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Chaos synchronization and chaotization of complex chaotic systems in series form by optimal control

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  • Ge, Zheng-Ming
  • Yang, Cheng-Hsiung

Abstract

By the method of quadratic optimum control, a quadratic optimal regulator is used for synchronizing two complex chaotic systems in series form. By this method the least error with less control energy is achieved, and the optimization on both energy and error is realized synthetically. The simulation results of two Quantum-CNN chaos systems in series form prove the effectiveness of this method. Finally, chaotization of the system is given by optimal control.

Suggested Citation

  • Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Chaos synchronization and chaotization of complex chaotic systems in series form by optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 994-1002.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:994-1002
    DOI: 10.1016/j.chaos.2009.02.026
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    References listed on IDEAS

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    1. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2007. "Synchronization of complex chaotic systems in series expansion form," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1649-1658.
    2. Park, Ju H., 2005. "Stability criterion for synchronization of linearly coupled unified chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1319-1325.
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    4. Yu, Yongguang & Zhang, Suochun, 2005. "Global synchronization of three coupled chaotic systems with ring connection," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1233-1242.
    5. El-Gohary, Awad, 2005. "Optimal control of rigid body motion with the help of rotors using stereographic coordinates," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1229-1244.
    6. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2008. "The generalized synchronization of a Quantum-CNN chaotic oscillator with different order systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 980-990.
    7. Park, Ju H., 2005. "Adaptive synchronization of Rossler system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 333-338.
    8. Elabbasy, E.M. & Agiza, H.N. & El-Dessoky, M.M., 2006. "Adaptive synchronization of a hyperchaotic system with uncertain parameter," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1133-1142.
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    Cited by:

    1. Zhang, Xuxi & Liu, Xianping & Zhu, Qidan, 2014. "Adaptive chatter free sliding mode control for a class of uncertain chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 431-435.
    2. 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).

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