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2016 | 26 | 2 | 335-349
Tytuł artykułu

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

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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.
Opis fizyczny
  • Faculty of Engineering, Autonomous University of the State of Mexico, Instituto Literario No. 100 Ote., 50130 Toluca, Mexico
  • Department of Automatic Control CINVESTAV-IPN, Av. IPN No. 2508, Col. San Pedro Zacatenco, C.P. 07360, México D.F., Mexico
  • Faculty of Engineering, Autonomous University of the State of Mexico, Instituto Literario No. 100 Ote., 50130 Toluca, Mexico
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