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

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Original languageEnglish
Pages (from-to)2783-2791
Journal / PublicationInternational Journal of Systems Science
Issue number12
Publication statusPublished - 9 Sep 2016


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.

Research Area(s)

  • Asymptotic stability, Asynchronous switching, Average dwell time, H ∞ H8 filtering