Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity
Systems and Control
2020-10-27 v1 Systems and Control
Abstract
We propose a new design technique for the stabilization of coupled ODE-PDE systems in feedforward form. In particular, we address the stabilization problem of a one-dimensional transport equation driven by a scalar ODE which is controlled via a cone-bounded nonlinearity. The unforced transport equation is conservative but not asymptotically stable. The proposed technique is inspired by the forwarding approach early introduced in the 90's. Well-posedness and asymptotic stability of the closed-loop system are discussed.
Keywords
Cite
@article{arxiv.2010.13417,
title = {Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity},
author = {Swann Marx and Lucas Brivadis and Daniele Astolfi},
journal= {arXiv preprint arXiv:2010.13417},
year = {2020}
}