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Controlling chaos of the family of Rössler systems using sliding mode control

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  • Chang, Jen-Fuh
  • Hung, Meei-Ling
  • Yang, Yi-Sung
  • Liao, Teh-Lu
  • Yan, Jun-Juh

Abstract

This paper investigates the control of chaos for several classical chaotic Rössler type systems using the sliding mode control strategy. For an arbitrarily given equilibrium point of a Rössler system, we achieve global stabilizing for the equilibrium points. Particularly, a class of proportional–integral (PI) switching surface is introduced for determining the convergence rate. Six typical Rössler systems are studied and their simulation results are presented to demonstrate the effectiveness of the proposed control scheme.

Suggested Citation

  • Chang, Jen-Fuh & Hung, Meei-Ling & Yang, Yi-Sung & Liao, Teh-Lu & Yan, Jun-Juh, 2008. "Controlling chaos of the family of Rössler systems using sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 609-622.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:2:p:609-622
    DOI: 10.1016/j.chaos.2006.09.051
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    References listed on IDEAS

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    1. Wang, Jiang & Qiao, Guo-Dong & Deng, Bin, 2005. "Observer-based robust adaptive variable universe fuzzy control for chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1013-1032.
    2. Yang, Yu & Ma, Xi-Kui & Zhang, Hao, 2006. "Synchronization and parameter identification of high-dimensional discrete chaotic systems via parametric adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 244-251.
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    Cited by:

    1. Dadras, Sara & Momeni, Hamid Reza, 2009. "Control uncertain Genesio–Tesi chaotic system: Adaptive sliding mode approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3140-3146.
    2. Dadras, Sara & Momeni, Hamid Reza & Majd, Vahid Johari, 2009. "Sliding mode control for uncertain new chaotic dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1857-1862.
    3. Uğur Erkin Kocamaz & Alper Göksu & Harun Taşkın & Yılmaz Uyaroğlu, 2021. "Control of chaotic two-predator one-prey model with single state control signals," Journal of Intelligent Manufacturing, Springer, vol. 32(6), pages 1563-1572, August.
    4. Huang, Yuanyuan & Wang, Yinhe & Chen, Haoguang & Zhang, Siying, 2016. "Shape synchronization control for three-dimensional chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 136-145.
    5. Wei, Zhouchao & Akgul, Akif & Kocamaz, Uğur Erkin & Moroz, Irene & Zhang, Wei, 2018. "Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 157-168.

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