Abstract:

A fuzzy adaptive H_∞ control method is proposed for the stability of time-varying delayed systems with nonlinear function and external disturbance parts. An adaptive fully tuned T-S fuzzy model is designed to estimate the nonlinear function vector. The H_∞ controller is used to attenuate the approximation error and external disturbance. Based on the Lyapunov functional theory and linear matrix inequality techniques, the proposed method could be obtained by solving the matrix inequality to guarantee the stability of the closed loop system and satisfy the requirement of design. A numerical example and flight control system simulation of the hypersonic aerospace vehicle are given to illustrate the effectiveness of the presented method.