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JOURNALS // Avtomatika i Telemekhanika // Archive

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

This article is cited in 4 papers

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.

Presented by the member of Editorial Board: B. T. Polyak

Received: 20.07.2014


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

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