Output feedback robust H-infinity control of uncertain fuzzy dynamic systems with time-varying delay

This paper presents an output feedback robust H-infinity control problem fo r a class of uncertain fuzzy dynamic systems with time-varying delayed stat e. The Takagi-Sugeno (TS) fuzzy model Is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single quadrati c Lyapunov function, the globally exponential stability and disturance atte nuation of the closed-loop fuzzy control system are discussed. Sufficient c onditions for the existence of robust H-infinity controllers are given in t erms of matrix inequalities. Constructive algorithm for design of robust H- infinity controller is also developed. The resulting controller is nonlinea r and automatically tuned based on fuzzy operation.