Prediction-based control of linear input-delay system subject to state-dependent state delay – Application to suppression of mechanical vibrations in drilling
Authors: Delphine Bresch-Pietri, Florent Di Meglio, 2nd IFAC Workshop on Control of Systems governed by Partial Differential Equations (CPDE'16), pp. 111-117, Bertinoro, 13-15 June 2016. DOI: 10.1016/j.ifacol.2016.07.427
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.
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BibTeX:
@Proceedings{2017-06-21,
author = {Delphine Bresch-Pietri, Florent Di Meglio},
editor = {},
title = {Prediction-based control of linear input-delay system subject to state-dependent state delay – Application to suppression of mechanical vibrations in drilling},
booktitle = {2nd IFAC Workshop on Control of Systems governed by Partial Differential Equations (CPDE’16)},
volume = {},
publisher = {},
address = {Bertinoro},
pages = {111-117},
year = {2016},
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.},
keywords = {}}
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.
Download PDF
BibTeX:
@Proceedings{2017-06-21,
author = {Delphine Bresch-Pietri, Florent Di Meglio},
editor = {},
title = {Prediction-based control of linear input-delay system subject to state-dependent state delay – Application to suppression of mechanical vibrations in drilling},
booktitle = {2nd IFAC Workshop on Control of Systems governed by Partial Differential Equations (CPDE’16)},
volume = {},
publisher = {},
address = {Bertinoro},
pages = {111-117},
year = {2016},
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.},
keywords = {}}