Switching control for a class of discrete-time switched fuzzy systems

In this paper, a new stabilization criterion for discrete-time switched fuzzy (DTSF) systems is proposed. DTSF system, which differs from existing ones, can often more precisely describe continuous dynamics and discrete dynamics as well as their interactions in complex real-world systems. In the beginning, the operation state space of every switched subsystem for this class of systems is divided into several subregions, and then, the interactions among the switched subsystem in each subregion S_ir are presented by one matrix X_ir. So the feasible solutions of the inequalities in the criteria are much easier to be found. In other words, the criteria are much more relaxed than the existing criteria proposed in other literature. Moreover switching techniques are used to derive the criteria, some subsystems are allowed to be unstable. Finally, the elaborated illustrative examples and the respective simulation experiments demonstrate the effectiveness of the proposed method.