Design of Sensorless Control System for Permanent Magnet Linear Synchronous Motor Based on Parametric Optimization Super-Twisting Sliding Mode Observer
Abstract
:1. Introduction
- (1)
- Simplify the control structure. The system’s control structure is simplified by integrating the position loop and speed loop, and the position controller is developed using the CTSMC algorithm.
- (2)
- Improve tracking accuracy. The ST algorithm is designed and the PSO is used to optimize the sliding mode gain of the ST algorithm, and a set of optimal parameters is obtained to better realize the control performance of the algorithm.
- (3)
- System comparison and validation. By comparing the designed CTSMC with the SMC and TSMC systems, and by comparing the designed PSO super-twisting sliding mode control (PSO-ST-SMC) with the SMO, the advantage of the designed system is verified.
2. Mathematical Model of PMLSM
3. Position Controller Design
3.1. Design of the CTSMC Position Controller
3.2. Proof of Stability of CTSMC
4. Observer Design
4.1. Traditional SMO
4.2. ST Algorithm
4.3. PSO Algorithm
- (1)
- The PSO algorithm begins by initializing the particle swarm, which includes the population size, initial position and velocity of particles, and other relevant parameters.
- (2)
- It evaluates the fitness value of each particle based on its current position and velocity.
- (3)
- The fitness value of the particle is compared with the current best personal value, and the better value is chosen as the best personal value.
- (4)
- The best personal value of each particle is compared with the global extreme value, and the superior one is chosen as the global extreme value.
- (5)
- The particle position and velocity update according to the formula.
- (6)
- The PSO algorithm judges whether it meets the maximum number of iterations or the set termination condition. If either of these conditions is met, it exits the optimization process and outputs the optimal solution; if the conditions are not met, it returns to Step 2.
5. Simulation and Experiment
5.1. Comparison between Position Controllers
- (1)
- The change in the given reference position is 0.1 m–0.3 m.
- (2)
- Given a reference position of 0.2 m, load the system abruptly.
- (3)
- A sinusoidal wave with a fixed amplitude of 0.2 m is applied to the system.
- (1)
- The change in the given reference position is 0.1 m–0.3 m.
- (2)
- Given a reference position of 0.2 m, load the system abruptly.
- (3)
- A sinusoidal wave with a fixed amplitude of 0.2 m was given to add load to the system.
5.2. Comparison of Observers
5.3. Experiment
- (1)
- Controller Comparison (No-Load)
- (2)
- Controller Comparison (Load)
- (3)
- Observer Comparison
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
- Wang, M.-Y.; Niu, Y.-J.; Yang, R.; Tan, Q.; Jiang, J.-L.; Li, L.-Y. A Robust Double Closed-Loop Control Scheme for PMLSM Drives. IEEE Access 2018, 6, 62645–62654. [Google Scholar] [CrossRef]
- Wang, M.; Li, L.; Pan, D.; Tang, Y.; Guo, Q. High-Bandwidth and Strong Robust Current Regulation for PMLSM Drives Considering Thrust Ripple. IEEE Trans. Power Electron. 2016, 31, 6646–6657. [Google Scholar] [CrossRef]
