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Controlling chaotic systems via nonlinear feedback control

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  • Park, Ju H.

Abstract

In this article, a new method to control chaotic systems is proposed. Using Lyapunov method, we design a nonlinear feedback controller to make the controlled system be stabilized. A numerical example is given to illuminate the design procedure and advantage of the result derived.

Suggested Citation

  • Park, Ju H., 2005. "Controlling chaotic systems via nonlinear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1049-1054.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:3:p:1049-1054
    DOI: 10.1016/j.chaos.2004.06.016
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    Cited by:

    1. Tarai (Poria), Anindita & Poria, Swarup & Chatterjee, Prasanta, 2009. "Synchronization of generalised linearly bidirectionally coupled unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 885-892.
    2. Yu, Yongguang, 2008. "Adaptive synchronization of a unified chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 329-333.
    3. Hamede Karami & Saleh Mobayen & Marzieh Lashkari & Farhad Bayat & Arthur Chang, 2021. "LMI-Observer-Based Stabilizer for Chaotic Systems in the Existence of a Nonlinear Function and Perturbation," Mathematics, MDPI, vol. 9(10), pages 1-15, May.
    4. Kakmeni, F.M. Moukam & Nguenang, J.P. & Kofané, T.C., 2006. "Chaos synchronization in bi-axial magnets modeled by Bloch equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 690-699.
    5. Park, Ju H., 2005. "On synchronization of unified chaotic systems via nonlinear Control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 699-704.
    6. Park, Ju H., 2006. "Chaos synchronization of nonlinear Bloch equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 357-361.
    7. Huang, Cheng-Sea & Lian, Kuang-Yow & Su, Chien-Hsing & Wu, Jinn-Wen, 2008. "Stabilization at almost arbitrary points for chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 452-459.
    8. Baishya, Chandrali & Premakumari, R.N. & Samei, Mohammad Esmael & Naik, Manisha Krishna, 2023. "Chaos control of fractional order nonlinear Bloch equation by utilizing sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    9. Lam, H.K., 2009. "Output-feedback synchronization of chaotic systems based on sum-of-squares approach," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2624-2629.
    10. Mitul Islam & Bipul Islam & Nurul Islam, 2013. "Rate Estimation of Identical Synchronization by Designing Controllers," Journal of Mathematics, Hindawi, vol. 2013, pages 1-8, May.
    11. Guo, C.X. & Jiang, Q.Y. & Cao, Y.J., 2007. "Controlling chaotic oscillations via nonlinear observer approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 1014-1019.
    12. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    13. Vadivel, R. & Sabarathinam, S. & Wu, Yongbao & Chaisena, Kantapon & Gunasekaran, Nallappan, 2022. "New results on T–S fuzzy sampled-data stabilization for switched chaotic systems with its applications," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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