Analysis and control of the dynamical response of a higher order drifting oscillator.

Analysis and control of the dynamical response of a higher order drifting oscillator.
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DOI:
10.1098/rspa.2017.0500
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发表时间:
2018-03
期刊:
Proceedings. Mathematical, physical, and engineering sciences
影响因子:
--
通讯作者:
Wiercigroch M
Wiercigroch M
中科院分区:
其他
文献类型:
--
作者:
Liu Y;Páez Chávez J;Pavlovskaia E;Wiercigroch M

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本文研究了一种用于控制高阶漂移振子的位置反馈控制策略,该振子可用于模拟冲击振动钻进。特别注意了两个控制问题,即消除双稳态和抑制混沌,这两个问题可能导致钻井效率低下和不稳定。采用连续平台COCO实现的数值连续化方法研究了系统的动力响应。分析表明,只要选择适当的反馈控制增益,所提出的控制器能够消除共存吸引子,抑制系统的混沌行为。我们的研究还表明,当模拟钻井地层的滑块的性质发生变化时,受控钻井的钻速可以显著提高。
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.
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