A Switching Controller for Nonlinear Systems via Fuzzy Models

Abstract

A Lyapunov based switching control design method for non linear systems using fuzzy models is proposed. The switching controller consists of several linear state feedback controllers; only one of the linear controllers is employed at each moment according to a switching scheme. The gains of the linear state feedback controllers are derived based on Lyapunov stability theory. The fuzzy design model is represented as a set of uncertain linear subsystems and then sufficiency conditions for the system to be globally stabilisable by the switching controller are given. The proposed design method is illustrated trough numerical simulations on the chaotic Lorenz system.