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Article

Eliminating Stick-Slip Vibrations in Drill-Strings with a Dual-Loop Control Strategy Optimised by the CRO-SL Algorithm

1
Department of Signal Processing and Communications, Universidad de Alcalá, Alcalá de Henares, 28805 Madrid, Spain
2
Department of Information Systems, Universidad Politécnica de Madrid, Campus Sur, 28031 Madrid, Spain
3
School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UK
*
Author to whom correspondence should be addressed.
Academic Editor: Stevan Dubljevic
Mathematics 2021, 9(13), 1526; https://doi.org/10.3390/math9131526
Received: 1 June 2021 / Revised: 21 June 2021 / Accepted: 25 June 2021 / Published: 29 June 2021
Friction-induced stick-slip vibrations are one of the major causes for down-hole drill-string failures. Consequently, several nonlinear models and control approaches have been proposed to solve this problem. This work proposes a dual-loop control strategy. The inner loop damps the vibration of the system, eliminating the limit cycle due to nonlinear friction. The outer loop achieves the desired velocity with a fast time response. The optimal tuning of the control parameters is carried out with a multi-method ensemble meta-heuristic, the Coral Reefs Optimisation algorithm with Substrate Layer (CRO-SL). It is an evolutionary-type algorithm that combines different search strategies within a single population, obtaining a robust, high-performance algorithm to tackle hard optimisation problems. An application example based on a real nonlinear dynamics model of a drill-string illustrates that the controller optimised by the CRO-SL achieves excellent performance in terms of stick-slip vibrations cancellation, fast time response, robustness to system parameter uncertainties and chattering phenomenon prevention. View Full-Text
Keywords: stick-slip; drill-strings; vibration control; coral reefs optimisation; meta-heuristics stick-slip; drill-strings; vibration control; coral reefs optimisation; meta-heuristics
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MDPI and ACS Style

Pérez-Aracil, J.; Camacho-Gómez, C.; Pereira, E.; Vaziri, V.; Aphale, S.S.; Salcedo-Sanz, S. Eliminating Stick-Slip Vibrations in Drill-Strings with a Dual-Loop Control Strategy Optimised by the CRO-SL Algorithm. Mathematics 2021, 9, 1526. https://doi.org/10.3390/math9131526

AMA Style

Pérez-Aracil J, Camacho-Gómez C, Pereira E, Vaziri V, Aphale SS, Salcedo-Sanz S. Eliminating Stick-Slip Vibrations in Drill-Strings with a Dual-Loop Control Strategy Optimised by the CRO-SL Algorithm. Mathematics. 2021; 9(13):1526. https://doi.org/10.3390/math9131526

Chicago/Turabian Style

Pérez-Aracil, Jorge, Carlos Camacho-Gómez, Emiliano Pereira, Vahid Vaziri, Sumeet S. Aphale, and Sancho Salcedo-Sanz. 2021. "Eliminating Stick-Slip Vibrations in Drill-Strings with a Dual-Loop Control Strategy Optimised by the CRO-SL Algorithm" Mathematics 9, no. 13: 1526. https://doi.org/10.3390/math9131526

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