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Preprints of the Keldysh Institute of Applied Mathematics, 2007, 020, 26 pp. (Mi ipmp475)  

Optimal control of an unstable rod displacement

Yu. F. Golubev
Abstract: The control problem is investigated with reference to a system which consists of a weighty rod leaned by its lower end on a mobile support. System performance from its unstable initial equilibrium to another unstable position with prescribed translation velocity is sought with the assumption of inertia-free support motion with bounded velocity. It is proved that optimal support velocity time dependence belongs to the permis-sible domain wall and realizes bang-bang control with two switches as a maximum. Calculation formulas for support velocity switches points of time in dependence on edge conditions are received. Results of computer simulation of a system performance with taking into account inertia of a support are presented.
Document Type: Preprint
Language: Russian
Citation: Yu. F. Golubev, “Optimal control of an unstable rod displacement”, Keldysh Institute preprints, 2007, 020, 26 pp.
Citation in format AMSBIB
\Bibitem{Gol07}
\by Yu.~F.~Golubev
\paper Optimal control of an unstable rod displacement
\jour Keldysh Institute preprints
\yr 2007
\papernumber 020
\totalpages 26
\mathnet{http://mi.mathnet.ru/ipmp475}
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  • https://www.mathnet.ru/eng/ipmp/y2007/p20
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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