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Evaluation and Attainment of Weighted Performance Measures in Descriptor Control Systems

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Ukrainian Mathematical Journal Aims and scope

We consider a class of linear descriptor control systems with bounded disturbances and establish a criterion and sufficient conditions for the existence of static controllers guaranteeing that the closed-loop system is admissible and satisfies the desired estimate for the weighted level of damping of the external and initial disturbances. We propose new methods for the synthesis of generalized state-feedback H∞-controllers that are reduced to the solution of linear matrix inequalities without additional constraints. In order to illustrate the accumulated results, we present an example of descriptor system used for the stabilization of electric circuits.

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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. 74, No. 7, pp. 980–990, July, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i7.7167.

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Mazko, A.G. Evaluation and Attainment of Weighted Performance Measures in Descriptor Control Systems. Ukr Math J 74, 1121–1133 (2022). https://doi.org/10.1007/s11253-022-02124-z

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  • DOI: https://doi.org/10.1007/s11253-022-02124-z

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