- Chen, S.-Y.; Chiang, H.-H.; Liu, T.-S.; Chang, C.-H. Precision Motion Control of Permanent Magnet Linear Synchronous Motors Using Adaptive Fuzzy Fractional-Order Sliding-Mode Control. IEEE/ASME Tretalans. Mechatron. 2019, 24, 741–752. [Google Scholar] [CrossRef]
- Wang, M.-Y.; Yang, R.; Tan, Q.; Cao, J.-W.; Zhang, C.-M.; Li, L.-Y. A High-Bandwidth and Strong Robust Current Control Strategy for PMLSM Drives. IEEE Access 2018, 6, 40929–40939. [Google Scholar] [CrossRef]
- Zhao, K.; Yin, T.; Zhang, C.; He, J.; Li, X.; Chen, Y.; Zhou, R.; Leng, A. Robust Model-Free Nonsingular Terminal Sliding Mode Control for PMSM Demagnetization Fault. IEEE Access 2019, 7, 15737–15748. [Google Scholar] [CrossRef]
- Xu, W.; Liao, K.; Ge, J.; Qu, G.; Cheng, S.; Wang, A.; Boldea, I. Improved Position Sensorless Control for PMLSM via an Active Disturbance Rejection Controller and an Adaptive Full-Order Observer. IEEE Trans. Ind. Appl. 2023, 59, 1742–1753. [Google Scholar] [CrossRef]
- Song, J.; Niu, Y.; Zou, Y. Finite-Time Stabilization via Sliding Mode Control. IEEE Trans. Autom. Control 2017, 62, 1478–1483. [Google Scholar] [CrossRef]
- Zhang, X.; Su, H.; Lu, R. Second-Order Integral Sliding Mode Control for Uncertain Systems With Control Input Time Delay Based on Singular Perturbation Approach. IEEE Trans. Autom. Control 2015, 60, 3095–3310. [Google Scholar] [CrossRef]
- Amrr, S.M.; Alturki, A. Robust Control Design for an Active Magnetic Bearing System Using Advanced Adaptive SMC Technique. IEEE Access 2021, 9, 155662–155672. [Google Scholar] [CrossRef]
- Yu, X.; Fu, Y.; Li, P.; Zhang, Y. Fault-Tolerant Aircraft Control Based on Self-Constructing Fuzzy Neural Networks and Multivariable SMC Under Actuator Faults. IEEE Trans. Fuzzy Syst. 2018, 26, 2324–2335. [Google Scholar] [CrossRef] [Green Version]
- Zhao, X.; Fu, D. Adaptive Neural Network Nonsingular Fast Terminal Sliding Mode Control for Permanent Magnet Linear Synchronous Motor. IEEE Access 2019, 7, 180361–180372. [Google Scholar] [CrossRef]
- Wang, P.; Xu, Y.; Ding, R.; Liu, W.; Shu, S.; Yang, X. Multi-Kernel Neural Network Sliding Mode Control for Permanent Magnet Linear Synchronous Motors. IEEE Access 2021, 9, 57385–57392. [Google Scholar] [CrossRef]
- Fu, D.; Zhao, X. A Novel Robust Adaptive Nonsingular Fast Integral Terminal Sliding Mode Controller for Permanent Magnet Linear Synchronous Motors. IEEE J. Emerg. Sel. Top. Power Electron. 2022, 11, 1672–1683. [Google Scholar] [CrossRef]
- Yuan, H.; Zhao, X. Adaptive Jerk Control and Modified Parameter Estimation for PMLSM Servo System With Disturbance Attenuation Ability. IEEE/ASME Trans. Mechatron. 2023, 28, 164–174. [Google Scholar] [CrossRef]
- Wen, T.; Wang, Z.; Xiang, B.; Han, B.; Li, H. Sensorless Control of Segmented PMLSM for Long-Distance Auto-Transportation System Based on Parameter Calibration. IEEE Access 2020, 8, 102467–102476. [Google Scholar] [CrossRef]
- Yang, C.; Ma, T.; Che, Z.; Zhou, L. An Adaptive-Gain Sliding Mode Observer for Sensorless Control of Permanent Magnet Linear Synchronous Motors. IEEE Access 2018, 6, 3469–3478. [Google Scholar] [CrossRef]
- Sun, X.; Wu, M.; Yin, C.; Wang, S.; Tian, X. Multiple-Iteration Search Sensorless Control for Linear Motor in Vehicle Regenerative Suspension. IEEE Trans. Transp. Electrif. 2021, 7, 1628–1637. [Google Scholar] [CrossRef]
