A New Fractional Study on the Chaotic Vibration and State-Feedback Control of a Nonlinear Suspension System
| dc.contributor.author | Mallawi, Fouad | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alshomrani, Ali Saleh | |
| dc.contributor.author | Ullah, Malik Zaka | |
| dc.date.accessioned | 2020-04-30T20:02:39Z | |
| dc.date.accessioned | 2025-09-18T16:07:20Z | |
| dc.date.available | 2020-04-30T20:02:39Z | |
| dc.date.available | 2025-09-18T16:07:20Z | |
| dc.date.issued | 2020 | |
| dc.description | Ullah, Malik Zaka/0000-0003-2944-0352 | en_US |
| dc.description.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. (C) 2019 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah [D-309130-1441] | en_US |
| dc.description.sponsorship | This work was supported by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No. (D-309130-1441). The authors, therefore, gratefully acknowledge the DSR technical and financial support. | en_US |
| dc.identifier.citation | Ullah, 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. | en_US |
| dc.identifier.doi | 10.1016/j.chaos.2019.109530 | |
| dc.identifier.issn | 0960-0779 | |
| dc.identifier.issn | 1873-2887 | |
| dc.identifier.scopus | 2-s2.0-85076718299 | |
| dc.identifier.uri | https://doi.org/10.1016/j.chaos.2019.109530 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14740 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Chaos, Solitons & Fractals | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Mittag-Leffler Kernel | en_US |
| dc.subject | Mr Damper | en_US |
| dc.subject | Chaotic Vibration | en_US |
| dc.subject | State-Feedback Control | en_US |
| dc.title | A New Fractional Study on the Chaotic Vibration and State-Feedback Control of a Nonlinear Suspension System | en_US |
| dc.title | A New Fractional Study On the Chaotic Vibration and State-Feedback Control of A Nonlinear Suspension System | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ullah, Malik Zaka/0000-0003-2944-0352 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Alshomrani, Ali/Q-4236-2017 | |
| gdc.author.wosid | Ullah, Malik Zaka/H-2068-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ullah, Malik Zaka; Mallawi, Fouad; Alshomrani, Ali Saleh] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB,MG-23, R-76900 Magurele, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 109530 | |
| gdc.description.volume | 132 | en_US |
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| gdc.oaire.keywords | MR damper | |
| gdc.oaire.keywords | Stability for nonlinear problems in mechanics | |
| gdc.oaire.keywords | Mittag-Leffler kernel | |
| gdc.oaire.keywords | Stabilization of systems by feedback | |
| gdc.oaire.keywords | state-feedback control | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Stability and convergence of numerical methods for ordinary differential equations | |
| gdc.oaire.keywords | chaotic vibration | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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