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Observer-based passive control of non-homogeneous Markov jump systems with random communication delays

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  • Yun Chen
  • Zhangping Chen
  • Zhenyu Chen
  • Anke Xue

Abstract

This paper focuses on the passive control problem for Markov jump systems with piecewise-constant transition rates, random nonlinearities and random communication delays. An observer is used to obtain the system state, and communication delay with probabilistic distribution is considered. The probabilistic properties of the nonlinear perturbations and communication delays are described by two mutually independent Bernoulli sequences. Based on average dwell time method and Lyapunov stability theory, a sufficient stochastic passivity condition is presented. By singular value decomposition technique the gain matrices can be computed via strict linear matrix inequalities, and the desired controller guarantees the stochastic passivity of the closed-loop augmented system. The effectiveness of the method is illustrated by a numerical example.

Suggested Citation

  • Yun Chen & Zhangping Chen & Zhenyu Chen & Anke Xue, 2020. "Observer-based passive control of non-homogeneous Markov jump systems with random communication delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(6), pages 1133-1147, April.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:6:p:1133-1147
    DOI: 10.1080/00207721.2020.1752844
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    Cited by:

    1. Li, Qiang & Liang, Jinling, 2022. "Non-fragile asynchronous state estimation for Markovian switching CVNs with partly accessible mode detection: The discrete-time case," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    2. Nguyen, Ngoc Hoai An & Kim, Sung Hyun, 2021. "Asynchronous H∞ observer-based control synthesis of nonhomogeneous Markovian jump systems with generalized incomplete transition rates," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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