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Avtomatika i Telemekhanika, 2017, Issue 4, Pages 3–20 (Mi at14409)  
This article is cited in 9 scientific papers (total in 9 papers)

Nonlinear Systems

Attraction domain estimate for single-input affine systems with constrained control

A. V. Pesterev

Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (969 kB) Citations (9)
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Abstract: Nonlinear single-input affine systems represented in a canonical (normal) form are considered. The control resource is assumed to be constrained. For a closed-loop system obtained by applying a linearizing feedback, the problem of finding an estimate of the attraction domain is set. A method for constructing an ellipsoidal estimate that is based on results of absolute stability theory is suggested. Construction of the estimate reduces to solving a system of linear matrix inequalities. The discussion is illustrated by numerical examples.
Keywords: nonlinear affine systems, constrained control, attraction domain, absolute stability theory, linear matrix inequalities (LMIs).
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations I.31
This work was supported by Program I.31 of the Presidium of Russian Academy of Sciences, Section “Actual Problems of Robotics”.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 30.03.2016
English version:
Automation and Remote Control, 2017, Volume 78, Issue 4, Pages 581–594
DOI: https://doi.org/10.1134/S0005117917040014
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Pesterev, “Attraction domain estimate for single-input affine systems with constrained control”, Avtomat. i Telemekh., 2017, no. 4, 3–20; Autom. Remote Control, 78:4 (2017), 581–594
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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