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

2008; Elsevier BV; Volume: 45; Issue: 2 Linguagem: Inglês

10.1016/j.automatica.2008.06.023

1873-2836

Ming Liu, Daniel W. C. Ho, Yugang Niu,

Control and Stability of Dynamical Systems

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.