Prediction-based control of linear input-delay system subject to state-dependent state delay - Application to suppression of mechanical vibrations in drilling. Issue 8 (2016)

• Record Type: Journal Article
• Authors: Bresch-Pietri, Delphine; Di Meglio, Florent
• Is Part Of: IFAC-PapersOnLine. Volume 49:Issue 8(2016)
• Page Start: 111
• Page End: 117
• Publication Date: 2016
• Subjects: Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2016.07.427
• Languages: English
• ISSNs: 2405-8963

Abstract

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.