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Fradkov Theorem-Based Control of MIMO Nonlinear Lurie Systems

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Abstract

Consideration was given to the problem of adaptive output control of the class of MIMO (Multiple Input Multiple Output) systems that are functionally and parametrically uncertain. An approach to the design of the control law ensuring stabilization of the MIMO nonlinear Lurie system, that is, a system consisting of the linear part (strictly minimum-phase unit) and nonlinear static feedback unit, was proposed on the basis of the Fradkov theorem on feedback passification of linear systems.

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Authors and Affiliations

  1. Hangzhou Dianzi University, Hangzhou, China

    A. A. Pyrkin

  2. ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia

    A. A. Pyrkin, S. V. Aranovskiy, A. A. Bobtsov, S. A. Kolyubin & N. A. Nikolaev

  3. CentraleSupélec—IETR, Cesson-Sévigné, France

    S. V. Aranovskiy

  4. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    A. A. Bobtsov

Authors
  1. A. A. Pyrkin
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  2. S. V. Aranovskiy
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  3. A. A. Bobtsov
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  4. S. A. Kolyubin
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  5. N. A. Nikolaev
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Correspondence to A. A. Pyrkin.

Additional information

Original Russian Text © A.A. Pyrkin, S.V. Aranovskiy, A.A. Bobtsov, S.A. Kolyubin, N.A. Nikolaev, 2018, published in Avtomatika i Telemekhanika, 2018, No. 6, pp. 140–154.

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Pyrkin, A.A., Aranovskiy, S.V., Bobtsov, A.A. et al. Fradkov Theorem-Based Control of MIMO Nonlinear Lurie Systems. Autom Remote Control 79, 1074–1085 (2018). https://doi.org/10.1134/S0005117918060073

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  • DOI: https://doi.org/10.1134/S0005117918060073

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