<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Torsional vibrations induced in drilling systems are detrimental to the condition of the machine and to the effectiveness of the engineering process. The cause of vibrations is a nonlinear and unknown friction between a drill string and the environment, containing jumps in its characteristics. Nonlinear behaviour of the friction coefficient results in self-excited vibration and causes undesirable stick-slip oscillations. The aim of this paper is to present a novel adaptive technique of controlling vibrating systems. The scheme is based on the linear quadratic regulator and uses direct measurements of the friction torque to synthesize its linear dynamic approximation. This approach allows generating a control law that takes into account the impact of the friction on the system dynamics and optimally steers the system to the desired trajectory. The controller’s performance is examined via numerical simulations of the stabilization of the drilling system. The proposed solution outperforms the comparative LQG regulator in terms of the minimization of the assumed cost functional and the overall stability of the control system under the nonlinear disturbance.</p></abstract>

Torsional vibrations induced in drilling systems are detrimental to the condition of the machine and to the effectiveness of the engineering process. The cause of vibrations is a nonlinear and unknown friction between a drill string and the environment, containing jumps in its characteristics. Nonlinear behaviour of the friction coefficient results in self-excited vibration and causes undesirable stick-slip oscillations. The aim of this paper is to present a novel adaptive technique of controlling vibrating systems. The scheme is based on the linear quadratic regulator and uses direct measurements of the friction torque to synthesize its linear dynamic approximation. This approach allows generating a control law that takes into account the impact of the friction on the system dynamics and optimally steers the system to the desired trajectory. The controller’s performance is examined via numerical simulations of the stabilization of the drilling system. The proposed solution outperforms the comparative LQG regulator in terms of the minimization of the assumed cost functional and the overall stability of the control system under the nonlinear disturbance.

A New Efficient Adaptive Control of Torsional Vibrations Induced by Switched Nonlinear Disturbances

Institute of Fundamental Technological Research

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Torsional vibrations induced in drilling systems are detrimental to the condition of the machine and to the effectiveness of the engineering process. The cause...

A New Efficient Adaptive Control of Torsional Vibrations Induced by Switched Nonlinear Disturbances

Published Online: Jul 04, 2019

Page range: 285 - 303

Received: Apr 04, 2018

Accepted: Mar 02, 2019

DOI: https://doi.org/10.2478/amcs-2019-0021

Keywords
vibration control, adaptive control, linear-quadratic-regulator, drilling control

© 2019 Maciej Wasilewski et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A New Efficient Adaptive Control of Torsional Vibrations Induced by Switched Nonlinear Disturbances

Published Online: Jul 04, 2019

Page range: 285 - 303

Received: Apr 04, 2018

Accepted: Mar 02, 2019

DOI: https://doi.org/10.2478/amcs-2019-0021

Keywordsvibration control, adaptive control, linear-quadratic-regulator, drilling control

© 2019 Maciej Wasilewski et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
vibration control, adaptive control, linear-quadratic-regulator, drilling control