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Weighted Damping of External and Initial Disturbances in Descriptor Control Systems

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Ukrainian Mathematical Journal Aims and scope

We study the problem of generalized H∞-control for a class of linear descriptor systems and suggest a criterion and sufficient conditions for the existence of the laws of control guaranteeing that the closedloop system is regular, stable, and impulse-free and satisfies the desired estimate for the weighted level of damping of the external and initial disturbances. The main computational procedures for the synthesis of controllers are reduced to the solution of linear and quadratic matrix inequalities without rank constraints. An example of robust stabilization of a hydraulic system with three vessels is presented.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    A. G. Mazko

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  1. A. G. Mazko
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Correspondence to A. G. Mazko.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 10, pp. 1377–1390, October, 2021. Ukrainian DOI: 10.37863/umzh.v73i10.6698.

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Mazko, A.G. Weighted Damping of External and Initial Disturbances in Descriptor Control Systems. Ukr Math J 73, 1590–1606 (2022). https://doi.org/10.1007/s11253-022-02016-2

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  • DOI: https://doi.org/10.1007/s11253-022-02016-2

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