Adaptive Synchronization of Chaotic Genesio–Tesi Systems Via A Nonlinear Control

  • Authors

    • Esmat Sadat Alaviyan Shahri
    2018-09-07
    https://doi.org/10.14419/ijet.v7i3.19.17002
  • .
  • The paper presents the stabilization and adaptive synchronization problem of a class of chaotic systems (Genesio–Tesi system) with three unknown parameters. A novel nonlinear control effort is proposed and an adaptive strategy is presented in order to the states of two Genesio–Tesi systems were asymptotically synchronized. The known Lyapunov method guarantees the presented stability analysis and design. An illustrative simulation result is given to demonstrate the effectiveness of the proposed chaos synchronization scheme.

  • References

    1. [1] Strogatz, S.H, Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering, CRC Press, 2018.

      [2] Azar, A.T., Vaidyanathan, S. eds, Advances in chaos theory and intelligent control, Springer, 2016.

      [3] Yassen, M.T, "Chaos synchronization between two different chaotic systems using active control," Chaos, Solitons & Fractals, pp. 131-140, 2005.

      [4] Ouannas, A., Odibat, Z., Shawagfeh, N., Alsaedi, A. Ahmad, B., "Universal chaos synchronization control laws for general quadratic discrete systems," Applied Mathematical Modelling, vol. 45, pp. 636-641, 2017.

      [5] Alaviyan Shahri, E.S., Alfi, A. and Tenreiro Machado, J.A., "Stability analysis of a class of nonlinear fractionalâ€order systems under control input saturation," International Journal of Robust and Nonlinear Control, vol. 28, no. 7, pp. 2887-2905, 2018.

      [6] Rabah K., Ladaci S., Lashab M., "State feedback with fractional PIλDμ control structure for Genesio-Tesi chaos stabilization," in 16th international conference on Sciences and Techniques of Automatic control & computer engineering, Monastir, Tunisia, 2015.

      [7] Chen, M. Han, Z, " Controlling and synchronizing chaotic Genesio system via nonlinear feedback control," Chaos, Solitons & Fractals, vol. 17, no. 4, pp. 709-716, 2003.

      [8] Huang, L., Feng, R. and Wang, M., "Synchronization of chaotic systems via nonlinear control.," Physics Letters A, vol. 320, no. 4, pp. 271-275, 2004.

      [9] Gao, S. , Wang, Y., Dong, H. , Ning, B., Wang, H., "Controlling uncertain Genesio–Tesi chaotic system using adaptive," Chaos, Solitons and Fractals Nonlinear Science, and Nonequilibrium and Complex Phenomena, vol. 105, p. 180–188, 2017.

      [10] Ouannas, A., Odibat, Z., Shawagfeh, N., Alsaedi, A. and Ahmad, B., " Universal chaos synchronization control laws for general quadratic discrete systems," Applied Mathematical Modelling, pp. 636-641, 2017.

      [11] Gao, S., Wang, Y., Dong, H., Ning, B. and Wang, H., "Controlling uncertain Genesio–Tesi chaotic system using adaptive dynamic surface and nonlinear feedback," Chaos, Solitons & Fractals, vol. 105, pp. 180-188, 2017.

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  • How to Cite

    Sadat Alaviyan Shahri, E. (2018). Adaptive Synchronization of Chaotic Genesio–Tesi Systems Via A Nonlinear Control. International Journal of Engineering & Technology, 7(3.19), 136-139. https://doi.org/10.14419/ijet.v7i3.19.17002