Baleanu, DumitruUllah, Malik ZakaMallawi, FouadBaleanu, DumitruAlshomrani, Ali Saleh2020-04-302020-04-302020Ullah, M.Z...et al. (2020). "A New Fractional Study On the Chaotic Vibration and State-Feedback Control of A Nonlinear Suspension System", Chaos, Solitons and Fractals, Vol. 132.9600779https://hdl.handle.net/20.500.12416/3568This 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.eninfo:eu-repo/semantics/closedAccessChaotic VibrationFractional CalculusMittag–Leffler KernelMR DamperState-Feedback ControlArticle13210.1016/j.chaos.2019.109530