Asymptotic Stabilization of a Flexible Beam with an Attached Mass
Optimization and Control
2022-08-09 v1
Abstract
A mathematical model of a simply supported Euler-Bernoulli beam with attached spring-mass system is considered. The model is controlled by distributed piezo actuators and lumped force. We address the issue of asymptotic behavior of solutions of this system driven by a linear feedback law. The precompactness of trajectories is established for the operator formulation of the closed-loop dynamics. Sufficient conditions for strong asymptotic stability of the trivial equilibrium are obtained.
Keywords
Cite
@article{arxiv.2105.08439,
title = {Asymptotic Stabilization of a Flexible Beam with an Attached Mass},
author = {Julia Kalosha and Alexander Zuyev},
journal= {arXiv preprint arXiv:2105.08439},
year = {2022}
}
Comments
This is a preprint version of the manuscript submitted to Ukrainian Mathematical Journal