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A multiple hierarchical structure strategy to quantized control of Markovian switching systems

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  • Wang, Bo
  • Cheng, Jun
  • Zhou, Xia

Abstract

This paper deals with the issue of nonstationary quantized control of Markovian switching systems. A more general networked Markovian switching system is exploited, where the randomly occurring PDs and a mode-dependent logarithmic quantizer are involved. Different from existing works, a novel nonstationary quantizer is introduced by utilizing a multiple hierarchical structure strategy. On the basis of mode-dependent Lyapunov functional, a sufficient condition is formulated and quantized controller gain is designed. In the end, the effectiveness of the theoretical results are proved by an automotive electronic throttle model.

Suggested Citation

  • Wang, Bo & Cheng, Jun & Zhou, Xia, 2020. "A multiple hierarchical structure strategy to quantized control of Markovian switching systems," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    • Handle: RePEc:eee:apmaco:v:373:y:2020:i:c:s0096300320300060
    DOI: 10.1016/j.amc.2020.125037
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    References listed on IDEAS

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    1. Bo Wang & L. L. Chen, 2018. "New Results on Fuzzy Synchronization for a Kind of Disturbed Memristive Chaotic System," Complexity, Hindawi, vol. 2018, pages 1-9, November.
    2. Shi, Kaibo & Wang, Jun & Zhong, Shouming & Zhang, Xiaojun & Liu, Yajuan & Cheng, Jun, 2019. "New reliable nonuniform sampling control for uncertain chaotic neural networks under Markov switching topologies," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 169-193.
    3. Cheng, Jun & Zhan, Yang, 2020. "Nonstationary l2−l∞ filtering for Markov switching repeated scalar nonlinear systems with randomly occurring nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    4. Xiong, Lianglin & Cheng, Jun & Cao, Jinde & Liu, Zixin, 2018. "Novel inequality with application to improve the stability criterion for dynamical systems with two additive time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 672-688.
    5. Ran, Suzhen & Xue, Yanmei & Zheng, Bo-Chao & Wang, Zhenyou, 2017. "Quantized feedback fuzzy sliding mode control design via memory-based strategy," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 283-295.
    6. Wang, Jing & Ru, Tingting & Xia, Jianwei & Wei, Yunliang & Wang, Zhen, 2019. "Finite-time synchronization for complex dynamic networks with semi-Markov switching topologies: An H∞ event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 235-251.
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    Cited by:

    1. Wu, Yuyan & Cheng, Jun & Zhou, Xia & Cao, Jinde & Luo, Mengzhuo, 2021. "Asynchronous filtering for nonhomogeneous Markov jumping systems with deception attacks," Applied Mathematics and Computation, Elsevier, vol. 394(C).

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