Lateral Vibration Suppression of a Disturbed Mining Cable Elevator with Flexible Guideways

Ji Wang, Shu Xia Tang, Miroslav Krstic

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In an ultra-deep mining cable elevator, the guideway consists of several tensioned cables from the surface to thousands of meters underground. The interaction dynamics between the cage and the flexible guideway is approximate as a spring-damping system, and the cage is subject to external disturbances. Lateral vibration suppression of the mining cable elevator is addressed in this paper, where an adaptive output-feedback boundary controller is designed for coupled hyperbolic PDEs with spatially-varying coefficients and on a time-varying domain, of which the uncontrolled boundary is coupled by an ODE subject to uncertain disturbances. The asymptotic convergence to zero of the ODE state and the boundedness of the PDE states are proved via Lyapunov analysis. The performance of the proposed controller on lateral vibration suppression of a mining cable elevator is verified in the numerical simulation.

Original languageEnglish
Title of host publication2020 59th IEEE Conference on Decision and Control, CDC 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4436-4441
Number of pages6
ISBN (Electronic)9781728174471
DOIs
StatePublished - Dec 14 2020
Event59th IEEE Conference on Decision and Control, CDC 2020 - Virtual, Jeju Island, Korea, Republic of
Duration: Dec 14 2020Dec 18 2020

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2020-December
ISSN (Print)0743-1546

Conference

Conference59th IEEE Conference on Decision and Control, CDC 2020
CountryKorea, Republic of
CityVirtual, Jeju Island
Period12/14/2012/18/20

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