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Chaotic synchronization via adaptive sliding mode observers subject to input nonlinearity

Author

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  • Lin, Jui-Sheng
  • Yan, Jun-Juh
  • Liao, Teh-Lu

Abstract

This paper is concerned with the state reconstruction of nonlinear chaotic systems with uncertainty having unknown bounds. An adaptive output feedback sliding mode observer (AOFSMO) is established from the available output measurement. Unlike most works we further consider the presence of input nonlinearity due to physical limitations and no restrictive assumption is imposed on the system. Thus, the range of applicability of the proposed method becomes broad. Finally, a hyperchaotic Rössler system is used as an illustrative example to demonstrate the effectiveness of the proposed AOFSMO design method.

Suggested Citation

  • Lin, Jui-Sheng & Yan, Jun-Juh & Liao, Teh-Lu, 2005. "Chaotic synchronization via adaptive sliding mode observers subject to input nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 371-381.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:371-381
    DOI: 10.1016/j.chaos.2004.09.042
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    Citations

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    Cited by:

    1. Lien, Chang-Hua, 2007. "H∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 428-436.
    2. Zhao, Yang & Wang, Wei, 2009. "Chaos synchronization in a Josephson junction system via active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 60-66.
    3. Tavazoei, Mohammad Saleh & Haeri, Mohammad, 2008. "Synchronization of chaotic fractional-order systems via active sliding mode controller," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 57-70.
    4. Wu, Xiaofeng & Cai, Jianping & Wang, Muhong, 2008. "Global chaos synchronization of the parametrically excited Duffing oscillators by linear state error feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 121-128.
    5. Haeri, Mohammad & Tavazoei, Mohammad Saleh & Naseh, Majid Reza, 2007. "Synchronization of uncertain chaotic systems using active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1230-1239.
    6. Naseh, Majid Reza & Haeri, Mohammad, 2009. "Robustness and robust stability of the active sliding mode synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 196-203.
    7. Haeri, Mohammad & Emadzadeh, Amir Abbas, 2007. "Synchronizing different chaotic systems using active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 119-129.
    8. Zhao, Yang, 2009. "Synchronization of two coupled systems of J-J type using active sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3035-3041.
    9. Lien, Chang-Hua & Cheng, Wen-Chin & Tsai, Che-Hung & Yu, Ker-Wei, 2007. "Non-fragile observer-based controls of linear system via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1530-1537.
    10. Tavazoei, Mohammad Saleh & Haeri, Mohammad, 2007. "Determination of active sliding mode controller parameters in synchronizing different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 583-591.
    11. Ge, Zheng-Ming & Chen, Yen-Sheng, 2005. "Adaptive synchronization of unidirectional and mutual coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 881-888.

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