We investigated the horizontal response of a vertical transportation with nonlinearities under excitation by guide rail deformations.A LQR control strategy was used in order to improve the comfort of passengers.To this end, a magnetorheological damper (MR damper) was used.The control force of the damper is a function of the voltage applied in the coil of the MR damper that is based on the force given by the controller.Numerical simulations were performed to investigate the nonlinear behaviour of the adopted mathematical model.Moreover, other issues such as robustness of the control technique were evaluated considering parametric errors and noise measurement.The results show that the LQR control strategy using MR damper can be effective in reducing the vibration of the vertical transport.
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Tusset et al. (2017) studied this question.
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