On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loève 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-Loèeve 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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Submitted on : Tuesday, September 19, 2017 - 10:05:53 PM
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Diego Colón, Americo Cunha Jr, Stefan Kaczmarczyk, José Manoel Balthazar. On dynamic analysis and control of an elevator system using polynomial chaos and Karhunen-Loève approaches. Procedia Engineering, Elsevier, 2017, 199, pp.1629-1634. ⟨10.1016/j.proeng.2017.09.083⟩. ⟨hal-01590666⟩

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