On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.author | Sajjadi, Samaneh Sadat | |
dc.contributor.author | Jajarmi, Amin | |
dc.contributor.author | Defterli, Özlem | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2022-10-06T12:09:33Z | |
dc.date.available | 2022-10-06T12:09:33Z | |
dc.date.issued | 2021 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In this paper, we aim to analyze the complicated dynamical motion of a quarter-car suspension system with a sinusoidal road excitation force. First, we consider a new mathematical model in the form of fractional-order differential equations. In the proposed model, we apply the Caputo–Fabrizio fractional operator with exponential kernel. Then to solve the related equations, we suggest a quadratic numerical method and prove its stability and convergence. A deep investigation in the framework of time-domain response and phase-portrait shows that both the chaotic and nonchaotic behaviors of the considered system can be identified by the fractional-order mathematical model. Finally, we present a state-feedback controller and a chaos optimal control to overcome the system chaotic oscillations. Simulation results demonstrate the effectiveness of the proposed modeling and control strategies. | en_US |
dc.description.publishedMonth | 12 | |
dc.identifier.citation | Baleanu, Dumitru...et al. (2021). "On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
dc.identifier.doi | 10.1186/s13662-021-03393-x | |
dc.identifier.issn | 1687-1839 | |
dc.identifier.issue | 1 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/5805 | |
dc.identifier.volume | 2021 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Advances in Difference Equations | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Chaotic Oscillation | en_US |
dc.subject | Exponential Kernel | en_US |
dc.subject | Fractional Calculus | en_US |
dc.subject | Optimal Control | en_US |
dc.subject | Quarter-Car Suspension System | en_US |
dc.subject | State-Feedback Control | en_US |
dc.title | On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control | tr_TR |
dc.title | On a Nonlinear Dynamical System With Both Chaotic and Nonchaotic Behaviors: a New Fractional Analysis and Control | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |