Creator:

Saldivar, Belem ; Mondié, Sabine ; Ávila Vilchis, Juan Carlos

Contributor:

Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.

Title:

The control of drilling vibrations: A coupled PDE-ODE modeling approach

Group publication title:

AMCS, Volume 26 (2016)

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

Date:

2016

Resource Type:

artykuł

DOI:

10.1515/amcs-2016-0024

Pages:

335-349

Source:

AMCS, volume 26, number 2 (2016) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego