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Avtomatika i Telemekhanika, 2018, Issue 7, Pages 41–58 (Mi at15107)  
This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear Systems

An algorithm to control nonlinear systems in perturbations and measurement noise

I. B. Furtatab

a Institute of Problems of Mechanical Engineering Russian Academy of Sciences (IPME RAS), St. Petersburg, Russia
b ITMO University (National Research University of Information Technologies, Mechanics and Optics), St. Petersburg, Russia
Full-text PDF (2038 kB) Citations (4)
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Abstract: An algorithm was proposed to stabilize nonlinear systems with reduced level of impact of the measurement noise, parametric uncertainty, and external perturbation. Consideration was given to the noise of the measurements of dimensionality coinciding with that of the plant state vector. The parametric uncertainty and external perturbations can occur in any equation of the plant model. Conditions were obtained to calculate algorithm parameters in the form of solvability of the linear matrix inequality. Efficiency of the proposed scheme was illustrated by numerical examples.
Keywords: nonlinear system, compensation, perturbation, noise, $S$-procedure, linear matrix inequality.
Funding agency Grant number
Russian Foundation for Basic Research 17-08-01266
Russian Science Foundation 14-29-00142
Ministry of Education and Science of the Russian Federation 074-U01
14.Z50.31.0031
Russian Academy of Sciences - Federal Agency for Scientific Organizations 30
The results of Section 3 were supported by the Russian Foundation for Basic Research, project no. 17-08-01266. The results of Section 4 were supported by the Russian Scientific Foundation, project no. 14-29-00142, at the Institute of Problems of Science of Machines, Russian Academy of Sciences, St. Petersburg, Russia. Other results were supported by the leading universities of Russian Federation (subsidy 074-U01), Ministry for Education and Science of Russian Federation, project no. 14.Z50.31.0031, and Program no. 30 of the Presidium of Russian Academy of Sciences.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 16.05.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 7, Pages 1207–1221
DOI: https://doi.org/10.1134/S0005117918070032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. B. Furtat, “An algorithm to control nonlinear systems in perturbations and measurement noise”, Avtomat. i Telemekh., 2018, no. 7, 41–58; Autom. Remote Control, 79:7 (2018), 1207–1221
Citation in format AMSBIB
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\paper An algorithm to control nonlinear systems in perturbations and measurement noise
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\pages 41--58
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\jour Autom. Remote Control
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\pages 1207--1221
\crossref{https://doi.org/10.1134/S0005117918070032}
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  • https://www.mathnet.ru/eng/at/y2018/i7/p41
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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