Output feedback robust H/sup /spl infin/#x221E;/ control of uncertain fuzzy dynamic systems with time-varying delay

Abstract

This paper presents an output feedback robust H/sup /spl infin// control problem for a class of uncertain fuzzy dynamic systems with time-varying delayed state. The Takagi-Sugeno fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single quadratic Lyapunov function, the globally exponential stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust H/sup /spl infin// controllers are given in terms of matrix inequalities. Constructive algorithm for design of robust H/sup /spl infin// controller is also developed. The resulting controller is nonlinear and automatically tuned based on fuzzy operation.