Dwell-time-dependent asynchronous H∞ filtering for discrete-time switched systems with missing measurements

This paper investigates the asynchronous H∞ filtering problem for discrete-time switched systems under dwell time constraint and missing measurements. Based on the proposed dwell-time-dependent Lyapunov function (DTDLF) technique, a novel switching strategy consisting of a time-dependent mechanism and a state-dependent switching mechanism is constructed, such that the resultant filtering error systems are exponentially mean square stable with a weighted l2-gain performance. In addition, the value of the DTDLF is allowed to increase at both the unmatched interval and switching instants. The desired dwell-time-dependent asynchronous H∞ filter is designed in forms of linear matrix inequalities. More incisively, the proposed method is also applicable to switched systems with unstable subsystems. Finally, three simulation examples are provided to illustrate the effectiveness and potential of the developed results.