Feedback control for damping a system of linear oscillators
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.
Cite
@article{arxiv.1509.06056,
title = {Feedback control for damping a system of linear oscillators},
author = {Alexander Ovseevich and Aleksey Fedorov},
journal= {arXiv preprint arXiv:1509.06056},
year = {2015}
}
Comments
12 pages, 4 figures; presented at the 37th Conference and School on Information Technologies and Systems (Kaliningrad, September 1-6, 2013); the subject of the present paper has grown out of study arXiv:1308.6090 (see Appendix III); published version