A Fractional-Order Nonlinear Backstepping Controller Design for Current-Controlled Maglev System
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911438792032256 |
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| author | Astekin, Dorukhan Adıgüzel, Fatih |
| author_facet | Astekin, Dorukhan Adıgüzel, Fatih |
| contents | The magnetic levitation system (Maglev) is a nonlinear system by which an object is suspended with no support other than magnetic fields. The main control perspective of the Maglev system is to levitate a steel ball in air by the electromagnetic force. However, the Maglev system has highly nonlinear dynamics which is inconvenient in the sense of sensitive control/regulation of its nonlinear dynamics. In this paper, the nonlinear backstepping controller based on the fractional-order derivative is proposed for the control of the nonlinear current-controlled Maglev system. After, the system dynamics and fractional-order backstepping controller design are given, the asymptotic stability of the closed-loop system is proved by employing the Lyapunov theory. Some computer-based numerical experiments are carried out to show the effectiveness of the proposed controller for the control of Maglev system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04595 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Fractional-Order Nonlinear Backstepping Controller Design for Current-Controlled Maglev System Astekin, Dorukhan Adıgüzel, Fatih Systems and Control The magnetic levitation system (Maglev) is a nonlinear system by which an object is suspended with no support other than magnetic fields. The main control perspective of the Maglev system is to levitate a steel ball in air by the electromagnetic force. However, the Maglev system has highly nonlinear dynamics which is inconvenient in the sense of sensitive control/regulation of its nonlinear dynamics. In this paper, the nonlinear backstepping controller based on the fractional-order derivative is proposed for the control of the nonlinear current-controlled Maglev system. After, the system dynamics and fractional-order backstepping controller design are given, the asymptotic stability of the closed-loop system is proved by employing the Lyapunov theory. Some computer-based numerical experiments are carried out to show the effectiveness of the proposed controller for the control of Maglev system. |
| title | A Fractional-Order Nonlinear Backstepping Controller Design for Current-Controlled Maglev System |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2502.04595 |