Funnel control for boundary control systems
Optimization and Control
2022-03-09 v2 Analysis of PDEs
Abstract
We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop system is proved by using nonlinear operator theory. We apply our results to both hyperbolic and parabolic equations.
Cite
@article{arxiv.1903.03599,
title = {Funnel control for boundary control systems},
author = {Marc Puche and Timo Reis and Felix Schwenninger},
journal= {arXiv preprint arXiv:1903.03599},
year = {2022}
}
Comments
26 pages, thoroughly revised version. The system class has been generalized considerably. Added general example class of parabolic problems