Flatness-Based Control of Torsional-Axial Coupled Drilling Vibrations

Martha Belem Saldivar; Torsten Knüppel; Frank Woittennek; Islam Boussaada; Hugues Mounier; Silviu-Iulian Niculescu

Flatness-Based Control of Torsional-Axial Coupled Drilling Vibrations

Martha Belem Saldivar ¹ Torsten Knüppel ² Frank Woittennek ² Islam Boussaada ^{3, 1} Hugues Mounier ¹ Silviu-Iulian Niculescu ^{1, 4}

1 L2S - Laboratoire des signaux et systèmes

2 RST - Institut für Regelungs- und Steuerungstheorie

3 IPSA - Institut Polytechnique des Sciences Avancées

4 DISCO - Dynamical Interconnected Systems in COmplex Environments

L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506

Abstract : The main purpose of this contribution is the control of both torsional and axial vibrations occurring along a rotary oil well drilling system. The considered model consists of a system of wave equations with non-linear coupled boundary conditions. We propose a flatness-based control approach to tackle the trajectory tracking problem guaranteeing the suppression of harmful dynamics. The closed loop control design ensures the stability of the error dynamics. Moreover, numerical simulations illustrate the efficiency of the established control laws.

Document type :

Conference papers

Domain :

Engineering Sciences [physics] / Automatic

Mathematics [math] / Dynamical Systems [math.DS]

Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01123670
Contributor : Islam Boussaada <>
Submitted on : Thursday, March 5, 2015 - 11:59:08 AM
Last modification on : Wednesday, October 23, 2019 - 1:26:39 AM

Flatness-Based Control of Torsional-Axial Coupled Drilling Vibrations

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Flatness-Based Control of Torsional-Axial Coupled Drilling Vibrations

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