Boundary feedback control of an anti-stable wave equation
Optimization and Control
2020-02-19 v1
Abstract
We discuss boundary control of a wave equation with a non-linear anti-damping boundary condition. We design structured finite-dimensional -output feedback controllers which stabilize the infinite dimensional system exponentially in closed loop. The method is applied to control torsional vibrations in drilling systems with the goal to avoid slip-stick.
Keywords
Cite
@article{arxiv.2002.07567,
title = {Boundary feedback control of an anti-stable wave equation},
author = {Pierre Apkarian and Dominikus Noll},
journal= {arXiv preprint arXiv:2002.07567},
year = {2020}
}
Comments
28 pages, 11 figures, 2 tables