Title
Stabilization of Markovian jump linear system over networks with random communication delay
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.
Year
DOI
Venue
2009
10.1016/j.automatica.2008.06.023
Automatica
Keywords
Field
DocType
Markovian parameters,Stabilization,Networked control systems,Network-induced delays
Markov process,Iterative method,Networked control system,Control theory,Markov model,Mode (statistics),Markov chain,Linear matrix inequality,Mathematics,Jump process
Journal
Volume
Issue
ISSN
45
2
0005-1098
Citations 
PageRank 
References 
67
2.35
7
Authors
3
Name
Order
Citations
PageRank
Ming Liu196340.79
Daniel W.C. Ho25311285.38
Yugang Niu3138896.56