Brief paper: Stabilization of Markovian jump linear system over networks with random communication delay

Authors:
Ming Liu;Daniel W. C. Ho;Yugang Niu
Affiliations:
Department of Mathematics, City University of Hong Kong, Hong Kong, China;Department of Mathematics, City University of Hong Kong, Hong Kong, China;School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, China
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

This paper is concerned with the stabilization problem for a networked control system with Markovian characterization. We consider the case that the random communication delays exist both in the system state and in the mode signal which are modeled as a Markov chain. The resulting closed-loop system is modeled as a Markovian jump linear system with two jumping parameters, and a necessary and sufficient condition on the existence of stabilizing controllers is established. An iterative linear matrix inequality (LMI) approach is employed to calculate a mode-dependent solution. Finally, a numerical example is given to illustrate the effectiveness of the proposed design method.