A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMs
Motivated by the fact that electrical transients are rather fast compared with mechanical response, the traditional cascade control structure constituted by the inner current and outer speed loops is usually employed in the permanent magnet synchronous motors (PMSMs) servo control community. Accordi...
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| Format: | Article |
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MDPI AG
2022-10-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/20/10500 |
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| author | Zhiyuan Che Haitao Yu Saleh Mobayen Murad Ali Andrzej Bartoszewicz Yassine Bouteraa |
| author_facet | Zhiyuan Che Haitao Yu Saleh Mobayen Murad Ali Andrzej Bartoszewicz Yassine Bouteraa |
| author_sort | Zhiyuan Che |
| collection | DOAJ |
| description | Motivated by the fact that electrical transients are rather fast compared with mechanical response, the traditional cascade control structure constituted by the inner current and outer speed loops is usually employed in the permanent magnet synchronous motors (PMSMs) servo control community. According to the above-mentioned time-scale characteristic of the PMSMs drive systems, this technique addresses the problems of the non-cascade sliding mode control (SMC) strategy for the surface-mounted PMSMs. Firstly, by appropriately introducing the singular perturbation theory, the corresponding mathematical equations are modeled as a singular perturbation system. Meanwhile, a composite sliding mode surface is constructed based on the Lyapunov equation, such that the system stability can be also guaranteed. Then, according to the exponential reaching law, a standard non-cascade SMC law is designed. Furthermore, an optimal nonlinear function-based tracking differentiator (TD) is presented to smooth the reference velocity value, while providing differential signals. As a result, a novel TD-based SMC strategy is synthesized by incorporating a nonlinear function, thus improving the inherent chattering phenomenon. Finally, a surface-mounted PMSM servo system is performed to illustrate the advantages and effectiveness of the proposed approaches. The main contribution of this paper is to present an alternative non-cascade SMC framework based on the singular perturbation approach, which provides a novel control structure for a PMSM speed regulation system. |
| first_indexed | 2024-03-09T20:46:21Z |
| format | Article |
| id | doaj.art-1d040817b34c4cb0aed88e4523aa9980 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T20:46:21Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-1d040817b34c4cb0aed88e4523aa99802023-11-23T22:45:41ZengMDPI AGApplied Sciences2076-34172022-10-0112201050010.3390/app122010500A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMsZhiyuan Che0Haitao Yu1Saleh Mobayen2Murad Ali3Andrzej Bartoszewicz4Yassine Bouteraa5School of Electrical Engineering, Southeast University, Nanjing 210096, ChinaSchool of Electrical Engineering, Southeast University, Nanjing 210096, ChinaMultidisciplinary Center for Infrastructure Engineering, Shenyang University of Technology, Shenyang 110870, ChinaSchool of Electrical Engineering, Southeast University, Nanjing 210096, ChinaInstitute of Automatic Control, Lodz University of Technology, 18 Stefanowskiego St., 90-537 Lodz, PolandCollege of Computer Engineering and Sciences, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaMotivated by the fact that electrical transients are rather fast compared with mechanical response, the traditional cascade control structure constituted by the inner current and outer speed loops is usually employed in the permanent magnet synchronous motors (PMSMs) servo control community. According to the above-mentioned time-scale characteristic of the PMSMs drive systems, this technique addresses the problems of the non-cascade sliding mode control (SMC) strategy for the surface-mounted PMSMs. Firstly, by appropriately introducing the singular perturbation theory, the corresponding mathematical equations are modeled as a singular perturbation system. Meanwhile, a composite sliding mode surface is constructed based on the Lyapunov equation, such that the system stability can be also guaranteed. Then, according to the exponential reaching law, a standard non-cascade SMC law is designed. Furthermore, an optimal nonlinear function-based tracking differentiator (TD) is presented to smooth the reference velocity value, while providing differential signals. As a result, a novel TD-based SMC strategy is synthesized by incorporating a nonlinear function, thus improving the inherent chattering phenomenon. Finally, a surface-mounted PMSM servo system is performed to illustrate the advantages and effectiveness of the proposed approaches. The main contribution of this paper is to present an alternative non-cascade SMC framework based on the singular perturbation approach, which provides a novel control structure for a PMSM speed regulation system.https://www.mdpi.com/2076-3417/12/20/10500permanent magnet synchronous motors (PMSMs)sliding mode control (SMC)singular perturbation approachnon-cascadetracking differentiator (TD)composite sliding mode surface |
| spellingShingle | Zhiyuan Che Haitao Yu Saleh Mobayen Murad Ali Andrzej Bartoszewicz Yassine Bouteraa A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMs Applied Sciences permanent magnet synchronous motors (PMSMs) sliding mode control (SMC) singular perturbation approach non-cascade tracking differentiator (TD) composite sliding mode surface |
| title | A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMs |
| title_full | A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMs |
| title_fullStr | A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMs |
| title_full_unstemmed | A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMs |
| title_short | A Singular Perturbation Approach-Based Non-Cascade Sliding Mode Control for Surface-Mounted PMSMs |
| title_sort | singular perturbation approach based non cascade sliding mode control for surface mounted pmsms |
| topic | permanent magnet synchronous motors (PMSMs) sliding mode control (SMC) singular perturbation approach non-cascade tracking differentiator (TD) composite sliding mode surface |
| url | https://www.mdpi.com/2076-3417/12/20/10500 |
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