An optimal control method for time-delay feedback control of 1/4 vehicle active suspension under random excitation

Time-delay feedback control can effectively broaden the damping frequency band and improve the damping efficiency. However, the existing time-delay feedback control strategy has no obvious effect on multi-frequency random excitation vibration reduction control. That is, when the frequency of externa...

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Main Authors: Kaiwei Wu, Chuanbo Ren, Yuanchang Chen
Format: Article
Language:English
Published: SAGE Publishing 2022-06-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/14613484211059262
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author Kaiwei Wu
Chuanbo Ren
Yuanchang Chen
author_facet Kaiwei Wu
Chuanbo Ren
Yuanchang Chen
author_sort Kaiwei Wu
collection DOAJ
description Time-delay feedback control can effectively broaden the damping frequency band and improve the damping efficiency. However, the existing time-delay feedback control strategy has no obvious effect on multi-frequency random excitation vibration reduction control. That is, when the frequency of external excitation is more complicated, there is no better way to obtain the best time-delay feedback control parameters. To overcome this issue, this paper is the first work of proposing an optimal calculation method that introduces stochastic excitation into the process of solving the delay feedback control parameters. It is a time-delay control parameter with a better damping effect for random excitation. In this paper, a 2 DOF one-quarter vehicle suspension model with time-delay is studied. First, the stability interval of time-delay feedback control parameters is solved by using the Lyapunov stability theory. Second, the optimal control parameters of the time-delay feedback control under random excitation are solved by particle swarm optimization (PSO). Finally, the simulation models of a one-quarter vehicle suspension simulation model are established. Random excitation and harmonic excitation are used as inputs. The response of the vehicle body under the frequency domain damping control method and the proposed control method is compared and simulated. To make the control precision higher and the solution speed faster, this paper simulates the model by using the precise integration method of transient history. The simulation results show that the acceleration of the vehicle body in the proposed control method is 13.05% less than the passive vibration absorber under random excitation. Compared with the time-delay feedback control optimized by frequency response function, the damping effect is 12.99%. The results show that the vibration displacement, vibration velocity, and vibration acceleration of the vehicle body are better than the frequency domain function optimization method, whether it is harmonic excitation or random excitation. The ride comfort of the vehicle is improved obviously. It provides a valuable tool for time-delay vibration reduction control under random excitation.
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spelling doaj.art-8e272e8dce3145eba6095d05d4b97ae42022-12-22T02:35:49ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462022-06-014110.1177/14613484211059262An optimal control method for time-delay feedback control of 1/4 vehicle active suspension under random excitationKaiwei WuChuanbo RenYuanchang ChenTime-delay feedback control can effectively broaden the damping frequency band and improve the damping efficiency. However, the existing time-delay feedback control strategy has no obvious effect on multi-frequency random excitation vibration reduction control. That is, when the frequency of external excitation is more complicated, there is no better way to obtain the best time-delay feedback control parameters. To overcome this issue, this paper is the first work of proposing an optimal calculation method that introduces stochastic excitation into the process of solving the delay feedback control parameters. It is a time-delay control parameter with a better damping effect for random excitation. In this paper, a 2 DOF one-quarter vehicle suspension model with time-delay is studied. First, the stability interval of time-delay feedback control parameters is solved by using the Lyapunov stability theory. Second, the optimal control parameters of the time-delay feedback control under random excitation are solved by particle swarm optimization (PSO). Finally, the simulation models of a one-quarter vehicle suspension simulation model are established. Random excitation and harmonic excitation are used as inputs. The response of the vehicle body under the frequency domain damping control method and the proposed control method is compared and simulated. To make the control precision higher and the solution speed faster, this paper simulates the model by using the precise integration method of transient history. The simulation results show that the acceleration of the vehicle body in the proposed control method is 13.05% less than the passive vibration absorber under random excitation. Compared with the time-delay feedback control optimized by frequency response function, the damping effect is 12.99%. The results show that the vibration displacement, vibration velocity, and vibration acceleration of the vehicle body are better than the frequency domain function optimization method, whether it is harmonic excitation or random excitation. The ride comfort of the vehicle is improved obviously. It provides a valuable tool for time-delay vibration reduction control under random excitation.https://doi.org/10.1177/14613484211059262
spellingShingle Kaiwei Wu
Chuanbo Ren
Yuanchang Chen
An optimal control method for time-delay feedback control of 1/4 vehicle active suspension under random excitation
Journal of Low Frequency Noise, Vibration and Active Control
title An optimal control method for time-delay feedback control of 1/4 vehicle active suspension under random excitation
title_full An optimal control method for time-delay feedback control of 1/4 vehicle active suspension under random excitation
title_fullStr An optimal control method for time-delay feedback control of 1/4 vehicle active suspension under random excitation
title_full_unstemmed An optimal control method for time-delay feedback control of 1/4 vehicle active suspension under random excitation
title_short An optimal control method for time-delay feedback control of 1/4 vehicle active suspension under random excitation
title_sort optimal control method for time delay feedback control of 1 4 vehicle active suspension under random excitation
url https://doi.org/10.1177/14613484211059262
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