On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loeve approaches

Diego Colon; Americo Cunha Jr; Stefan Kaczmarczyk; Jose Balthazar

doi:10.1016/j.proeng.2017.09.083

On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loeve approaches

Diego Colon, Americo Cunha Jr, Stefan Kaczmarczyk, Jose Balthazar

Research output: Contribution to Journal › Article › peer-review

Abstract

The paper deals with the quantification of uncertainties in an elevator system, subjected to lateral vibration induced by the car guide rail irregularities, with and without a feedback control system. A mathematical model for the elevator system is derived, and a stochastic model for the rail profile irregularities is constructed. This model of uncertainties describes the rail profile as a random field, which is represented by means of Karhunen-Loeve expansion. Polynomial chaos is employed to compute the propagation of uncertainties through the stochastic model, in order to evaluate the disturbance rejection properties and robustness of the closed-loop system.

Original language	English
Pages (from-to)	1629-1634
Journal	Procedia Engineering
Volume	199
Early online date	12 Sept 2017
DOIs	https://doi.org/10.1016/j.proeng.2017.09.083
Publication status	E-pub ahead of print - 12 Sept 2017

Keywords

Elevator systems
nonlinear dynamics
uncertainty quantification
polynomial chaos

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10.1016/j.proeng.2017.09.083Licence: CC BY-NC-ND

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title = "On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loeve approaches",

abstract = "The paper deals with the quantification of uncertainties in an elevator system, subjected to lateral vibration induced by the car guide rail irregularities, with and without a feedback control system. A mathematical model for the elevator system is derived, and a stochastic model for the rail profile irregularities is constructed. This model of uncertainties describes the rail profile as a random field, which is represented by means of Karhunen-Loeve expansion. Polynomial chaos is employed to compute the propagation of uncertainties through the stochastic model, in order to evaluate the disturbance rejection properties and robustness of the closed-loop system.",

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author = "Diego Colon and {Cunha Jr}, Americo and Stefan Kaczmarczyk and Jose Balthazar",

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AU - Colon, Diego

AU - Cunha Jr, Americo

AU - Kaczmarczyk, Stefan

AU - Balthazar, Jose

PY - 2017/9/12

Y1 - 2017/9/12

N2 - The paper deals with the quantification of uncertainties in an elevator system, subjected to lateral vibration induced by the car guide rail irregularities, with and without a feedback control system. A mathematical model for the elevator system is derived, and a stochastic model for the rail profile irregularities is constructed. This model of uncertainties describes the rail profile as a random field, which is represented by means of Karhunen-Loeve expansion. Polynomial chaos is employed to compute the propagation of uncertainties through the stochastic model, in order to evaluate the disturbance rejection properties and robustness of the closed-loop system.

AB - The paper deals with the quantification of uncertainties in an elevator system, subjected to lateral vibration induced by the car guide rail irregularities, with and without a feedback control system. A mathematical model for the elevator system is derived, and a stochastic model for the rail profile irregularities is constructed. This model of uncertainties describes the rail profile as a random field, which is represented by means of Karhunen-Loeve expansion. Polynomial chaos is employed to compute the propagation of uncertainties through the stochastic model, in order to evaluate the disturbance rejection properties and robustness of the closed-loop system.

KW - Elevator systems

KW - nonlinear dynamics

KW - uncertainty quantification

KW - polynomial chaos

UR - http://www.sciencedirect.com/science/article/pii/S1877705817335191

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DO - 10.1016/j.proeng.2017.09.083

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VL - 199

SP - 1629

EP - 1634

JO - Procedia Engineering

JF - Procedia Engineering

ER -

On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loeve approaches

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Keywords

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