Asynchronous H∞ control for discrete-time switched systems under state-dependent switching with dwell time constraint

This paper is concerned with the asynchronous H∞ control problem for a class of discrete-time switched systems under dwell time constraint. A state-dependent switching strategy that obeys a dwell time constraint is constructed by using an improved dwell-time dependent Lyapunov function (DTDLF). More incisively, this switching strategy not only makes the considered systems stable with a weighted l2-gain, but also allows the value of DTDLF to increase at the switching instant. Dwell-time dependent asynchronous H∞ controllers are designed by solving a set of linear matrix inequalities. It has been shown that the obtained results also facilitate the studies of stability, l2-gain analysis for discrete-time switched systems under zero control input and synchronous switching control, respectively. Finally, three simulation examples are provided to illustrate the effectiveness and potential of the proposed method.