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Fuzzy Modelling and Chaos Control in the Photogravitational Magnetic Binary Problem With Potential From a Belt

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  • Mohd Arif

    (Zakir Husain Delhi College, Delhi University, India)

Abstract

Control of chaotic systems has led to many fruitful results, such as the famous OGY and feedback control. Of course, controlling chaos is not limited to the approaches above and is not specifically reviewed one by one here. The representation of chaotic systems using fuzzy models has a unified approach. The fuzzy logic controllers had been proposed for a long time and were successfully applied to control the chaos in many systems. The main purpose of this study is to presents the new fuzzy model for the photogravitational magnetic-binary problem (PMBP) where the bigger primary is a source of radiation and the smaller primary is an oblate body; and they are encompassed by a homogeneous circular cluster of material points centred at the mass centre of the system (belt). It was shown that using a new fuzzy controller, it is possible to control of chaotic behaviour of the photogravitational magnetic-binary problem (PMBP). The simulation results have demonstrated that the proposed method can satisfy the control object and enhanced stability.

Suggested Citation

  • Mohd Arif, 2020. "Fuzzy Modelling and Chaos Control in the Photogravitational Magnetic Binary Problem With Potential From a Belt," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 9(3), pages 26-39, July.
    • Handle: RePEc:igg:jsda00:v:9:y:2020:i:3:p:26-39
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    Cited by:

    1. Jaffar Seyyed Esmaeili & Abdullah Başçi, 2021. "Design and Implementation of LMI-Based H2 Control for Vertical Nonlinear Coupled-Tank System," International Journal of System Dynamics Applications (IJSDA), IGI Global, vol. 10(4), pages 1-16, October.

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