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Fuzzy-model-based output feedback control for nonlinear singularly perturbed systems with time-scale-dependent decode-and-forward relay strategy

Author

Listed:
  • Guo, Chaoqun
  • Hu, Yue
  • Kwon, Oh-Min
  • Zhao, Jianrong
  • Lee, Seung-Hoon

Abstract

This paper focuses on the output feedback control problem for fuzzy singularly perturbed systems (SPSs) with packet dropouts. Three Bernoulli random variables are introduced to describe the packet loss behaviors of different network channels between sensors and controllers. A time-scale-dependent decode-and-forward (TSDDaF) relay scheme is proposed to improve the remote transmission of the fuzzy SPSs, in which the slow and fast measurement signal can be decoded and reconstructed separately according to the different time scales. The key results of this article can be summarized in two aspects: (1) Firstly, by exploiting the received slow and fast signals from both the relays and sensors via different channels, a TSDDaF relay-based composite fuzzy output feedback controller is designed, under which the control performance of fuzzy SPSs can be effectively improved. (2) Secondly, by establishing a singular perturbation parameter-dependent Lyapunov functional, the sufficient conditions for exponentially ultimately boundedness (EUB) in mean square sense can be obtained and the numerical stiffness problem can be avoided. The feasibility of our approach is illustrated through a flexible joint inverted pendulum example.

Suggested Citation

  • Guo, Chaoqun & Hu, Yue & Kwon, Oh-Min & Zhao, Jianrong & Lee, Seung-Hoon, 2026. "Fuzzy-model-based output feedback control for nonlinear singularly perturbed systems with time-scale-dependent decode-and-forward relay strategy," Applied Mathematics and Computation, Elsevier, vol. 514(C).
    • Handle: RePEc:eee:apmaco:v:514:y:2026:i:c:s0096300325005478
    DOI: 10.1016/j.amc.2025.129822
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    References listed on IDEAS

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    1. Zhang, Pengcheng & Liu, Yajuan & Jiao, Shiyu & Yang, Chen, 2025. "Observer-based non-fragile control for T-S fuzzy switched systems against cyber attacks: A double-layer PDT switching method," Applied Mathematics and Computation, Elsevier, vol. 495(C).
    2. Wei Zhang & Zhuoheng Yang & Hao Wang & Yonghao Zhao, 2025. "Dynamic output feedback model predictive control for polytopic uncertain systems under decode and forward cooperative relay protocol," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(6), pages 1240-1255, April.
    3. Hu, Yue & Cai, Chenxiao & Lee, SeungHoon & Lee, YongGwon & Kwon, Oh-Min, 2023. "New results on H∞ control for interval type-2 fuzzy singularly perturbed systems with fading channel: The weighted try-once-discard protocol case," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    4. Xia, Pei-Zhen & Chang, Xiao-Heng, 2025. "Observer-based security control for nonlinear networked systems: The SCP model of semi-Markov kernel approach," Applied Mathematics and Computation, Elsevier, vol. 498(C).
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