Hybrid control for a class of discrete-time fuzzy systems based on arbitrary switching

The mathematical modeling of fuzzy system is researched by means of T-S model. The hybrid control theory is quoted to research the discrete fuzzy systems, and the stability of the fuzzy system is analyzed by Lyapunov function, and the sufficient conditions for the control design method and the stability of the system are obtained. By using the switching law design, the closed-loop system is asymptotically stable, and finally the global asymptotic stability is achieved. In addition, even if only one controller can stabilize the system, this switching strategy can also improve the system performance. Finally, a numerical example is given to demonstrate the effectiveness and convergence of the proposed method.