Analysis and Control of Chaos in Nonlinear Gear System using Predictive Sliding Mode Control
This paper presents a control system for elimination of chaotic behaviors in spur gear system. To this end, at first different aspects of chaos are investigated by means of numerical tools including time series response, phase plane trajectories, bifurcation diagram, Poincare’ section, Lyapunov expo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University-Isfahan (Khorasgan) Branch
2022-06-01
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| Series: | International Journal of Advanced Design and Manufacturing Technology |
| Subjects: | |
| Online Access: | https://admt.isfahan.iau.ir/article_691497_c211660f00aec14f80fc0298a7f7a8d2.pdf |
| _version_ | 1797657356419465216 |
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| author | Nima Valadbeigi Seyed Mahdi Abtahi |
| author_facet | Nima Valadbeigi Seyed Mahdi Abtahi |
| author_sort | Nima Valadbeigi |
| collection | DOAJ |
| description | This paper presents a control system for elimination of chaotic behaviors in spur gear system. To this end, at first different aspects of chaos are investigated by means of numerical tools including time series response, phase plane trajectories, bifurcation diagram, Poincare’ section, Lyapunov exponent and power spectrum density. The nonlinear dynamic model encompasses constant mesh stiffness and damping along the line of action, static transmission error and backlash. In order to suppress the chaotic oscillations, a novel controller on the basis of the Predictive Sliding Mode Control (PSMC) is proposed in which the sliding surface is predicted by the use of model predictive control theory and the control input is obtained. Consequently, the control system takes advantage of the both approaches in developing a robust controller. The simulation results of the feedback system depict the effectiveness of the controller in elimination of the chaotic vibrations along with reduction of settling time, overshoots, and energy consumption. Furthermore, stability and robustness of the system are guaranteed. |
| first_indexed | 2024-03-11T17:43:18Z |
| format | Article |
| id | doaj.art-e0de9ca33fd849b093a395af367c53ff |
| institution | Directory Open Access Journal |
| issn | 2252-0406 2383-4447 |
| language | English |
| last_indexed | 2024-03-11T17:43:18Z |
| publishDate | 2022-06-01 |
| publisher | Islamic Azad University-Isfahan (Khorasgan) Branch |
| record_format | Article |
| series | International Journal of Advanced Design and Manufacturing Technology |
| spelling | doaj.art-e0de9ca33fd849b093a395af367c53ff2023-10-18T08:43:48ZengIslamic Azad University-Isfahan (Khorasgan) BranchInternational Journal of Advanced Design and Manufacturing Technology2252-04062383-44472022-06-011529710410.30486/admt.2022.1949735.1333691497Analysis and Control of Chaos in Nonlinear Gear System using Predictive Sliding Mode ControlNima Valadbeigi0Seyed Mahdi Abtahi1Department of Mechanical Engineering, Industrial and Mechanics Faculty, Qazvin Islamic Azad University, IranDepartment of Mechanical Engineering, Industrial and Mechanics Faculty, Qazvin Islamic Azad University, IranThis paper presents a control system for elimination of chaotic behaviors in spur gear system. To this end, at first different aspects of chaos are investigated by means of numerical tools including time series response, phase plane trajectories, bifurcation diagram, Poincare’ section, Lyapunov exponent and power spectrum density. The nonlinear dynamic model encompasses constant mesh stiffness and damping along the line of action, static transmission error and backlash. In order to suppress the chaotic oscillations, a novel controller on the basis of the Predictive Sliding Mode Control (PSMC) is proposed in which the sliding surface is predicted by the use of model predictive control theory and the control input is obtained. Consequently, the control system takes advantage of the both approaches in developing a robust controller. The simulation results of the feedback system depict the effectiveness of the controller in elimination of the chaotic vibrations along with reduction of settling time, overshoots, and energy consumption. Furthermore, stability and robustness of the system are guaranteed.https://admt.isfahan.iau.ir/article_691497_c211660f00aec14f80fc0298a7f7a8d2.pdfbifurcation diagramchaos analysischaotic vibrationgearbox systempredictive sliding mode control |
| spellingShingle | Nima Valadbeigi Seyed Mahdi Abtahi Analysis and Control of Chaos in Nonlinear Gear System using Predictive Sliding Mode Control International Journal of Advanced Design and Manufacturing Technology bifurcation diagram chaos analysis chaotic vibration gearbox system predictive sliding mode control |
| title | Analysis and Control of Chaos in Nonlinear Gear System using Predictive Sliding Mode Control |
| title_full | Analysis and Control of Chaos in Nonlinear Gear System using Predictive Sliding Mode Control |
| title_fullStr | Analysis and Control of Chaos in Nonlinear Gear System using Predictive Sliding Mode Control |
| title_full_unstemmed | Analysis and Control of Chaos in Nonlinear Gear System using Predictive Sliding Mode Control |
| title_short | Analysis and Control of Chaos in Nonlinear Gear System using Predictive Sliding Mode Control |
| title_sort | analysis and control of chaos in nonlinear gear system using predictive sliding mode control |
| topic | bifurcation diagram chaos analysis chaotic vibration gearbox system predictive sliding mode control |
| url | https://admt.isfahan.iau.ir/article_691497_c211660f00aec14f80fc0298a7f7a8d2.pdf |
| work_keys_str_mv | AT nimavaladbeigi analysisandcontrolofchaosinnonlineargearsystemusingpredictiveslidingmodecontrol AT seyedmahdiabtahi analysisandcontrolofchaosinnonlineargearsystemusingpredictiveslidingmodecontrol |