Optimal excitation of oscillations by a limited control force

Author

Belyakov, Anton O.

Author_Institution

Dept. of Mech. & Math., Moscow State Lomonosov Univ., Russia

Volume

4

fYear

2003

fDate

20-22 Aug. 2003

Firstpage

1130

Abstract

A linear oscillator with limited excitation force (control function) is under consideration. The optimal control, which brings oscillatory system to a certain energy level from any initial conditions at the minimal time, is found. The synthesis of control is done. Multi-dimensional case is also studied. The problem has mechanical application to inertia moments measuring by oscillations of a rigid body in elastic support with several degrees of freedom.

Keywords

control system synthesis; feedback; force; matrix algebra; mechanical variables control; multidimensional systems; optimal control; oscillations; oscillators; control synthesis; degrees of freedom; elastic support; energy level; excitation force; feedback algorithms; inertia moments; limited control force; linear oscillator; multidimensional case; optimal control; optimal excitation; oscillation excitation; time estimation; Control system synthesis; Control systems; Force control; Frequency; Mechanical variables control; Optimal control; Oscillators; Temperature control; Velocity control; Weight control;

fLanguage

English

Publisher

ieee

Conference_Titel

Physics and Control, 2003. Proceedings. 2003 International Conference

Print_ISBN

0-7803-7939-X

Type

conf

DOI

10.1109/PHYCON.2003.1237065

Filename

1237065