Asynchronous filtering for linear switched systems with average dwell time

Bo Wang, Hongbin Zhang, Gang Wang and Chuangyin Dang

International Journal of Systems Science, 2016, vol. 47, issue 12, 2783-2791

Abstract: 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.

Date: 2016
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DOI: 10.1080/00207721.2015.1023758

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