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New results on H∞ control for interval type-2 fuzzy singularly perturbed systems with fading channel: The weighted try-once-discard protocol case

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  • Hu, Yue
  • Cai, Chenxiao
  • Lee, SeungHoon
  • Lee, YongGwon
  • Kwon, Oh-Min

Abstract

This article deals with the interval type-2 (IT2) fuzzy model-based H∞ control problem for networked singularly perturbed systems (SPSs) under fading channel. To prevent data collision, a weighted try-once-discard (WTOD) communication scheme is adopted to adjust the communication sequence of sensor nodes. Based on this transmission strategy, only one sensor with more considerable difference is allowed to be transmitted at each time instant. On the other hand, a time-varying stochastic process model is introduced to describe the behavior of the fading channels in unreliable networks. Based on fading state signal and known bounds, the imperfectly matched membership functions (MFs) are reconstructed in the controller. Accordingly, under the effect of fading channels and WTOD protocol, a new IT2 fuzzy controller is constructed for the networked IT2 fuzzy SPSs. Meanwhile, by constructing a singular perturbation parameter (SPP) dependent Lyapunov function, sufficient conditions are established to guarantee the mean square stability of networked IT2 fuzzy SPSs, and the numerical stiffness issue is avoided. Finally, the practicability of the proposed methods is proved through a tunnel diode circuit simulation.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:448:y:2023:i:c:s009630032300108x
    DOI: 10.1016/j.amc.2023.127939
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    References listed on IDEAS

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    1. Kavikumar, R. & Kwon, O.M. & Sakthivel, R. & Lee, S.H. & Choi, S.G. & Priyanka, S., 2022. "Sliding mode control for IT2 fuzzy semi-Markov systems with faults and disturbances," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    2. Song, Jia-Sheng & Chang, Xiao-Heng, 2020. "H∞ controller design of networked control systems with a new quantization structure," Applied Mathematics and Computation, Elsevier, vol. 376(C).
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