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Digital Stabilization of a Switched Linear System with Commensurate Delays

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Abstract

An approach to the construction of a digital controller that stabilizes a continuous-time switched linear system with commensurate delays in control is proposed. The approach to stabilization sequentially includes the construction of a switched continuous-discrete closed system with a digital controller, the transition to its discrete model represented as a switched system with modes of various orders, and the construction of a discrete dynamic controller based on the quadratic stability condition for a closed switched discrete-time system.

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Funding

This work was supported by the Ministry of Science and Higher Education of the Russian Federation as part of the program of the Moscow Center for Fundamental and Applied Mathematics, agreement no. 075-15-2019-1621.

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Authors and Affiliations

  1. Hangzhou Dianzi University, Hangzhou, People’s Republic of China

    A. V. Ilin & A. S. Fursov

  2. Moscow Center for Fundamental and Applied Mathematics, Moscow State University, Moscow, Russia

    A. V. Ilin & A. S. Fursov

  3. Federal Research Center “Computer Science and Control,” Russian Academy of Sciences, Moscow, Russia

    A. V. Ilin

Authors
  1. A. V. Ilin
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  2. A. S. Fursov
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Correspondence to A. V. Ilin or A. S. Fursov.

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The authors of this work declare that they have no conflicts of interest.

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Translated by I. Ruzanova

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Ilin, A.V., Fursov, A.S. Digital Stabilization of a Switched Linear System with Commensurate Delays. Dokl. Math. 108, 493–498 (2023). https://doi.org/10.1134/S1064562423701442

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  • DOI: https://doi.org/10.1134/S1064562423701442

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