The successive parameterization method of control actions in boundary value optimal control problems for distributed parameter systems

A special procedure for control action parameterization and the precise method based on it for determining open-loop optimal control algorithms for the systems with distributed parameters under the prescribed tolerance conditions for the deviation from the required final state of the controlled para...

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Vydáno v:Journal of computer & systems sciences international Ročník 48; číslo 3; s. 351 - 362
Hlavní autoři: Pleshivtseva, Yu. E., Rapoport, E. Ya
Médium: Journal Article
Jazyk:angličtina
Vydáno: Dordrecht SP MAIK Nauka/Interperiodica 01.06.2009
Springer Nature B.V
Témata:
Control
Control algorithms
Control in Systems with Distributed Parameters
Engineering
Mechatronics
Robotics
Studies
Singular Control
Optimal Control Problem
Control Action
System Science International
Adjoint Variable
ISSN:1064-2307, 1555-6530
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Shrnutí:A special procedure for control action parameterization and the precise method based on it for determining open-loop optimal control algorithms for the systems with distributed parameters under the prescribed tolerance conditions for the deviation from the required final state of the controlled parameter being estimated in the uniform metric is proposed. The method uses the reduction to the problems of semi-infinite optimization, alternance properties of their solutions, and some additional information on fundamental regularities of the subject domain. Examples showing an opportunity of using these results for applied problems, constituting also a point of independent interest are presented.
Bibliografie:SourceType-Scholarly Journals-1
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ISSN:1064-2307
1555-6530
DOI:10.1134/S1064230709030034