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A non-singleton type-3 neuro-fuzzy fixed-time synchronizing method

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  • Taghavifar, Hamid
  • Mohammadzadeh, Ardashir
  • Zhang, Chunwei

Abstract

This paper presents a synchronizing approach to chaotic systems with unknown nonlinear dynamics using a Gaussian non-singleton type-3 (NT3) fuzzy logic system (T3-FLS). The proposed method effectively addresses the challenges of parameter uncertainties and external disturbances by utilizing higher-order fuzzy approximations, thereby enhancing robustness and adaptability. By incorporating a projection operator, the control scenario ensures stability. The design includes a fixed-time adaptive synchronization technique that guarantees convergence in a predetermined time frame, independent of the initial values. The presented theoretical analysis proves the superiority of the designed synchronization approach, while simulations demonstrate significant improvements in synchronization performance and resilience against uncertainties. Specifically, the proposed method achieves root mean square errors of 0.1990 and 0.2754 for the tracking errors, representing improvements over 30% compared to the other benchmarking methods. These outcomes demonstrate the robustness of our proposed controller in handling chaotic systems under various operating conditions.

Suggested Citation

  • Taghavifar, Hamid & Mohammadzadeh, Ardashir & Zhang, Chunwei, 2024. "A non-singleton type-3 neuro-fuzzy fixed-time synchronizing method," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    • Handle: RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924012232
    DOI: 10.1016/j.chaos.2024.115671
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    1. Sharafian, Amin & Ullah, Inam & Singh, Sushil Kumar & Ali, Ahmad & Khan, Habib & Bai, Xiaoshan, 2024. "Adaptive fuzzy backstepping secure control for incommensurate fractional order cyber–physical power systems under intermittent denial of service attacks," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    2. Yao, Qijia, 2021. "Neural adaptive learning synchronization of second-order uncertain chaotic systems with prescribed performance guarantees," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Su, Haipeng & Luo, Runzi & Huang, Meichun & Fu, Jiaojiao, 2022. "Practical fixed time active control scheme for synchronization of a class of chaotic neural systems with external disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    4. Guo, Pengteng & Shi, Qiqing & Jian, Zeng & Zhang, Jing & Ding, Qun & Yan, Wenhao, 2024. "An intelligent controller of homo-structured chaotic systems under noisy conditions and applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    5. Wang, Shasha & Jian, Jigui, 2023. "Predefined-time synchronization of incommensurate fractional-order competitive neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Shi, Jinyao & Zhou, Peipei & Cai, Shuiming, 2024. "On fixed-time interlayer synchronization of two-layer multiweighted complex dynamic networks: An economic and practical non-chattering adaptive control approach," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    7. Zhao, Tingting & Hu, Cheng & Huang, Jie & Yu, Juan, 2024. "Fixed/Prescribed-time synchronization of multi-layer complex networks under switching control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    8. Cheng, Guifang & Liu, Hao, 2024. "Asynchronous finite-time extended dissipative sliding mode control for semi-Markovian jump master–slave neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    9. Yao, Qijia, 2021. "Synchronization of second-order chaotic systems with uncertainties and disturbances using fixed-time adaptive sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    10. He, Xinyi & Wang, Yuhan & Li, Xiaodi, 2021. "Uncertain impulsive control for leader-following synchronization of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    11. Lin, Tsung-Chih & Lee, Tun-Yuan & Balas, Valentina E., 2011. "Adaptive fuzzy sliding mode control for synchronization of uncertain fractional order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 791-801.
    12. Zhong, Mei & Huang, Chengdai & Cao, Jinde & Liu, Heng, 2024. "Adaptive fuzzy echo state network optimal synchronization control of hybrid–order chaotic systems via reinforcement learning," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    13. Liu, Bin & Zhou, Yiming & Jiang, Min & Zhang, Zengke, 2009. "Synchronizing chaotic systems using control based on tridiagonal structure," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2274-2281.
    14. Mobayen, Saleh & Ma, Jun, 2018. "Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 46-54.
    15. Hou, Meng & He, Qiushi & Ma, Yuechao, 2024. "Quantized adaptive practical fixed-time synchronization of stochastic complex networks with actuator faults," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
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