A fuzzy Lyapunov approach for constrained T-S fuzzy systems design
约束T-S模糊系统设计的模糊Lyapunov方法

A class of discrete-time T-S fuzzy systems subject to input saturation is studied by introducing a fuzzy Lyapunov function. A sufficient condition that ensures the stability at the system origin is derived; and the domain of attraction may be enlarged by applying a fuzzy anti-windup compensator to the considered system. This method avoids the difficulty in seeking a common positive-definite matrix P satisfying all fuzzy rules of this system. Moreover, an iterative optimization algorithm for obtaining the anti-windup compensator gain is given.