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Avtomat. i Telemekh., 2019, Issue 1, Pages 21–37 (Mi at14975)  

Nonlinear Systems

Energy-optimal control of harmonic oscillator

A. A. Galyaev, P. V. Lysenko

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: The problem of optimal control of a harmonic oscillator is considered. The energy of oscillator at the final time instant is used as the optimization criterion. The optimal control and optimal value of energy as function of this time instant is determined. The result obtained was compared with the solution of the problem of time-optimal operation at bringing the oscillator in the state of rest.

Keywords: optimal control, Pontryagin maximum principle, harmonic oscillator.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-08-01285_а
This work was supported in part by the Russian Foundation for Basic Research, project no. 16-08-01285a.

Author to whom correspondence should be addressed

DOI: https://doi.org/10.1134/S0005231019010021

Full text: PDF file (3608 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Automation and Remote Control, 2019, 80:1, 16–29

Bibliographic databases:

Presented by the member of Editorial Board: Е. Я. Рубинович

Received: 18.01.2018
Revised: 25.05.2018
Accepted: 08.11.2018

Citation: A. A. Galyaev, P. V. Lysenko, “Energy-optimal control of harmonic oscillator”, Avtomat. i Telemekh., 2019, no. 1, 21–37; Autom. Remote Control, 80:1 (2019), 16–29

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