Journal
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
Volume 37, Issue 4, Pages 1523-1541Publisher
SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-017-0622-6
Keywords
Networked control systems (NCSs); Markovian jump linear systems (MJLSs); Random delay; Robust finite-time stochastic stabilization; Linear matrix inequalities (LMIs)
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The problems of robust finite-time stochastic stability and stabilization of uncertain networked control systems (NCSs) in the presence of random delays are considered in this paper. First, network-induced random delays are modeled as a Markov chain, and the resulting closed-loop system is transformed into a Markovian jump linear system (MJLS). Since the accurate access to the transition probabilities (TPs) is hard or even impossible, some of the elements in the transition probability matrix (TPM) are considered as unknown parameters. Based on this model, the sufficient conditions for the robust finite-time stochastic stability and stabilization of the uncertain NCS are proposed. Moreover, a new linear matrix inequality (LMI) approach is employed to calculate the static output-feedback controllers. Additionally, the results of the proposed scheme are verified by two examples and simulations, which include a practical example.
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