H−/H∞ asynchronous fault detection filter design for switched systems with time-varying delays

The problem of asynchronous fault detection filter design for time-varying delays switched system is considered in the framework of mixed H
_-
/H
_∞
. H
_-
performance represents the sensitivity index of residual to fault and H
_∞
performance is the robustness indicator of residual to disturbance. First of all, multiple Lyapunov-Krasovskii functions and average dwell time approach are used for deriving the preliminary results of asynchronous filter design. Then the couple between Lyapunov matrix and system matrix is removed by the the slack variables, and less conservative results are obtained. All of results are in the form of linear matrix inequalities. Finally, a simulation example is given to verify the efficacy of the proposed method.