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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 178–186 (Mi timm1125)  

This article is cited in 2 scientific papers (total in 2 papers)

Control of a family of nonlinear dynamic systems under measurements with bounded disturbances

V. M. Kuntsevich

Institute of Space Research, National Academy of Sciences and National Space Agency
Full-text PDF (163 kB) Citations (2)
References:
Abstract: We consider a control synthesis problem for nonlinear dynamic systems under parametric uncertainty and bounded measurement noises. Because of bounded disturbances in measurements of the state vector and the nonlinearity in the control object, the initially formulated control synthesis problem for a family of nonlinear systems as a generalized Zubov problem is transformed into a symbiosis of generalized Zubov–Bulgakov problems. The main result of the paper is the analytic solution of a minimax synthesis problem, which yields a constructive method for finding an invariant set.
Keywords: control, uncertainty, Lyapunov functions, bounded disturbances, robust stability, invariant sets.
Received: 10.07.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 292, Issue 1, Pages 173–181
DOI: https://doi.org/10.1134/S0081543816020140
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: V. M. Kuntsevich, “Control of a family of nonlinear dynamic systems under measurements with bounded disturbances”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 178–186; Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 173–181
Citation in format AMSBIB
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\pages 178--186
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages 173--181
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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