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Avtomatika i Telemekhanika, 2010, Issue 5, Pages 21–47 (Mi at813)  
This article is cited in 18 scientific papers (total in 18 papers)

Deterministic Systems

Compensating unremovable imperfections in operation units

S. A. Kochetkov, V. A. Utkin

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (948 kB) Citations (18)
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Abstract: We consider the problem of stabilizing a linear stationary system with disconnected control laws, where imperfections of operation units lead to autooscillations (“chattering”) in a stabilized mode. If constructive possibilities have been exhausted, and unremovable imperfections still lead to an unsatisfactory control process, one has to use additional possibilities connected with feedback control algorithms. This work presents algorithms in which increasing the feedback amplification coefficients and using an additional high-frequency signal leads to reduced “chattering”. We obtain numerical estimates of the parameters that characterize the quality of stabilized modes for a finite frequency of switching the relay elements.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 30.07.2009
English version:
Automation and Remote Control, 2010, Volume 71, Issue 5, Pages 747–771
DOI: https://doi.org/10.1134/S0005117910050036
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. A. Kochetkov, V. A. Utkin, “Compensating unremovable imperfections in operation units”, Avtomat. i Telemekh., 2010, no. 5, 21–47; Autom. Remote Control, 71:5 (2010), 747–771
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/at813
  • https://www.mathnet.ru/eng/at/y2010/i5/p21
    • This publication is cited in the following 18 articles:
    1. Kochetkov S.A. Krasnova S.A. Utkin V.A., “Tracking Problem For Electromechanical System Under Influence of External Perturbations”, Icnpaa 2016 World Congress: 11Th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, AIP Conference Proceedings, 1798, ed. Sivasundaram S., Amer Inst Physics, 2017, UNSP 020079  crossref  isi  scopus
    2. Sergey A. Kochetkov, Svetlana A. Krasnova, Victor A. Utkin, 2016 14th International Workshop on Variable Structure Systems (VSS), 2016, 362  crossref
    3. S. A. Krasnova, N. S. Mysik, “Cascade synthesis of a state observer with nonlinear correcting influences”, Autom. Remote Control, 75:2 (2014), 263–280  mathnet  crossref  isi
    4. S. A. Kochetkov, V. A. Utkin, “Vikhrevye algoritmy v zadache upravleniya dvigatelem postoyannogo toka”, Probl. upravl., 5 (2014), 20–27  mathnet
    5. Kochetkov S.A. Utkin V.A., “New Approach To Design Asymptotical Invariant Systems For Arbitrary Disturbances”, 2014 13Th International Workshop on Variable Structure Systems (Vss), IEEE International Workshop on Variable Structure Systems, IEEE, 2014  isi
    6. Kochetkov S.A. Utkin V.A., “Dc Motor Control Algorithm on the Base of Vortex Algorithm”, 2014 13Th International Workshop on Variable Structure Systems (Vss), IEEE International Workshop on Variable Structure Systems, IEEE, 2014  isi
    7. Sergey A. Kochetkov, Victor A. Utkin, “The Synthesis of Invariant Systems on the Base of The Vortex Algorithm”, IFAC Proceedings Volumes, 47:3 (2014), 8134  crossref
    8. S.A. Kochetkov, V.A. Utkin, 2014 12th International Conference on Actual Problems of Electronics Instrument Engineering (APEIE), 2014, 679  crossref
    9. Sergey A. Kochetkov, Victor A. Utkin, 2014 13th International Workshop on Variable Structure Systems (VSS), 2014, 1  crossref
    10. Sergey A. Kochetkov, Victor A. Utkin, 2014 13th International Workshop on Variable Structure Systems (VSS), 2014, 1  crossref
    11. S. A. Kochetkov, V. A. Utkin, “Invariance in systems with unmatched perturbations”, Autom. Remote Control, 74:7 (2013), 1097–1127  mathnet  crossref  isi
    12. Kochetkov S.A. Utkin V.A., “Providing the Invariance Property on the Basis on Oscillation Modes”, Dokl. Math., 88:2 (2013), 618–623  crossref  mathscinet  zmath  isi  elib  scopus
    13. S. A. Kochetkov, S. A. Krasnova, V. A. Utkin, 2012 IEEE 11th International Conference on Actual Problems of Electronics Instrument Engineering (APEIE), 2012, 19  crossref
    14. S. A. Kochetkov, S. A. Krasnova, V. A. Utkin, 2012 IEEE 11th International Conference on Actual Problems of Electronics Instrument Engineering (APEIE), 2012, 66  crossref
    15. S. A. Kochetkov, “Algoritmy upravleniya i identifikatsii dlya profilografa-profilometra pri vozdeistvii vneshnikh vozmuschenii”, Probl. upravl., 3 (2011), 20–29  mathnet
    16. S. A. Kochetkov, V. A. Utkin, “Method of decomposition in mobile robot control”, Autom. Remote Control, 72:10 (2011), 2084–2099  mathnet  crossref  mathscinet  zmath  isi
    17. S. A. Krasnova, N. S. Mysik, “Design of invariant control system for longitudinal motion of flight vehicle”, Autom. Remote Control, 72:10 (2011), 2100–2111  mathnet  crossref  mathscinet  zmath  isi
    18. Sergey A. Kochetkov, Victor A. Utkin, “Invariance in the systems with non-ideal relays”, IFAC Proceedings Volumes, 44:1 (2011), 7915  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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