On robust feedback for systems with multidimensional control
Optimization and Control
2016-11-03 v1
Abstract
The paper deals with local robust feedback synthesis for systems with multidimensional control and unknown bounded perturbations. Using V.~I.~Korobov's controllability function method, we construct a bounded control which steers an arbitrary initial point to the origin in some finite time; an estimate from above for the time of motion is given. We have found the range of a segment where the perturbations can vary. As an example we consider the problem of stopping the oscillations of the system of two coupled pendulums.
Cite
@article{arxiv.1611.00581,
title = {On robust feedback for systems with multidimensional control},
author = {V. I. Korobov and T. V. Revina},
journal= {arXiv preprint arXiv:1611.00581},
year = {2016}
}
Comments
19 pages, 6 figures