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Avtomatika i Telemekhanika, 2020, Issue 6, Pages 47–61
DOI: https://doi.org/10.31857/S0005231020060049 (Mi at15330) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Nonlinear Systems

Optimization of bilinear control systems subjected to exogenous disturbances. III. Robust formulations

M. V. Khlebnikov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (220 kB) Citations (2)
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DOI: https://doi.org/10.31857/S0005231020060049
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.
Keywords: bilinear control systems, structured matrix uncertainty, exogenous bounded disturbances, linear feedback, ellipsoid of robust stabilizability, domain of robust stabilizability, linear matrix inequalities.
Funding agency Grant number
Russian Foundation for Basic Research 18-08-00140_а
This work was partially supported by the Russian Foundation for Basic Research, project no. 18-08-00140.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 28.08.2019
Revised: 20.10.2019
Accepted: 28.11.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 6, Pages 1003–1016
DOI: https://doi.org/10.1134/S0005117920060053
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Khlebnikov, “Optimization of bilinear control systems subjected to exogenous disturbances. III. Robust formulations”, Avtomat. i Telemekh., 2020, no. 6, 47–61; Autom. Remote Control, 81:6 (2020), 1003–1016
Citation in format AMSBIB
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