The control of drilling vibrations: A coupled PDE-ODE modeling approach
Belem Saldivar, Sabine Mondié, Juan Carlos Avila Vilchis (2016)
International Journal of Applied Mathematics and Computer Science
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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....