Hybrid robust adaptive control for a class of uncertain fuzzy systems with time-varying delay

This paper studies robust adaptive control for a class of uncertain T-S fuzzy systems with time-varying delay by using controller switching technique. Based on the switching Lyapunov function and parallel distributed compensation principle (PDC), sufficient conditions for the existence of the switching fuzzy controller are derived when the time-delay is precisely known via memory state control strategy. An adaptive switching fuzzy controller is designed to guarantee the stability of the systems when the time-delay is unavailable, in which the controller parameter is tuned in a switching manner. And these results can be formulated in the form of a set of linear matrix inequalities (LMIs).