Asynchronous H_∞ filtering for linear switched systems with average dwell time

This paper is concerned with the H_∞ filtering problem for a class of continuous-time linear switched systems with the asynchronous behaviours, where asynchronous means that the switching of the filters to be designed has a lag to the switching of the system modes. By using the Lyapunov-like functions and the average dwell time technique, a sufficient condition is obtained to guarantee the asymptotic stability with a weighted H_∞ performance index for the filtering error system. Moreover, the results are formulated in the form of linear matrix inequalities that are numerical feasible. As a result, the filter design problem is solved. Finally, an illustrative numerical example is presented to show the effectiveness of the results.