Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position System
The significant role for a contemporary control algorithm in the position control of a permanent magnet linear motor (PMLM) system is highlighted by the rigorous standards for accuracy in many modern industrial and robotics applications. A robust predefined time convergent sliding mode controller (P...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/12/4/813 |
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| author | Saleem Riaz Chun-Wu Yin Rong Qi Bingqiang Li Sadia Ali Khurram Shehzad |
| author_facet | Saleem Riaz Chun-Wu Yin Rong Qi Bingqiang Li Sadia Ali Khurram Shehzad |
| author_sort | Saleem Riaz |
| collection | DOAJ |
| description | The significant role for a contemporary control algorithm in the position control of a permanent magnet linear motor (PMLM) system is highlighted by the rigorous standards for accuracy in many modern industrial and robotics applications. A robust predefined time convergent sliding mode controller (PreDSMC) is designed for the high precision position tracking of a permanent magnet linear motor (PMLM) system with external disturbance, and its convergence time is independent of the system’s initial value and model parameters. We verified theoretically that the performance function conditions are satisfied, the motor speed is steady and constrained, and the motor position tracking error converges to zero within the prescribed time. First, we designed a sliding mode (SM) surface with predetermined time convergence, which mathematically demonstrates that the tracking error converges to zero within the predefined time and shows that the position tracking accuracy is higher. Secondly, we developed a PreDSMC law that is independent of initial state and based on the predefined time convergence Lyapunov stability criterion. Finally, to prove the accuracy and higher precision of the proposed PreDSMC, comparative numerical simulations are performed for PMLM with compound disturbances. Simulation findings show that the suggested robust predefined control method considerably reduces the impacts of friction and external disturbances; consequently, it may increase the control performance when compared to the typical proportional integral derivative (PID) controller, the nonsingular fast terminal SMC, and the linear SMC. |
| first_indexed | 2024-03-11T08:55:02Z |
| format | Article |
| id | doaj.art-8110cc8fe1474088a98e71887d938ec4 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-11T08:55:02Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-8110cc8fe1474088a98e71887d938ec42023-11-16T20:10:26ZengMDPI AGElectronics2079-92922023-02-0112481310.3390/electronics12040813Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position SystemSaleem Riaz0Chun-Wu Yin1Rong Qi2Bingqiang Li3Sadia Ali4Khurram Shehzad5School of Automation, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Information and Control Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710072, ChinaDepartment of Electrical and Computer Engineering, International Islamic University, Islamabad 04436, PakistanDepartment of Electrical and Computer Engineering, COMSATS University, Islamabad 22060, PakistanThe significant role for a contemporary control algorithm in the position control of a permanent magnet linear motor (PMLM) system is highlighted by the rigorous standards for accuracy in many modern industrial and robotics applications. A robust predefined time convergent sliding mode controller (PreDSMC) is designed for the high precision position tracking of a permanent magnet linear motor (PMLM) system with external disturbance, and its convergence time is independent of the system’s initial value and model parameters. We verified theoretically that the performance function conditions are satisfied, the motor speed is steady and constrained, and the motor position tracking error converges to zero within the prescribed time. First, we designed a sliding mode (SM) surface with predetermined time convergence, which mathematically demonstrates that the tracking error converges to zero within the predefined time and shows that the position tracking accuracy is higher. Secondly, we developed a PreDSMC law that is independent of initial state and based on the predefined time convergence Lyapunov stability criterion. Finally, to prove the accuracy and higher precision of the proposed PreDSMC, comparative numerical simulations are performed for PMLM with compound disturbances. Simulation findings show that the suggested robust predefined control method considerably reduces the impacts of friction and external disturbances; consequently, it may increase the control performance when compared to the typical proportional integral derivative (PID) controller, the nonsingular fast terminal SMC, and the linear SMC.https://www.mdpi.com/2079-9292/12/4/813nonlinear controlrobust sliding mode controlpredefined time sliding mode controlpermanent magnet linear motor system |
| spellingShingle | Saleem Riaz Chun-Wu Yin Rong Qi Bingqiang Li Sadia Ali Khurram Shehzad Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position System Electronics nonlinear control robust sliding mode control predefined time sliding mode control permanent magnet linear motor system |
| title | Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position System |
| title_full | Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position System |
| title_fullStr | Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position System |
| title_full_unstemmed | Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position System |
| title_short | Design of Predefined Time Convergent Sliding Mode Control for a Nonlinear PMLM Position System |
| title_sort | design of predefined time convergent sliding mode control for a nonlinear pmlm position system |
| topic | nonlinear control robust sliding mode control predefined time sliding mode control permanent magnet linear motor system |
| url | https://www.mdpi.com/2079-9292/12/4/813 |
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