A discrete nonlinear tracking-differentiator and its application in vibration suppression of Maglev system
type: Item
instance of: scholarly article
title: A discrete nonlinear tracking-differentiator and its application in vibration suppression of Maglev system
zbMATH Open document ID: 1459.93046
DOI: 10.1155/2020/1849816
author: D. Kharzeev
published in: Mathematical Problems in Engineering
publication date: 2020-07-13T00:00:00Z
review text: Summary: Vibration of the maglev train levitation system is harmful to riding comfort and safety. The signal processing method is effective in vibration control. In this paper, a novel kind of second-order nonlinear tracking differentiator is proposed and applied to suppress the vibration phenomenon. The switching curves of the second-order discrete time optimal control system are presented by the isochronous region method. A synthetic function is acquired depending on the cases whether a point in the phase plane can reach the switching curves within one sample step. The discrete form of tracking differentiator is constructed based on the position relationship between the state point and the characteristic curves. Numerical simulation shows that this discrete tracking differentiator can quickly track an input signal without overshoot and chattering and can produce a good differential signal. A test in a maglev test bench also demonstrates the effectiveness of the tracking differentiator in the suppression of the track-train vibration.
Mathematics Subject Classification ID: 93B50
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 49K21
Mathematics Subject Classification ID: 49N35
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 94C60
zbMATH DE Number: 7219915
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/1849816
OpenAlex ID: W3036154309
cites work: Q4499016
cites work: Q3428212
cites work: Q3052113
description: scientific article; zbMATH DE number 7219915