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Nonlinear dynamic analysis and sliding mode control for a gyroscope system

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Abstract

This paper employs differential transformation (DT) method to analyze and control the dynamic behavior of a gyroscope system. The analytical results reveal a complex dynamic behavior comprising periodic, subharmonic, quasiperiodic, and chaotic responses of the center of gravity. Furthermore, the results reveal the changes which take place in the dynamic behavior of the gyroscope system as the external force is increased. The current analytical results by DT method are found to be in good agreement with those of Runge–Kutta (RK) method. In order to suppress the chaotic behavior in gyroscope system, the sliding mode controller (SMC) is used and guaranteed the stability of the system from chaotic motion to periodic motion. Numerical simulations are shown to verify the results. The proposed DT method and controlling scheme provide an effective means of gaining insights into the nonlinear dynamics and controlling of gyroscope systems.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Far East University, Sinshih, Taiwan

    Cheng-Chi Wang

  2. Department of Electrical Engineering, National Chin-Yi University of Technology, Taiping City, Taiwan

    Her-Terng Yau

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  1. Cheng-Chi Wang
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  2. Her-Terng Yau
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Correspondence to Cheng-Chi Wang.

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NSC PROJECT: NSC 99-2221-E-269-008.

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Wang, CC., Yau, HT. Nonlinear dynamic analysis and sliding mode control for a gyroscope system. Nonlinear Dyn 66, 53–65 (2011). https://doi.org/10.1007/s11071-010-9910-4

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  • DOI: https://doi.org/10.1007/s11071-010-9910-4

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