A Reduced Order Controller for Output Tracking of a Kelvin-Voigt Beam
Optimization and Control
2023-03-01 v1 Numerical Analysis
Analysis of PDEs
Functional Analysis
Numerical Analysis
Abstract
We study output tracking and disturbance rejection for an Euler-Bernoulli beam with Kelvin-Voigt damping. The system has distributed control and pointwise observation. As our main result we design a finite-dimensional low-order internal model based controller that is based on a spectral Galerkin method and model reduction by Balanced Truncation. The performance of the designed controller is demonstrated with numerical simulations and compared to the performance of a low-gain internal model based controller.
Keywords
Cite
@article{arxiv.2104.08025,
title = {A Reduced Order Controller for Output Tracking of a Kelvin-Voigt Beam},
author = {Lassi Paunonen and Duy Phan},
journal= {arXiv preprint arXiv:2104.08025},
year = {2023}
}
Comments
13 pages, 7 figures. Preprint of a conference paper in the Proceedings of the 24th International Symposium on Mathematical Theory of Networks and Systems