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Exponential Stabilization of Torsional Vibrations in Rotary Drilling Systems

Samir Toumi 1 Lotfi Beji 1 Rhouma Mlayeh 2 Azgal Abichou 2
1 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
2 LIM - Laboratoire d'Ingénierie Mathématique
Abstract : The paper considers oilwell drilling operations and, in particular, the problem of minimizing drilling vibrations. We develop a stabilizing controller for a one dimension wave PDE with damping term that describes the drillstring torsional system. The drillstring system stability is studied via the Lyapunov theory and the control steps are deduced from a PDE backstepping approach. As a result, exponential vibration suppression is obtained in presence of stick-slip friction due to the drill-bit and the soil interactions. The torsional vibration rejection is shown through the developed simulation results.
Keywords : Backstepping techniques Control of partial differential equations Lyapunov methods Stability of nonlinear systems Torsional vibrations
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Conference papers
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https://hal.archives-ouvertes.fr/hal-01629332
Contributor : Frédéric Davesne <>
Submitted on : Monday, November 6, 2017 - 12:40:46 PM
Last modification on : Tuesday, June 30, 2020 - 11:56:09 AM

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Samir Toumi, Lotfi Beji, Rhouma Mlayeh, Azgal Abichou. Exponential Stabilization of Torsional Vibrations in Rotary Drilling Systems. 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. pp.1565--1570, ⟨10.1016/j.ifacol.2017.08.310⟩. ⟨hal-01629332⟩

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