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Avtomat. i Telemekh., 2015, Issue 11, Pages 3–17 (Mi at14300)  

Linear Systems

Feedback control for damping a system of linear oscillators

A. I. Ovseevicha, A. K. Fedorovab

a Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
b Bauman Moscow State Technical University, Moscow, Russia

Abstract: The paper is devoted to a design of a common bounded feedback control steering a system of an arbitrary number of linear oscillators to the equilibrium. At high energies, the control is based on the asymptotic theory of reachable sets of linear systems. With decreasing of the energy, a similar control with a reduced upper bound is used. On the final stage, the control is constructed by using the method of common Lyapunov functions. Special attention is paid to the cases of one and two oscillators.

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English version:
Automation and Remote Control, 2015, 76:11, 1905–1917

Bibliographic databases:

Presented by the member of Editorial Board: Б. Т. Поляк

Received: 20.07.2014

Citation: A. I. Ovseevich, A. K. Fedorov, “Feedback control for damping a system of linear oscillators”, Avtomat. i Telemekh., 2015, no. 11, 3–17; Autom. Remote Control, 76:11 (2015), 1905–1917

Citation in format AMSBIB
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\by A.~I.~Ovseevich, A.~K.~Fedorov
\paper Feedback control for damping a~system of linear oscillators
\jour Avtomat. i Telemekh.
\yr 2015
\issue 11
\pages 3--17
\mathnet{http://mi.mathnet.ru/at14300}
\elib{https://elibrary.ru/item.asp?id=24852120}
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\jour Autom. Remote Control
\yr 2015
\vol 76
\issue 11
\pages 1905--1917
\crossref{https://doi.org/10.1134/S0005117915110016}
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