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Reduced-order adaptive control design for the stabilization and synchronization of a class of nonlinear chaotic systems

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  • Xiao, Jiang-Wen
  • Gao, Jiexuan
  • Huang, Yuehua
  • Wang, Yan-Wu

Abstract

Strategies to design reduced-order adaptive controllers using only part of the system states for the stabilization of one chaotic system and the synchronization of two chaotic systems are proposed for a general class of chaotic systems. Compared with those existed results, the adaptive controllers presented in this paper can globally exponentially stabilize the chaotic systems and can globally exponentially synchronize the two chaotic systems under certain conditions, and therefore can improve the convergence rate of the control processes. Simulation results also verify the effectiveness of the proposed control schemes.

Suggested Citation

  • Xiao, Jiang-Wen & Gao, Jiexuan & Huang, Yuehua & Wang, Yan-Wu, 2009. "Reduced-order adaptive control design for the stabilization and synchronization of a class of nonlinear chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1156-1162.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1156-1162
    DOI: 10.1016/j.chaos.2009.03.005
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    References listed on IDEAS

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    1. Vasegh, Nastaran & Majd, Vahid Johari, 2009. "Fuzzy model-based adaptive synchronization of time-delayed chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1484-1492.
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    3. Salarieh, Hassan & Shahrokhi, Mohammad, 2008. "Adaptive synchronization of two different chaotic systems with time varying unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 125-136.
    4. Uçar, Ahmet & Lonngren, Karl E. & Bai, Er-Wei, 2006. "Synchronization of the unified chaotic systems via active control," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1292-1297.
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