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Robust Finite-Time Stabilization for Networked Control Systems via Static Output-Feedback Control: Markovian Jump Systems Approach

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Abstract

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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Authors and Affiliations

  1. Department of Control Engineering, School of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Iran

    Mohsen Bahreini & Jafar Zarei

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  1. Mohsen Bahreini
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  2. Jafar Zarei
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Correspondence to Jafar Zarei.

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Bahreini, M., Zarei, J. Robust Finite-Time Stabilization for Networked Control Systems via Static Output-Feedback Control: Markovian Jump Systems Approach. Circuits Syst Signal Process 37, 1523–1541 (2018). https://doi.org/10.1007/s00034-017-0622-6

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  • DOI: https://doi.org/10.1007/s00034-017-0622-6

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