Guaranteed cost control of linear uncertain fuzzy systems with time delay: an LMI approach

This paper deals with the problem of finding the robust fuzzy controller to achieve the robust stability with guaranteed cost for a class of uncertain time-delay systems. Based on the Takagi-Sugeno fuzzy model, the robust stability condition is derived to ensure the robust quadratic stability of the system by applying Lyapunov functional approach and the upper bound of considered cost is found. Moreover, a fuzzy controller is developed to stabilize the uncertain system and the guaranteed cost function is get. In addition, the effectiveness of the proposed design method is demonstrated by a numerical example.