Flatness-Based Control for a Non-Linear Spatially Distributed Model of a Drilling System

International audienceThe main purpose of this study is the control of both axial and torsional 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 for suppressing harmful dynamics. Moreover, numerical simulations illustrate the efficiency of the established control laws