Feedback control for two-degree-of-freedom vibration system with fractional-order derivative damping

Autor: Canchang Liu, Chicheng Ma, Jilei Zhou, Lu Liu, Shuchang Yue, Qingmei Gong
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of Low Frequency Noise, Vibration and Active Control, Vol 37 (2018)
Druh dokumentu: article
ISSN: 1461-3484
2048-4046
14613484
DOI: 10.1177/1461348417725958
Popis: A two-degree-of-freedom nonlinear vibration system of a quarter vehicle suspension system is studied by using the feedback control method considered the fractional-order derivative damping. The nonlinear dynamic model of two-degree-of-freedom vehicle suspension system is built and linear velocity and displacement controllers are used to control the nonlinear vibration of the vehicle suspension system. A case of the 1:1 internal resonance is considered. The amplitude–frequency response is obtained with the multiscale method. The asymptotic stability conditions of the nonlinear system can be gotten by using the Routh–Hurwitz criterion and the ranges of control parameters are gained in the condition of stable solutions to the system. The simulation results show that the feedback control can effectively reduce the amplitude of primary resonance, weaken or even eliminate the nonlinear vibration characteristics of the suspension system. Fractional orders have an impact on control performance, which should be considered in the control problem. The study will provide a theoretical basis and reference for the optimal design of the vehicle suspension system.
Databáze: Directory of Open Access Journals
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