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. The paper proposes a 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 is 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.
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