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Time-delay identification for vibration systems with multiple feedback

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Abstract

An approach for time-delay identification is proposed in multiple-degree-of-freedom (MDOF) linear systems with multiple feedback. The applicability of the approach is discussed in detail. Based on the characteristics of frequency domain in feedback controlled system with multiple time-delays, this paper proposes a time-delay identification approach, which is based on the pseudo impedance function of reference point. Treating feedback time-delays as the “frequencies” of the oscillation curve, the time-delays can be obtained from the “frequencies” of the curve. Numerical simulation is conducted to validate the proposed approach. The application scope of the approach is discussed with regard to different forms of feedback.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant 11272235).

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    Yi-Qiang Sun, Meng-Shi Jin, Han-Wen Song & Jian Xu

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  1. Yi-Qiang Sun
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  2. Meng-Shi Jin
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  3. Han-Wen Song
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  4. Jian Xu
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Correspondence to Han-Wen Song.

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Sun, YQ., Jin, MS., Song, HW. et al. Time-delay identification for vibration systems with multiple feedback. Acta Mech. Sin. 32, 1138–1148 (2016). https://doi.org/10.1007/s10409-016-0575-1

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  • DOI: https://doi.org/10.1007/s10409-016-0575-1

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