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Output feedback H∞ control for discrete time singularly perturbed systems with Markov lossy network: The round-robin-like protocol case

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  • Hu, Yue
  • Kwon, Oh-Min
  • Cai, Chenxiao
  • Kim, Yeong-Jae

Abstract

In this paper, the output feedback H∞ control is investigated for the networked singularly perturbed systems (SPSs) with Markov lossy network, in which the packet loss probability varies in different modes. A new network mode-dependent round-robin-like protocol (RRLP) is introduced to the networked SPSs, which can dynamically adjust the number of the selected sensor nodes according to the network environment condition. Based on this RRLP and Markov lossy network, a Markov mode and scheduling order co-dependent output feedback controller is constructed to ensure the system control performance. By constructing a novel Lyapunov-Krasovskii functional dependent on the singular perturbation parameter, Markov mode, and scheduling order simultaneously, sufficient conditions of mean square stability for SPSs are obtained, and numerical stiffness is avoided. Finally, a direct current motor-controlled inverted pendulum example is proposed to verify the effectiveness of our main results.

Suggested Citation

  • Hu, Yue & Kwon, Oh-Min & Cai, Chenxiao & Kim, Yeong-Jae, 2024. "Output feedback H∞ control for discrete time singularly perturbed systems with Markov lossy network: The round-robin-like protocol case," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    • Handle: RePEc:eee:apmaco:v:462:y:2024:i:c:s0096300323005076
    DOI: 10.1016/j.amc.2023.128338
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    References listed on IDEAS

    as
    1. Cai, Xiao & Shi, Kaibo & She, Kun & Zhong, Shouming & Kwon, Ohmin & Tang, Yiqian, 2022. "Voluntary defense strategy and quantized sample-data control for T-S fuzzy networked control systems with stochastic cyber-attacks and its application," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    2. Shao, Hanyong & Zhang, Zhengqiang, 2015. "Delay-dependent state feedback stabilization for a networked control model with two additive input delays," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 748-758.
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