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Avtomatika i Telemekhanika, 1981, Issue 4, Pages 5–13 (Mi at5754)  
This article is cited in 10 scientific papers (total in 10 papers)

Deterministic Systems

Methods for reduction of equations of dynamic systems to a regular form

A. G. Luk'yanov, V. I. Utkin

Moscow
Full-text PDF (1547 kB) Citations (10)
Abstract: From theory of Pfaff forms methods are designed for transformation of the problem of designing the desired motions in sliding mode to that of lower dimension and continuous control. Classes of dynamic systems are defined for which the condi­ tions for existence of such transformation are met and examples are given.

Received: 05.02.1980
Bibliographic databases:
Document Type: Article
UDC: 62-50
Language: Russian
Citation: A. G. Luk'yanov, V. I. Utkin, “Methods for reduction of equations of dynamic systems to a regular form”, Avtomat. i Telemekh., 1981, no. 4, 5–13; Autom. Remote Control, 42:4 (1981), 413–420
Citation in format AMSBIB
\Bibitem{LukUtk81}
\by A.~G.~Luk'yanov, V.~I.~Utkin
\paper Methods for reduction of equations of dynamic systems to a regular form
\jour Avtomat. i Telemekh.
\yr 1981
\issue 4
\pages 5--13
\mathnet{http://mi.mathnet.ru/at5754}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=653875}
\zmath{https://zbmath.org/?q=an:0466.93016}
\transl
\jour Autom. Remote Control
\yr 1981
\vol 42
\issue 4
\pages 413--420
Linking options:
  • https://www.mathnet.ru/eng/at5754
  • https://www.mathnet.ru/eng/at/y1981/i4/p5
    • This publication is cited in the following 10 articles:
    1. Martin del Campo M., Loukianov A.G., Plestan F., “Robust Error Feedback Sliding Mode Regulator For Nonlinear Systems in Regular Form”, IFAC PAPERSONLINE, 53:2 (2020), 4893–4898  crossref  isi
    2. Rivera J., Ortega-Cisneros S., Chavira F., “Sliding Mode Output Regulation For a Boost Power Converter”, Energies, 12:5 (2019), 879  crossref  isi  scopus
    3. Gaiduk A.R. Prokopenko N.N., “Design of Nonlinear Optimal Systems on Basis of Controlled Jordan Form”, 2017 IEEE East-West Design & Test Symposium (Ewdts), East-West Design & Test Symposium, IEEE, 2017  isi
    4. Schreibeis J. Wulff K. Reger J. Moreno J.A., “Lyapunov-Stability For the Sliding-Mode Control of a Turbocharger Subject to State Constraints”, Iecon 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society, IEEE Industrial Electronics Society, IEEE, 2017, 4068–4073  isi
    5. Aparicio A. Castanos F. Fridman L., “Output Feedback Sliding-Mode Control With Unmatched Disturbances, An Iss Approach”, Int. J. Robust Nonlinear Control, 26:18 (2016), 4056–4071  crossref  isi  scopus
    6. Sanchez E., RuizCruz R., “Doubly Fed Induction Generators: Control For Wind Energy”, Doubly Fed Induction Generators: Control For Wind Energy, Automation and Control Engineering Series, Crc Press-Taylor & Francis Group, 2016, 1–148  crossref  isi
    7. Diego Sanchez-Torres J., Navarrete-Guzman A., Rubio-Astorga G., Loukianov A.G., “High Order Integral Nested Sliding Mode Control”, 2014 13Th International Workshop on Variable Structure Systems (Vss), IEEE International Workshop on Variable Structure Systems, IEEE, 2014  isi
    8. S. A. Kochetkov, S. A. Krasnova, V. A. Utkin, “Metod regulyarizatsii skolzyaschikh dvizhenii po obratnoi svyazi”, Ufimsk. matem. zhurn., 1:4 (2009), 67–77  mathnet  zmath
    9. A. R. Gaiduk, “Design of nonlinear systems based on the controllable jordan form”, Autom. Remote Control, 67:7 (2006), 1017–1027  mathnet  crossref  mathscinet  zmath
    10. S. A. Krasnova, “Cascaded Design of the State Observer for Nonlinear Systems in the Presence of External Perturbations”, Autom. Remote Control, 64:1 (2003), 1–22  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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