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Avtomat. i Telemekh., 2009, Issue 5, Pages 35–50 (Mi at468)  

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

Approximate and Numerical Methods

Constructive methods of control optimization in nonlinear systems

A. I. Tyatyushkina, O. V. Morzhinb

a Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
b Buryat State University, Ulan-Ude, Russia

Abstract: The paper investigates methods of optimal program and point-to-point control in nonlinear differential systems. The proposed methods are based on the idea of discretizing the continuous-time problem. In case of program control, the method of projected Lagrangian is used, which involves solution of an auxiliary problem with linearized constraints by the reduced gradient method; in case of point-to-point control, Bellman's optimality principle is employed for a “grid” over an approximating solvability tube of the system for a specified goal set with approximation of the point-to-point control by families of controlling function or parameters. An example is given, where the optimal point-to-point control is calculated for a model of maneuvering aircraft.

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English version:
Automation and Remote Control, 2009, 70:5, 772–786

Bibliographic databases:

PACS: 02.30.Yy
Presented by the member of Editorial Board: . . 

Received: 01.10.2008

Citation: A. I. Tyatyushkin, O. V. Morzhin, “Constructive methods of control optimization in nonlinear systems”, Avtomat. i Telemekh., 2009, no. 5, 35–50; Autom. Remote Control, 70:5 (2009), 772–786

Citation in format AMSBIB
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\by A.~I.~Tyatyushkin, O.~V.~Morzhin
\paper Constructive methods of control optimization in nonlinear systems
\jour Avtomat. i Telemekh.
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\issue 5
\pages 35--50
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\transl
\jour Autom. Remote Control
\yr 2009
\vol 70
\issue 5
\pages 772--786
\crossref{https://doi.org/10.1134/S0005117909050063}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65649102325}


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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. A. I. Tyatyushkin, O. V. Morzhin, “Numerical investigation of attainability sets of nonlinear controlled differential systems”, Autom. Remote Control, 72:6 (2011), 1291–1300  mathnet  crossref  mathscinet  zmath  isi
    2. Grigorieva E.V., Khailov E.N., Korobeinikov A., “Parametrization of the Attainable Set for a Nonlinear Control Model of a Biochemical Process”, Math. Biosci. Eng., 10:4 (2013), 1067–1094  crossref  mathscinet  zmath  isi  elib  scopus
    3. Grigorieva E.V., Bondarenko N.V., Khailov E.N., “Time Optimal Control Problem For the Waste Water Biotreatment Model”, J. Dyn. Control Syst., 21:1 (2015), 3–24  crossref  mathscinet  zmath  isi  scopus
    4. Tyatyushkin A. Zarodnyuk T., “Numerical Method For Solving Optimal Control Problems With Phase Constraints”, Numer. Algebr. Control Optim., 7:4 (2017), 481–492  crossref  mathscinet  zmath  isi
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