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Control of nuclear spin generator system based on passive control

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  • Kemih, Karim

Abstract

Nuclear spin generator (NSG) is a high-frequency oscillator which generates and controls the oscillations of the motion of a nuclear magnetization vector in a magnetic field. This system exhibits a large variety of chaotic behaviors and displays much richer structures. So it is “a better archetypal system than the Lorenz system”. Based on the property of passive system, the essential conditions were studied; by which nuclear spin generator system could be equivalent to passive system. Using Lyapunov stability theory, the convergence condition deciding the system’s characters was discussed. In the convergence condition area, the equivalent passive system could be globally asymptotically stabilized by smooth state feedback. Simulation results are provided to show the effectiveness of the proposed control method.

Suggested Citation

  • Kemih, Karim, 2009. "Control of nuclear spin generator system based on passive control," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1897-1901.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1897-1901
    DOI: 10.1016/j.chaos.2008.07.042
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    References listed on IDEAS

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    1. Molaei, M.R. & Umut, Ömür, 2008. "Generalized synchronization of nuclear spin generator system," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 227-232.
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    Cited by:

    1. Takhi, Hocine & Kemih, Karim & Moysis, Lazaros & Volos, Christos, 2021. "Passivity based sliding mode control and synchronization of a perturbed uncertain unified chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 150-169.
    2. Arbid, Mahmoud & Teffahi, Abdelkader & Boukabou, Abdelkrim & Bounar, Amel, 2023. "Predictive-based control of complex dynamic networks," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Ahmad, Israr, 2021. "A Lyapunov-based direct adaptive controller for the suppression and synchronization of a perturbed nuclear spin generator chaotic system," Applied Mathematics and Computation, Elsevier, vol. 395(C).

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