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Avtomatika i Telemekhanika, 2009, Issue 5, Pages 35–50 (Mi at468)  
This article is cited in 5 scientific papers (total in 5 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
Full-text PDF (2384 kB) Citations (5)
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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.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 01.10.2008
English version:
Automation and Remote Control, 2009, Volume 70, Issue 5, Pages 772–786
DOI: https://doi.org/10.1134/S0005117909050063
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
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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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:42
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