Ullah, Malik ZakaBaleanu, DumitruMallawi, FouadBaleanu, DumitruAlshomrani, Ali SalehMatematik2020-04-302020-04-302020Ullah, 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. 132.0960-07791873-2887https://doi.org/10.1016/j.chaos.2019.109530Ullah, Malik Zaka/0000-0003-2944-0352This 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. (C) 2019 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional CalculusMittag-Leffler KernelMr DamperChaotic VibrationState-Feedback ControlArticle13210.1016/j.chaos.2019.1095302-s2.0-85076718299WOS:000520892500008Q1Q1