.BEN BRAHIM LA.R.A Laboratory National Engineering School of Tunis Tunis,Tunisia [email protected] C.GHORBEL, A.ABDELKRIM and M.BENREJEB LA.R.A Laboratory National Engineering School of Tunis Tunis,Tunisia [email protected] [email protected] [email protected] Abstract — This present paper deals with the problem of control for Takagi-Sugeno fuzzy model. Based on the quadratic Lyapunov function, an LMI (Linear Matrix Inequality) formulation is suggested to make possible the convergence of the state vector of the discrete-time system to the origin. A first application addresses the inverted pendulum fourth-order unstable system that is modeled by the fuzzy Takagi-Sugeno approach. A second application is a fourth order unstable nonlinear complex system which is studied to illustrate the efficiency of th e LMI formulation. Keywords-Multimodel,fuzzyTakagi-Sugeno,LMI approach, inverted pendulum I. iI