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Avtomat. i Telemekh., 2012, Issue 8, Pages 35–48 (Mi at4049)  

This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear Systems

Synchronization of nonlinear Lurie systems on the basis of passification and backstepping

E. V. Usik

St. Petersburg State University, St. Petersburg, Russia

Abstract: The problems of passification and synchronization of nonlinear systems are solved with the aid of the backstepping method for cascade systems of the Lurie type with functional uncertainty. Estimates of the errors caused by bounded disturbances and controller discreteness are given. The stated theorem is extended to the case of net systems. The obtained results are applied to the synchronization problem of movement of two mobile wheeled robots and are illustrated by way of computational modeling.

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English version:
Automation and Remote Control, 2012, 73:8, 1305–1315

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Presented by the member of Editorial Board: А. Л. Фрадков

Received: 02.05.2011

Citation: E. V. Usik, “Synchronization of nonlinear Lurie systems on the basis of passification and backstepping”, Avtomat. i Telemekh., 2012, no. 8, 35–48; Autom. Remote Control, 73:8 (2012), 1305–1315

Citation in format AMSBIB
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\paper Synchronization of nonlinear Lurie systems on the basis of passification and backstepping
\jour Avtomat. i Telemekh.
\yr 2012
\issue 8
\pages 35--48
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\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 8
\pages 1305--1315
\crossref{https://doi.org/10.1134/S0005117912080048}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. E. V. Usik, “Optimization of nonlinear cascade systems in lurie form with bounded external disturbances”, Autom. Remote Control, 78:7 (2017), 1350–1359  mathnet  crossref  elib
    2. Liu Wei, Dai Haohui, Wang Zhiming, Ni Mingkang, “Controlled synchronization of discrete-time nonlinear systems under constrained communication”, Autom. Remote Control, 76:12 (2015), 2156–2167  mathnet  crossref  isi  elib
    3. B. R. Andrievskii, A. A. Selivanov, “New results on the application of the passification method. A survey”, Autom. Remote Control, 79:6 (2018), 957–995  mathnet  crossref  isi  elib
    4. Bryntseva T.A. Fradkov A.L., “Frequency-Domain Estimates of the Sampling Interval in Multirate Nonlinear Systems By Time-Delay Approach”, Int. J. Control, 92:9 (2019), 1985–1992  crossref  isi
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