Title :
Output feedback robust H∞ control of uncertain fuzzy dynamic systems with time-varying delay
Author :
Lee, Kap Rai ; Kim, Jong Hae ; Jeung, Eun Tae ; Park, Hong Bae
Author_Institution :
Dept. of Comput. Appl. Contro, Doowon Tech. Coll., Gyonggi, South Korea
fDate :
12/1/2000 12:00:00 AM
Abstract :
This paper presents an output feedback robust H∞ 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∞ controllers are given in terms of matrix inequalities. Constructive algorithm for design of robust H ∞ controller is also developed. The resulting controller is nonlinear and automatically tuned based on fuzzy operation
Keywords :
H∞ control; Lyapunov methods; asymptotic stability; control system synthesis; delay systems; feedback; fuzzy control; nonlinear systems; robust control; time-varying systems; uncertain systems; H∞ control; Lyapunov function; Takagi-Sugeno model; delay systems; disturbance attenuation; exponential stability; fuzzy dynamic systems; matrix inequalities; nonlinear systems; output feedback; robust control; time-varying systems; uncertain systems; Automatic control; Control systems; Delay systems; Fuzzy control; Fuzzy systems; Nonlinear dynamical systems; Output feedback; Robust control; Robustness; Time varying systems;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
