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New results on T–S fuzzy sampled-data stabilization for switched chaotic systems with its applications

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  • Vadivel, R.
  • Sabarathinam, S.
  • Wu, Yongbao
  • Chaisena, Kantapon
  • Gunasekaran, Nallappan

Abstract

This study presents a T–S fuzzy-based sampled-data controller for switched chaotic systems. First, we designed the switched-based sampled-data fuzzy controller. Second, a novel time-dependent Lyapunov–Krasovskii functional (LKF) approach with the information of switching signals is proposed, which covers all information of the sampling interval and the time-delay information in the controller, improving the integral inequality, some sufficient conditions are established, which makes the proposed closed-loop system be exponentially stable. Subsequently, the derived conditions are formulated with respect to linear matrix inequalities (LMIs). Meanwhile, the corresponding sampled-data controller gains are designed under the larger sampling interval. Finally, the suggested T–S fuzzy sampled-data controller (TSFSD) is used to demonstrate the usefulness of the approaches in the Lorenz system, Chen system, and Lu system.

Suggested Citation

  • Vadivel, R. & Sabarathinam, S. & Wu, Yongbao & Chaisena, Kantapon & Gunasekaran, Nallappan, 2022. "New results on T–S fuzzy sampled-data stabilization for switched chaotic systems with its applications," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922009201
    DOI: 10.1016/j.chaos.2022.112741
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Controlling chaotic systems via nonlinear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1049-1054.
    2. Wang, Yuangan & Yu, Honglin, 2018. "Fuzzy synchronization of chaotic systems via intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 154-160.
    3. Park, Ju H., 2005. "On synchronization of unified chaotic systems via nonlinear Control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 699-704.
    4. Xia, Yude & Wang, Jing & Meng, Bo & Chen, Xiangyong, 2020. "Further results on fuzzy sampled-data stabilization of chaotic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    5. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    6. Hua Zhang & Heng Liu, 2021. "An Integral Sliding Mode Control of Uncertain Chaotic Systems via Disturbance Observer," Complexity, Hindawi, vol. 2021, pages 1-11, February.
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    Cited by:

    1. Ma, Yajing & Li, Zhanjie & Xie, Xiangpeng & Yue, Dong, 2023. "Adaptive consensus of uncertain switched nonlinear multi-agent systems under sensor deception attacks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Yang, Tianqing & Zou, Runmin & Liu, Fang & Liu, Cai & Sidorov, Denis, 2023. "Improved stabilization condition of delayed T-S fuzzy systems via an extended quadratic function negative-determination lemma," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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