Stability of a class of uncertain fuzzy systems based on fuzzy control switching

Abstract

A switching control strategy is presented for a class of uncertain fuzzy systems. Firstly, a class of uncertain fuzzy systems is given, and in this class model the switching parallel distributed compensation controller is introduced. The single Lyapunov function and multiple Lyapunov function methods are adopted to establish the stability results for this class of fuzzy systems. Moreover, sufficient conditions for asymptotic stability are presented and stabilizing switching laws of state-dependent form are designed. A simulation using a cart-pole inverted pendulum system demonstrates the feasibility and the effectiveness of the proposed method.