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Chaos synchronization of the energy resource system

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  • Li, Xiuchun
  • Xu, Wei
  • Li, Ruihong

Abstract

This paper presents the chaos synchronization problem for new dynamical system (that is, energy resource demand–supply system), where the controller is designed using two different control methods. Firstly, based on stability criterion of linear system, chaotic synchronization is achieved with the help of the active theory, and accordingly, the simulation results are given for verifying the feasibility of the method. Secondly, based on Lyapunov stability theory, on the assumption that all the parameters of the system are unknown, adaptive control approach is proposed to make the states of two chaotic systems asymptotic synchronization. In the end, numerical simulations are used to show the effectiveness of the proposed control method.

Suggested Citation

  • Li, Xiuchun & Xu, Wei & Li, Ruihong, 2009. "Chaos synchronization of the energy resource system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 642-652.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:642-652
    DOI: 10.1016/j.chaos.2007.08.008
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    References listed on IDEAS

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    1. Sun, Mei & Tian, Lixin & Fu, Ying, 2007. "An energy resources demand–supply system and its dynamical analysis," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 168-180.
    2. Yassen, M.T., 2006. "Chaos control of chaotic dynamical systems using backstepping design," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 537-548.
    3. Cao, Jinde & Li, H.X. & Ho, Daniel W.C., 2005. "Synchronization criteria of Lur’e systems with time-delay feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1285-1298.
    4. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    5. Nazzal, Jamal M. & Natsheh, Ammar N., 2007. "Chaos control using sliding-mode theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 695-702.
    6. Sun, Mei & Tian, Lixin & Fu, Ying & Qian, Wei, 2007. "Dynamics and adaptive synchronization of the energy resource system," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 879-888.
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