Estimates of admissible disturbance levels in the game problems of reorientation of an asymmetric rigid body / Vorotnikov V.I. // Journal of Computer and Systems Sciences International. - 1999. - V. 38, l. 3. - P. 386-392.

ISSN:
10642307
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Article
Abstract:
A nonlinear game problem of reorientation of an asymmetric rigid body under uncontrollable disturbances for which only estimates are known is considered. The controls are subject to given "geometrical" constraints. The method [1-4] for the solution of this problem, which is based on the "equivalent linearization" of nonlinear conflict-control systems, is developed. Direct estimates of disturbance levels that are admissible for reorientation and depend on the given constraints imposed on the controls and the initial position of the body are found. These estimates are convenient at the first stage of solution where the possibility of using controls for the required reorientation that is proposed in [1-4] is determined. If the mentioned estimates hold with a "reserve," then further (at the second stage of solution), by using iterative algorithms [1-4], it is possible to find a specific value of the guaranteed time of reorientation. The results of the computation are presented. Copyright © 1999 by MAHK HayKa/Interperiodica.
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Affiliations Ural State Technical University (Nizhni Tagil Branch), pr. Dzerzhinskogo 30, Nizhni Tagil, 622006, Russian Federation
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Correspondence Address Vorotnikov, V.I.; Ural State Technical University (Nizhni Tagil Branch), pr. Dzerzhinskogo 30, Nizhni Tagil, 622006, Russian Federation
CODEN JSSIE
Language of Original Document English
Abbreviated Source Title J Comput Syst Sci Int
Source Scopus