Boundary stabilization of systems of high order PDEs arising from flexible robotics
Systems and Control
2020-01-17 v1 Systems and Control
Abstract
The problem of stabilization of a system of coupled PDEs of the forth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of flexible mechanical systems. A linear feedback controller is proposed, and using an abstract formulation based on operator semigroup theory, we are able to prove the well-posedness and the stability of the closed-loop system. The performances of the proposed controller are illustrated by means of numerical simulations.
Keywords
Cite
@article{arxiv.2001.05742,
title = {Boundary stabilization of systems of high order PDEs arising from flexible robotics},
author = {Andrea Cristofaro and Francesco Ferrante},
journal= {arXiv preprint arXiv:2001.05742},
year = {2020}
}