Fractional delayed feedback for semi-active suspension control of nonlinear jumping quarter car model

Masahisa Watanabe and Awadhesh Prasad

Chaos, Solitons & Fractals, 2025, vol. 199, issue P3

Abstract: Off-road vehicles often experience severe vibrations caused by jumping. These impact dynamics demonstrate rich nonlinear behaviors, including chaotic vibrations, which are undesirable in vehicle performances. Semi-active suspensions are a promising method to eliminate chaos because of their lower energy consumption. However, semi-active suspensions impose passivity constraints that require robust controllers. In this study, a fractional delayed feedback (DF) control is proposed for a semi-active suspension. A quarter car model with jumping nonlinearity is considered as a typical off-road vehicle model. The performance and applicability of the proposed fractional DF are numerically analyzed. Performance analysis revealed that fractional DF effectively stabilized chaos into periodic motion in the presence of passivity constraints owing to the semi-active suspension. The stabilization range is affected by the controller parameters, particularly the fractional order. The applicability analysis revealed that the fractional DF is robust to forcing frequency variations and noise contamination. The results demonstrate that fractional DF has higher applicability in semi-active suspensions than conventional DF.

Keywords: Quarter car model; Chaos; Delayed feedback control; Fractional derivative; Semi-active suspension; Impact dynamics (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p3:s0960077925009865

DOI: 10.1016/j.chaos.2025.116973

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