Stability Analysis Results Concerning the Fuzzy Control of a Class of Nonlinear Time-Varying Systems

Abstract

The paper offers new stability results concerning the Takagi-Sugeno (T-S) fuzzy control systems dedicated to a class of Single Input-Single Output (SISO) nonlinear time-varying systems. Lyapunov's approach based on quadratic positive definite Lyapunov function candidates is emplyed to derive a sufficient uniform asymptotic stability condition. An illustrative example validates the stability analysis results by the design of a T-S fuzzy control system for a SISO nonlinear process.

Keywords: Lyapunov function candidates, nonlinear time-varying systems, Takagi-Sugeno fuzzy control systems, uniform asymptotic stability.

2000 MSC: 93C42, 93C10, 37M05.