- Cheng, H.; Sun, S.; Zhou, X.; Shao, D.; Mi, S.; Hu, Y. Sensorless DPCC of PMLSM Using SOGI-PLL-Based High-Order SMO With Cogging Force Feedforward Compensation. IEEE Trans. Transp. Electrif. 2022, 8, 1094–1104. [Google Scholar] [CrossRef]
- Yang, R.; Li, L.-Y.; Wang, M.-Y.; Zhang, C.-M.; Zeng-Gu, Y.-M. Force Ripple Estimation and Compensation of PMLSM With Incremental Extended State Modeling-Based Kalman Filter: A Practical Tuning Method. IEEE Access 2019, 7, 108331–108342. [Google Scholar] [CrossRef]
- Wang, F.; He, L.; Kang, J.; Kennel, R.; Rodríguez, J. Adaptive Model Predictive Current Control for PMLSM Drive System. IEEE Trans. Ind. Electron. 2023, 70, 3493–3502. [Google Scholar] [CrossRef]
- Ye, J.; Yang, J.; Xie, D.; Huang, B.; Cai, H. Strong Robust and Optimal Chaos Control for Permanent Magnet Linear Synchronous Motor. IEEE Access 2019, 7, 57907–57916. [Google Scholar] [CrossRef]
- Cho, K.; Kim, J.; Choi, S.B.; Oh, S. A High-Precision Motion Control Based on a Periodic Adaptive Disturbance Observer in a PMLSM. IEEE/ASME Trans. Mechatron. 2015, 20, 2158–2171. [Google Scholar] [CrossRef]
- El-Sousy, F.F.M.; Abuhasel, K.A. Adaptive Nonlinear Disturbance Observer Using a Double-Loop Self-Organizing Recurrent Wavelet Neural Network for a Two-Axis Motion Control System. IEEE Trans. Ind. Appl. 2018, 54, 764–786. [Google Scholar] [CrossRef]
- Xu, D.; Ding, B.; Jiang, B.; Yang, W.; Shi, P. Nonsingular Fast Terminal Sliding Mode Control for Permanent Magnet Linear Synchronous Motor via High-Order Super-Twisting Observer. IEEE/ASME Trans. Mechatron. 2022, 27, 1651–1659. [Google Scholar] [CrossRef]
- Yang, R.; Wang, M.; Li, L.; Zenggu, Y.; Jiang, J. Integrated Uncertainty/Disturbance Compensation With Second-Order Sliding-Mode Observer for PMLSM-Driven Motion Stage. IEEE Trans. Power Electron. 2019, 34, 2597–2607. [Google Scholar] [CrossRef]
Parameter | Numerical Value |
---|---|
Stator resistance, Rs/Ω | 2.6 |
d-q axis inductance, Ldq/mH | 6.27 |
Moving mass, m/kg | 1.425 |
Coefficient of viscous friction, B/N/m⋅s | 0.2 |
Pole distance, τ/m | 0.018 |
Flux link, wb | 0.24 |
DC Bus Voltage, U/V | 48 |
Algorithm | k1 | k2 | ƒ (Swarm) |
---|---|---|---|
PSO | 400.59 | 248.42 | 0.571 |
Error Type | SMC | TSMC | CTSMC |
---|---|---|---|
Expected trajectory | Step | Step | Step |
Overshoot (m) | 0.0035 | 0.0021 | 0.0009 |
Maximum error (m) | 0.0042 | 0.0031 | 0.0015 |
Average error (m) | 0.0037 | 0.0029 | 0.0012 |
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Du, S.; Wang, S.; Wang, Y.; Jia, L.; Sun, W.; Liu, Y. Design of Sensorless Control System for Permanent Magnet Linear Synchronous Motor Based on Parametric Optimization Super-Twisting Sliding Mode Observer. Electronics 2023, 12, 2553. https://doi.org/10.3390/electronics12122553
Du S, Wang S, Wang Y, Jia L, Sun W, Liu Y. Design of Sensorless Control System for Permanent Magnet Linear Synchronous Motor Based on Parametric Optimization Super-Twisting Sliding Mode Observer. Electronics. 2023; 12(12):2553. https://doi.org/10.3390/electronics12122553
Chicago/Turabian StyleDu, Shenhui, Shaohua Wang, Yao Wang, Liangguan Jia, Weisong Sun, and Yang Liu. 2023. "Design of Sensorless Control System for Permanent Magnet Linear Synchronous Motor Based on Parametric Optimization Super-Twisting Sliding Mode Observer" Electronics 12, no. 12: 2553. https://doi.org/10.3390/electronics12122553