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Quantized output feedback control for nonlinear Markovian jump distributed parameter systems with unreliable communication links

Author

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  • Song, Xiaona
  • Wang, Mi
  • Song, Shuai
  • Wang, Zhen

Abstract

This paper investigates robust quantized output feedback control of nonlinear Markovian jump distributed parameter systems (MJDPSs) with incomplete transition rates. Considering the digital communication channel in practical applications, the data of measured output and control input is quantized before transmission, by mode-dependent quantizer. Furthermore, a randomly occurring communication fault phenomenon is noticed in stability analysis, and is described by Bernoulli distributed white sequences. Based on Takagi–Sugeno (T-S) fuzzy model and dynamic parallel distributed compensate principle, a novel output feedback controller is developed. The conditions, to ensure that the MJDPSs are stochastically stable with mixed L2−L∞/H∞ performance, are given in terms of linear matrix inequalities (LMIs), and controller gains can be obtained by LMI toolbox. Finally, an example is provided to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Song, Xiaona & Wang, Mi & Song, Shuai & Wang, Zhen, 2019. "Quantized output feedback control for nonlinear Markovian jump distributed parameter systems with unreliable communication links," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 371-395.
    • Handle: RePEc:eee:apmaco:v:353:y:2019:i:c:p:371-395
    DOI: 10.1016/j.amc.2019.01.067
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    References listed on IDEAS

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    1. Cheng-Dong Yang & Jianlong Qiu & Jun-Wei Wang, 2014. "Robust Control for a Class of Nonlinear Distributed Parameter Systems via Proportional-Spatial Derivative Control Approach," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, January.
    2. Li, Lingchun & Shen, Mouquan & Zhang, Guangming & Yan, Shen, 2017. "H∞ control of Markov jump systems with time-varying delay and incomplete transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 95-106.
    3. Shen, Mouquan & Ye, Dan, 2017. "A finite frequency approach to control of Markov jump linear systems with incomplete transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 53-64.
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    Cited by:

    1. Nguyen, Khanh Hieu & Kim, Sung Hyun, 2020. "Observer-based control design of semi-Markovian jump systems with uncertain probability intensities and mode-transition-dependent sojourn-time distribution," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    2. Song, Xiaona & Wang, Mi & Song, Shuai & Wang, Zhen, 2021. "Observer-based sliding mode control for stochastic hyperbolic PDE systems with quantized output signal," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    3. Khanh Hieu Nguyen & Sung Hyun Kim, 2022. "Event-Triggered Non-PDC Filter Design of Fuzzy Markovian Jump Systems under Mismatch Phenomena," Mathematics, MDPI, vol. 10(16), pages 1-25, August.

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