Finite-time output feedback control for discrete-time switched linear systems with mode-dependent persistent dwell-time

This paper is concerned with finite-time output feedback control for a class of discrete-time switched linear systems. The mode-dependent persistent dwell-time (MDPDT) switching is considered, which is more general than dwell-time switching and average dwell-time switching. By using the MDPDT approach and multiple Lyapunov functions technique, sufficient conditions are proposed so that the closed-loop system is finite-time bounded with a guaranteed H∞ performance. Furthermore, the corresponding criterion is proposed to design a set of dynamic output feedback (DOF) controllers for the switched system. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.