Asynchronous Estimator Design for Switched Systems with Overlapped Detection Delay

In this paper, the problem of asynchronous state estimate is investigated for a class of slowly switching system with time-varying overlapped detection delay. The switching signal satisfies average dwell time switching. The newly proposed overlapped detection delay allows a detection delay to begin before the end of one or more previous detection delays. The term asynchronous refers to the situation that the implemented estimator can be unmatched with the active subsystem (a subsystem is also called a mode of the switched system). A maximum total running time of the unmatched estimator is provided to ensure stability of the considered estimate error system. With such a limitation, asynchronous estimator is designed such that the final estimate error system is globally uniformly exponentially stable for certain average dwell time switching signal. A numerical example is provided to illustrate the effectiveness of the designed estimator and how the selected parameters affect the allowable total running time of the unmatched estimator.