Passivity-based output feedback control of Markovian jump systems with discrete and distributed time-varying delays

Hamid Karimi

International Journal of Systems Science, 2013, vol. 44, issue 7, 1290-1300

Abstract: In this article, we present a new method in designing mode-dependent passivity-based output feedback controllers for Markovian jump systems with time-varying delays. Both discrete and distributed delays are considered in the model. A Lyapunov–Krasovskii function is constructed to establish new required sufficient conditions for ensuring exponentially mean-square stability and the passivity criteria, simultaneously. The method produces linear matrix inequality formulation that allows obtaining controller gains based on a convex optimisation method. Finally, a numerical example is given to illustrate the effectiveness of our approach.

Date: 2013
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DOI: 10.1080/00207721.2012.659714

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