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Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties

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Abstract

This paper solves the problem of robust synchronization of nonlinear chaotic gyrostat systems in a given finite time. The parameters of both master and slave chaotic gyrostat systems are assumed to be unknown in advance. In addition, the gyrostat systems are disturbed by unknown model uncertainties and external disturbances. Suitable update laws are proposed to estimate the unknown parameters. Based on the finite-time control idea and update laws, appropriate control laws are designed to ensure the stabilization of the closed-loop system in finite time. The precise value of the convergence time is given. A numerical simulation demonstrates the applicability and efficiency of the proposed finite-time synchronization strategy.

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Authors and Affiliations

  1. Electrical Engineering Department, Urmia University of Technology, Urmia, Iran

    Mohammad Pourmahmood Aghababa

  2. Department of Mathematics, University of Tabriz, Tabriz, Iran

    Hasan Pourmahmood Aghababa

  3. Research Center for Industrial Mathematics of University of Tabriz, Tabriz, Iran

    Hasan Pourmahmood Aghababa

Authors
  1. Mohammad Pourmahmood Aghababa
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  2. Hasan Pourmahmood Aghababa
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Correspondence to Mohammad Pourmahmood Aghababa.

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Aghababa, M.P., Aghababa, H.P. Synchronization of nonlinear chaotic electromechanical gyrostat systems with uncertainties. Nonlinear Dyn 67, 2689–2701 (2012). https://doi.org/10.1007/s11071-011-0181-5

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  • DOI: https://doi.org/10.1007/s11071-011-0181-5

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