Optimal Control of the Vibrations  of a Suspended Filament

Miroslav M. Kopets

doi:10.1615/JAutomatInfScien.v49.i8.20

Journal of Automation and Information Sciences

Chefredakteur: Arkadiy A. Chikriy (open in a new tab)

Mitherausgebers: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Erscheint 12 Ausgaben pro Jahr

ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

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Optimal Control of the Vibrations of a Suspended Filament

Volumen 49, Ausgabe 8, 2017, pp. 19-32

DOI: 10.1615/JAutomatInfScien.v49.i8.20

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Miroslav M. Kopets
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev

ABSTRAKT

The paper is devoted to the linear-quadratic optimal control problem by the process of the vibrations of a suspended filament. For the considered optimization problem the necessary conditions of optimality are obtained and the uniqueness of the optimal control is proved. The analysis of these conditions has resulted in obtaining the system of Riccati integro-differential equations which solution is presented in a closed form.

SCHLÜSSELWÖRTER: suspended filament, vibrations, linear-quadratic optimal control, necessary conditions of optimality, uniqueness of the optimal control, Riccati integro-differential equations

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