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Upper Bounds on Large Deviations in Linear Systems in the Presence of Uncertainty

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Abstract

We considered linear dynamical systems subjected to the uncertainty in its matrix. Using the linear matrix inequality technique, upper bounds on the deviations in linear dynamical systems were obtained; also, the problem of minimization of deviations in linear control systems by means of a linear static state feedback was analyzed. The results of numerical simulations testified to a low conservatism of the obtained estimates.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    Ya. I. Kvinto & M. V. Khlebnikov

Authors
  1. Ya. I. Kvinto
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  2. M. V. Khlebnikov
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Correspondence to Ya. I. Kvinto or M. V. Khlebnikov.

Additional information

Russian Text © The Author(s), 2018, published in Problemy Upravleniya, 2018, No. 3, pp. 2–7.

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Kvinto, Y.I., Khlebnikov, M.V. Upper Bounds on Large Deviations in Linear Systems in the Presence of Uncertainty. Autom Remote Control 80, 927–935 (2019). https://doi.org/10.1134/S0005117919050102

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  • DOI: https://doi.org/10.1134/S0005117919050102

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