Analysis and control of the dynamic response of a higher order drifting oscillator

Yang Liu, Joseph Paez Chavez, Ekaterina Pavlovskaia, Marian Wiercigroch

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Abstract

This paper studies a position feedback control strategy for controlling a higher order drifting oscillator which could be used in modelling 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.
Original languageEnglish
Article number20170500
Pages (from-to)1-20
Number of pages20
JournalProceedings, Royal Society of London
Volume474
Issue number2210
Early online date21 Feb 2018
DOIs
Publication statusPublished - 21 Feb 2018

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Keywords

  • vibro-impact drilling
  • position feedback control
  • progression optimization
  • bistability
  • chaos control

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