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 JournalArticle


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
Early online date12 Sep 2017
Publication statusE-pub ahead of print - 12 Sep 2017



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

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