An improved Lyapunov function based stability analysis method for fuzzy logic control systems

Abstract

Many existing stability analysis methods for fuzzy logic control systems like TS fuzzy model based methods usually tackle plants that are linear with respect to control. This paper proposes an improved method which does not have such restriction. The proposed method employs a Lyapunov function to prove the stability of the non-linear fuzzy logic control system. An illustrative example will be given to demonstrate the ability of the method. The plant in this example has a control signal function composed of piecewise linear functions, saturation functions and a deadband.