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Optimization of Bilinear Control Systems Subjected to Exogenous Disturbances. III. Robust Formulations

  • Nonlinear Systems
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Abstract

In this paper, design problems are considered for bilinear control systems subjected to arbitrary-but-bounded exogenous disturbances and containing structured matrix uncertainty. We formulate and solve the problem of efficient construction of robust stabilizability ellipsoids and the domain of robust stabilizability of bilinear systems, both in continuous and discrete time; the basic tool is the linear matrix inequality technique.

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Funding

This work was partially supported by the Russian Foundation for Basic Research, project no. 18-08-00140.

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Authors and Affiliations

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

    M. V. Khlebnikov

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  1. M. V. Khlebnikov
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Correspondence to M. V. Khlebnikov.

Additional information

This paper was recommended for publication by L.B. Rapoport, a member of the Editorial Board

Russian Text © The Author(s), 2020, published in Avtomatika i Telemekhanika, 2020, No. 6, pp. 47–61.

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Khlebnikov, M.V. Optimization of Bilinear Control Systems Subjected to Exogenous Disturbances. III. Robust Formulations. Autom Remote Control 81, 1003–1016 (2020). https://doi.org/10.1134/S0005117920060053

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  • DOI: https://doi.org/10.1134/S0005117920060053

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