Practical Stability Analysis of a Drilling Pipe under Friction with a PI-Controller - LAAS - Laboratoire d'Analyse et d'Architecture des Systèmes Access content directly
Journal Articles IEEE Transactions on Control Systems Technology Year : 2019

Practical Stability Analysis of a Drilling Pipe under Friction with a PI-Controller

Abstract

This paper deals with the stability analysis of a drilling pipe controlled by a PI controller. The model is a coupled ODE / PDE and is consequently of infinite dimension. Using recent advances in time-delay systems, we derive a new Lyapunov functional based on a state extension made up of projections of the Riemann coordinates. First, we will provide an exponential stability result expressed using the LMI framework. This result is dedicated to a linear version of the torsional dynamic. On a second hand, the influence of the nonlinear friction force, which may generate the well-known stick-slip phenomenon, is analyzed through a new stability theorem. Numerical simulations show the effectiveness of the method and that the stick-slip oscillations cannot be weaken using a PI controller.
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Dates and versions

hal-02099459 , version 1 (19-04-2019)
hal-02099459 , version 2 (23-09-2019)

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Matthieu Barreau, Frédéric Gouaisbaut, Alexandre Seuret. Practical Stability Analysis of a Drilling Pipe under Friction with a PI-Controller. IEEE Transactions on Control Systems Technology, 2019, ⟨10.1109/TCST.2019.2943458⟩. ⟨hal-02099459v2⟩
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