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 journalArticleResearchpeer-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 languageEnglish
Pages (from-to)1629-1634
JournalProcedia Engineering
Volume199
Early online date12 Sep 2017
DOIs
Publication statusE-pub ahead of print - 12 Sep 2017

Fingerprint

Elevators
Chaos theory
Dynamic analysis
Rails
Polynomials
Stochastic models
Disturbance rejection
Robustness (control systems)
Closed loop systems
Feedback control
Railroad cars
Mathematical models
Control systems
Uncertainty

Keywords

  • Elevator systems
  • nonlinear dynamics
  • uncertainty quantification
  • polynomial chaos

Cite this

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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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On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loeve approaches. / Colon, Diego; Cunha Jr, Americo; Kaczmarczyk, Stefan; Balthazar, Jose.

In: Procedia Engineering, Vol. 199, 12.09.2017, p. 1629-1634.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loeve approaches

AU - Colon, Diego

AU - Cunha Jr, Americo

AU - Kaczmarczyk, Stefan

AU - Balthazar, Jose

PY - 2017/9/12

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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.

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KW - uncertainty quantification

KW - polynomial chaos

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