A new fractional study on the chaotic vibration and state-feedback control of a nonlinear suspension system

Malik Zaka Ullah, Fouad Mallawi, Dumitru Baleanu and Ali Saleh Alshomrani

Chaos, Solitons & Fractals, 2020, vol. 132, issue C

Abstract: This paper aims to establish a new fractional model to identify the complex behaviors of a magnetorheological suspension system under the road excitation of sinusoidal function. In the new model, we employ a recently introduced fractional operator with Mittag–Leffler kernel. To implement the model, we develop an efficient approximation scheme and discuss its stability and convergence analysis. We identify the complex behaviors by using the analysis of time-domain responses and phase portraits. The results show that the new fractional model has a strong capability to identify different characteristics of the system under investigation, including chaotic and nonchaotic behaviors. Finally, to avoid the chaotic vibration, a state-feedback controller is designed and its efficiency is proved by some simulation experiments.

Keywords: Fractional calculus; Mittag–Leffler kernel; MR Damper; Chaotic vibration; State-feedback control (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919304813

DOI: 10.1016/j.chaos.2019.109530

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