For a class of linear descriptor systems, we establish new criteria for the existence of the regularities of control guaranteeing the asymptotic stability and satisfying the required estimate for the weighted level of decay of bounded disturbances. We propose a procedure of generalized H∞-optimization of the descriptor systems with controlled and observed outputs. The main computational procedures of the suggested algorithm are reduced to the solution of linear and quadratic matrix inequalities with additional rank constraints. We also present an example of descriptor control system intended for the stabilization of an electric circuit.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 11, pp. 1510–1523, November, 2020. Ukrainian DOI: 10.37863/umzh.v72i11.2389.
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Mazko, A.G. Weighted Estimation and Reduction of the Influence of Bounded Perturbations in Descriptor Control Systems. Ukr Math J 72, 1742–1757 (2021). https://doi.org/10.1007/s11253-021-01885-3
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DOI: https://doi.org/10.1007/s11253-021-01885-3