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Predictive control and synchronization of chaotic and hyperchaotic systems based on a T–S fuzzy model

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  • Senouci, Abdelkader
  • Boukabou, Abdelkrim

Abstract

This paper presents fuzzy model-based design for control and synchronization of chaotic systems. In this framework, the chaotic systems are exactly reproduced based on a Takagi–Sugeno (T–S) fuzzy model. Then the fuzzy controllers for control and synchronization are designed using the predictive method and some new and useful criteria are derived. Finally, numerical simulations are presented to illustrate the effectiveness and feasibility of the theoretical results.

Suggested Citation

  • Senouci, Abdelkader & Boukabou, Abdelkrim, 2014. "Predictive control and synchronization of chaotic and hyperchaotic systems based on a T–S fuzzy model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 105(C), pages 62-78.
    • Handle: RePEc:eee:matcom:v:105:y:2014:i:c:p:62-78
    DOI: 10.1016/j.matcom.2014.05.007
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    References listed on IDEAS

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    1. Boukabou, Abdelkrim & Mekircha, Naim, 2012. "Generalized chaos control and synchronization by nonlinear high-order approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(11), pages 2268-2281.
    2. Zhang, Hongbin & Liao, Xiaofeng & Yu, Juebang, 2005. "Fuzzy modeling and synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 835-843.
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    Cited by:

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    2. Bhuvaneshwari, G. & Prakash, M. & Rakkiyappan, R. & Manivannan, A., 2023. "Stability and stabilization analysis of T-S fuzzy systems with distributed time-delay using state-feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 778-793.
    3. Messadi, M. & Mellit, A., 2017. "Control of chaos in an induction motor system with LMI predictive control and experimental circuit validation," Chaos, Solitons & Fractals, Elsevier, vol. 97(C), pages 51-58.
    4. Lu, Ke & Du, Pingping & Cao, Jinde & Zou, Qiming & He, Tianjia & Huang, Wei, 2019. "A novel traffic signal split approach based on Explicit Model Predictive Control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 105-114.
    5. Visakamoorthi, B. & Muthukumar, P., 2022. "Fuzzy sampled-data control for single-master multi-slave teleoperation systems with stochastic actuator faults," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 198(C), pages 375-387.
    6. Runzi Luo & Jiaojiao Fu & Haipeng Su, 2019. "The Exponential Stabilization of a Class of n-D Chaotic Systems via the Exact Solution Method," Complexity, Hindawi, vol. 2019, pages 1-7, May.
    7. Vafamand, Navid & Khorshidi, Shapour & Khayatian, Alireza, 2018. "Secure communication for non-ideal channel via robust TS fuzzy observer-based hyperchaotic synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 116-124.

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