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Criterion of Stability of a Linear System with One Harmonic Time-Varying Coefficient Based on a Formalized Filter Hypothesis

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Cyber-Physical Systems and Control (CPS&C 2019)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 95))

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Abstract

Stability criterion for a linear time-varying (LTV) system with one harmonic time-varying coefficient in feedback is suggested. The found criterion is based on the hypothesis that the linear time-invariant (LTI) part of the system is a low-frequency filter. The criterion is simple and suitable for calculation of stability borders for LTV systems. The suggested criterion is compared with a numerical experiment, Bonjiorno criterion, stationarization method.

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Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia

    Anton Mandrik

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  1. Anton Mandrik
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Correspondence to Anton Mandrik .

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Editors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia

    Dmitry G. Arseniev

  2. Institute of Transport and Automation Technology, Leibniz Universität Hannover, Garbsen, Niedersachsen, Germany

    Ludger Overmeyer

  3. Machine Vision and Pattern Recognition Laboratory, Lappeenranta University of Technology, Lappeenranta, Finland

    Heikki Kälviäinen

  4. Institute of Production Engineering and Photonic Technologies, Vienna University of Technology, Vienna, Austria

    Branko Katalinić

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Mandrik, A. (2020). Criterion of Stability of a Linear System with One Harmonic Time-Varying Coefficient Based on a Formalized Filter Hypothesis. In: Arseniev, D., Overmeyer, L., Kälviäinen, H., Katalinić, B. (eds) Cyber-Physical Systems and Control. CPS&C 2019. Lecture Notes in Networks and Systems, vol 95. Springer, Cham. https://doi.org/10.1007/978-3-030-34983-7_43

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  • DOI: https://doi.org/10.1007/978-3-030-34983-7_43

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-34982-0

  • Online ISBN: 978-3-030-34983-7

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