Analysis and control of the dynamical response of a higher order drifting oscillator
Liu, Y; Páez Chávez, J; Pavlovskaia, E; et al.Wiercigroch, M
Date: 21 February 2018
Journal
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Publisher
Royal Society
Publisher DOI
Abstract
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 ...
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.
Engineering
Faculty of Environment, Science and Economy
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