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Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy

Author

Listed:
  • Shih-Yu Li
  • Shi-An Chen
  • Chin-Teng Lin
  • Li-Wei Ko
  • Cheng-Hsiung Yang
  • Heng-Hui Chen

Abstract

A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple‐form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers. Three main contributions are concluded: (1) apply the bioinspired stability theory to further analyze the stability of fuzzy error systems; the high performance of controllers has been shown in previous study by Li and Ge 2009, (2) a new Lyapunov control function based on bioinspired stability theory is designed to achieve synchronization without using traditional LMI method, which is a simple linear homogeneous function of states and the process of designing controller to synchronize two fuzzy chaotic systems becomes much simpler, and (3) three different situations of synchronization are proposed; classical master and slave Lorenz systems, slave Chen’s system, and Rossler’s system as functional system are illustrated to further show the effectiveness and feasibility of our novel strategy. The simulation results show that our novel control strategy can be applied to different and complicated control situations with high effectiveness.

Suggested Citation

  • Shih-Yu Li & Shi-An Chen & Chin-Teng Lin & Li-Wei Ko & Cheng-Hsiung Yang & Heng-Hui Chen, 2015. "Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:725674
    DOI: 10.1155/2015/725674
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    References listed on IDEAS

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    1. Hongyan Yang & Huanqing Wang & Hamid Reza Karimi, 2014. "Robust Adaptive Neural Backstepping Control for a Class of Nonlinear Systems with Dynamic Uncertainties," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, July.
    2. Sendren Sheng-Dong Xu, 2014. "Super-Twisting-Algorithm-Based Terminal Sliding Mode Control for a Bioreactor System," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, May.
    3. Yanling Shang & Ye Yuan & Fushun Yuan, 2014. "Adaptive Output Feedback Stabilization of Nonholonomic Systems with Nonlinear Parameterization," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Hongyan Yang & Huanqing Wang & Hamid Reza Karimi, 2014. "Robust Adaptive Neural Backstepping Control for a Class of Nonlinear Systems with Dynamic Uncertainties," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. El-Gohary, Awad & Al-Ruzaiza, A.S., 2007. "Chaos and adaptive control in two prey, one predator system with nonlinear feedback," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 443-453.
    6. Yanling Shang & Ye Yuan & Fushun Yuan, 2014. "Adaptive Output Feedback Stabilization of Nonholonomic Systems with Nonlinear Parameterization," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, August.
    7. Xu Yang & Kai-xiang Peng & Chao-nan Tong, 2013. "Robust Backstepping Control for Cold Rolling Main Drive System with Nonlinear Uncertainties," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    8. Xu Yang & Kai-xiang Peng & Chao-nan Tong, 2013. "Robust Backstepping Control for Cold Rolling Main Drive System with Nonlinear Uncertainties," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, December.
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