@misc{Saldivar_Belem_The,
 author={Saldivar, Belem and Mondié, Sabine and Ávila Vilchis, Juan Carlos},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 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.},
 abstract={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.},
 title={The control of drilling vibrations: A coupled PDE-ODE modeling approach},
 type={artykuł},
 keywords={drilling vibrations, LMI approach, ultimate boundedness, coupled wave-ODE system},
}