Creator:
Saldivar, Belem ; Mondié, Sabine ; Ávila Vilchis, Juan Carlos
Contributor:
Korbicz, Józef - red. ; Uciński, Dariusz - red.
Title:
The control of drilling vibrations: A coupled PDE-ODE modeling approach
Group publication title:
Subject and Keywords:
drilling vibrations ; LMI approach ; ultimate boundedness ; coupled wave-ODE system
Abstract:
The main purpose of this contribution is the control of both torsional and axial vibrations occurring along a rotary oilwell drilling system. The model considered consists of a wave equation coupled to an ordinary differential equation (ODE) through a nonlinear function describing the rock-bit interaction. ; We propose a systematic method to design feedback controllers guaranteeing ultimate boundedness of the system trajectories and leading consequently to the suppression of harmful dynamics. The proposal of a Lyapunov-Krasovskii functional provides stability conditions stated in terms of the solution of a set of linear and bilinear matrix inequalities (LMIs, BMIs). Numerical simulations illustrate the efficiency of the obtained control laws.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Type:
DOI:
Pages:
Source:
AMCS, volume 26, number 2 (2016) ; click here to follow the link