Asynchronous H∞ fuzzy control for a class of switched nonlinear systems via switching fuzzy Lyapunov function approach

This paper addresses the problem of H-infinity control for a class of continuous-time switched nonlinear systems via switching fuzzy Lyapunov functions (FLFs). The asynchronous switching is also considered in this paper, where "asynchronous" means that the switching of the controllers to be designed has a lag to the switching of the system models. The Takagi-Sugeno (T-S) fuzzy model is used here to approximate each nonlinear subsystem of the switched nonlinear systems. By using mode-dependent average dwell time (MDADT) techniques, we obtain stability conditions for the open-loop switched nonlinear systems and stabilization conditions with H-infinity performance for the closed-loop switched nonlinear systems. The desired H. controller can be constructed by solving a set of linear matrix inequalities (LMIs). Finally, two numerical examples illustrate the utility and advantage of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.