- Tytuł:
- The control of drilling vibrations: A coupled PDE-ODE modeling approach
- Autorzy:
-
Saldivar, B.
Mondié, S.
Ávila Vilchis, J. C. - Powiązania:
- https://bibliotekanauki.pl/articles/331138.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
drilling vibrations
LMI approach
ultimate boundedness
coupled wave-ODE system - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2016, 26, 2; 335-349
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł