Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
710802 | IFAC-PapersOnLine | 2016 | 7 Pages |
Abstract
In this paper, we consider linear dynamics subject to a distributed state-dependent delay and a pointwise input-delay. We propose a prediction-based controller which exponentially stabilizes the plant. The controller design is based on a backstepping approach where delays are reformulated as hyperbolic transport PDEs. Infinity-norm stability analysis of the corresponding closed-loop system is addressed. We show that this result is of interest to suppress mechanical vibrations arising in drilling facilities, which have been attributed recently to a coupling between torsional and vertical displacement involving an implicit state delay equation. Numerical simulations illustrate the merits of our controller in this context.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Delphine Bresch-Pietri, Florent Di Meglio,