Second-Order Predefined-Time Terminal Sliding Mode Control for Speed Regulation System of Permanent Magnet Synchronous Motor
In this paper, a second-order predefined-time terminal sliding mode (SPTSM) is proposed, which is investigated for the practical applications of the speed regulation system of a permanent magnet synchronous motor (PMSM) by using predefined-time stability theory and Lyapunov stability theory. At firs...
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MDPI AG
2025-03-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/3/180 |
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| author | Haibo Xue Xinghua Liu |
| author_facet | Haibo Xue Xinghua Liu |
| author_sort | Haibo Xue |
| collection | DOAJ |
| description | In this paper, a second-order predefined-time terminal sliding mode (SPTSM) is proposed, which is investigated for the practical applications of the speed regulation system of a permanent magnet synchronous motor (PMSM) by using predefined-time stability theory and Lyapunov stability theory. At first, we propose the SPTSM, which involves the controller’s design by using the novel reaching law with predefined-time terminal sliding mode (PTSM) and the novel sliding mode surface with PTSM. Second, we derive the novel SPTSM controller for the universal second-order nonlinear single-input single-output (SISO) system and the practical applications of the speed regulation system of the PMSM separately. Then, numerical simulation results of the speed regulation system of the PMSM are also included to check the effect of the theoretical results and the corresponding parameters on the convergence rates, so that the results can be guidance for the selection of SPTSM controller parameters. Finally, the dynamic responsiveness and robustness of the system are validated through numerical simulations and experimental results. It has been observed that the robust SPTSM controller, which is designed with the PTSM-PTSM, referring to the sliding mode that involves a reaching law with PTSM and a sliding mode surface with PTSM, exhibits superior performance. |
| format | Article |
| id | doaj-art-24e3dfee04e34bb39dd52bb192ef0722 |
| institution | Kabale University |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-24e3dfee04e34bb39dd52bb192ef07222025-08-20T03:43:31ZengMDPI AGFractal and Fractional2504-31102025-03-019318010.3390/fractalfract9030180Second-Order Predefined-Time Terminal Sliding Mode Control for Speed Regulation System of Permanent Magnet Synchronous MotorHaibo Xue0Xinghua Liu1School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, ChinaIn this paper, a second-order predefined-time terminal sliding mode (SPTSM) is proposed, which is investigated for the practical applications of the speed regulation system of a permanent magnet synchronous motor (PMSM) by using predefined-time stability theory and Lyapunov stability theory. At first, we propose the SPTSM, which involves the controller’s design by using the novel reaching law with predefined-time terminal sliding mode (PTSM) and the novel sliding mode surface with PTSM. Second, we derive the novel SPTSM controller for the universal second-order nonlinear single-input single-output (SISO) system and the practical applications of the speed regulation system of the PMSM separately. Then, numerical simulation results of the speed regulation system of the PMSM are also included to check the effect of the theoretical results and the corresponding parameters on the convergence rates, so that the results can be guidance for the selection of SPTSM controller parameters. Finally, the dynamic responsiveness and robustness of the system are validated through numerical simulations and experimental results. It has been observed that the robust SPTSM controller, which is designed with the PTSM-PTSM, referring to the sliding mode that involves a reaching law with PTSM and a sliding mode surface with PTSM, exhibits superior performance.https://www.mdpi.com/2504-3110/9/3/180permanent magnet synchronous motor (PMSM)predefined-time terminal sliding mode (PTSM)second-order predefined-time terminal sliding mode (SPTSM)speed regulation systemnonlinear system |
| spellingShingle | Haibo Xue Xinghua Liu Second-Order Predefined-Time Terminal Sliding Mode Control for Speed Regulation System of Permanent Magnet Synchronous Motor Fractal and Fractional permanent magnet synchronous motor (PMSM) predefined-time terminal sliding mode (PTSM) second-order predefined-time terminal sliding mode (SPTSM) speed regulation system nonlinear system |
| title | Second-Order Predefined-Time Terminal Sliding Mode Control for Speed Regulation System of Permanent Magnet Synchronous Motor |
| title_full | Second-Order Predefined-Time Terminal Sliding Mode Control for Speed Regulation System of Permanent Magnet Synchronous Motor |
| title_fullStr | Second-Order Predefined-Time Terminal Sliding Mode Control for Speed Regulation System of Permanent Magnet Synchronous Motor |
| title_full_unstemmed | Second-Order Predefined-Time Terminal Sliding Mode Control for Speed Regulation System of Permanent Magnet Synchronous Motor |
| title_short | Second-Order Predefined-Time Terminal Sliding Mode Control for Speed Regulation System of Permanent Magnet Synchronous Motor |
| title_sort | second order predefined time terminal sliding mode control for speed regulation system of permanent magnet synchronous motor |
| topic | permanent magnet synchronous motor (PMSM) predefined-time terminal sliding mode (PTSM) second-order predefined-time terminal sliding mode (SPTSM) speed regulation system nonlinear system |
| url | https://www.mdpi.com/2504-3110/9/3/180 |
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