Analysis and control of the dynamical response of a higher order drifting oscillator
Páez Chávez, J
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Royal Society, The
© 2018 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/ by/4.0/, which permits unrestricted use, provided the original author and source are credited.
This paper studies a position feedback control strategy for controlling a higher order drifting oscillator which could be used in modelling of the vibro-impact drilling. Special attention is given to two control issues, eliminating bistability and suppressing chaos, which may cause inefficient and unstable drilling. Numerical continuation methods implemented via the continuation platform COCO are adopted to investigate the dynamical response of the system. Our analyses show that, the proposed controller is capable of eliminating coexisting attractors and mitigating chaotic behaviour of the system, providing that its feedback control gain is chosen properly. Our investigations also reveal that, when the slider’s property modelling the drilled formation changes, the rate of penetration for the controlled drilling can be significantly improved.
This work was supported by the EPSRC grant EP/P023983/1
This is the author accepted manuscript. The final version is available from The Royal Society via the DOI in this record.
Vol. 474 (2210), article 20170500