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Fuzzy synchronization of chaotic systems via intermittent control

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  • Wang, Yuangan
  • Yu, Honglin

Abstract

In this paper, a fuzzy method is combined with intermittent control method to realize synchronization of chaotic system. Two plant rules of intermittent control are considered to get two theorems. Fuzzy scheme for synchronization is proposed in theorem. Finally, a simulation example is proposed to verify the effectiveness of our results.

Suggested Citation

  • Wang, Yuangan & Yu, Honglin, 2018. "Fuzzy synchronization of chaotic systems via intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 154-160.
    • Handle: RePEc:eee:chsofr:v:106:y:2018:i:c:p:154-160
    DOI: 10.1016/j.chaos.2017.11.024
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    References listed on IDEAS

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    1. Zhang, Xiaohong & Khadra, Anmar & Li, Dong & Yang, Dan, 2009. "Impulsive stability of chaotic systems represented by T-S model," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1863-1869.
    2. Yuangan Wang, 2012. "Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-9, June.
    3. Zhang, Xingpeng & Li, Dong & Zhang, Xiaohong, 2017. "Adaptive fuzzy impulsive synchronization of chaotic systems with random parameters," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 77-83.
    4. Wang, Xun & Disney, Stephen M. & Wang, Jing, 2012. "Stability analysis of constrained inventory systems with transportation delay," European Journal of Operational Research, Elsevier, vol. 223(1), pages 86-95.
    5. Yuangan Wang & Honglin Yu & Xiaohong Zhang & Dong Li, 2012. "Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-16, February.
    6. Li, Dong & Yang, Dan & Wang, Hui & Zhang, Xiaohong & Wang, Shilong, 2009. "Asymptotical stability of multi-delayed cellular neural networks with impulsive effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 218-224.
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    Citations

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    Cited by:

    1. Sweetha, S. & Sakthivel, R. & Harshavarthini, S., 2021. "Finite-time synchronization of nonlinear fractional chaotic systems with stochastic actuator faults," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Kun Li & Rongfeng Li & Longzhou Cao & Yuming Feng & Babatunde Oluwaseun Onasanya, 2023. "Periodically Intermittent Control of Memristor-Based Hyper-Chaotic Bao-like System," Mathematics, MDPI, vol. 11(5), pages 1-17, March.
    3. Zhenyu Zhu & Zhanshan Zhao & Haoliang Cui & Fengdong Shi, 2019. "Improved T-S Fuzzy Control for Uncertain Time-Delay Coronary Artery System," Complexity, Hindawi, vol. 2019, pages 1-11, May.
    4. Peng, Shuo & Wang, Qingzhi & Fu, Baozeng, 2022. "Exponential stabilization of chaotic systems based on fuzzy time-triggered intermittent control," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    5. 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).

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