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Journal of Computer and Systems Sciences International
Erschienen in: Journal of Computer and Systems Sciences International 6/2021

01.11.2021 | SYSTEMS THEORY AND GENERAL CONTROL THEORY

Method of Quasi-Optimal Synthesis of Control Laws Based on the Reduction of the Lagrange Problem to the Isoperimetric Problem Using Asynchronous Variation

verfasst von: A. A. Kostoglotov, S. V. Lazarenko

Erschienen in: Journal of Computer and Systems Sciences International | Ausgabe 6/2021

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Abstract

The solution of the problem of the structural synthesis of quasi-optimal control laws based on the reduction of the Lagrange problem to the isoperimetric problem is considered. The analysis of the variation of the extended action integral is based on the study of asynchronous (full) variation and leads to a boundary-value problem, the solution of which satisfies the condition for the maximum function of the generalized power and the requirement to fulfill the energy balance on the extreme trajectory. Based on the example of the problem of A.T. Fuller, it is shown that the set of quasi-optimal controls constructed using the developed method contains the optimal solutions.
Nächster Artikel Formation of the Motion Properties of Mechanical Systems by Controlling the Reactions of Holonomic Quasi-Ideal Constraints

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Metadaten
Titel
Method of Quasi-Optimal Synthesis of Control Laws Based on the Reduction of the Lagrange Problem to the Isoperimetric Problem Using Asynchronous Variation
verfasst von
A. A. Kostoglotov
S. V. Lazarenko
Publikationsdatum
01.11.2021
Verlag
Pleiades Publishing
Erschienen in
Journal of Computer and Systems Sciences International / Ausgabe 6/2021
Print ISSN: 1064-2307
Elektronische ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230721060113

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