Observer-Based Suboptimal Controller Design for Permanent Magnet Synchronous Motors: State-Dependent Riccati Equation Controller and Impulsive Observer Approaches
Abstract
:1. Introduction
- Developing a pseudo-linearised representation of the PMSM system.
- Designing a controller for optimal tracking of the PMSM’s reference speed with high accuracy and a quick speed without a speed sensor.
- Estimating motor speed in a sensorless framework.
- Addressing the challenge of disturbances during the course of the control.
- Maintaining the function of estimation and speed control during all times of sampling and not just at the impulse sample times.
- Quantifying the effects of impulse intervals (the sample rate) and load torque.
2. State-Dependent Riccati Equation
3. Impulsive Observer
- -
- , , in , and .
- -
- There is a , so and for all , and in , .
- -
- on when .
State-Dependent Impulsive Observer
4. Main Design: SDRE Controller Based on State-Dependent Impulsive Observer
5. Case Study: Permanent Magnet Synchronous Motor
6. Simulation Results and Discussions
6.1. The Main Simulation Results
6.2. The Effect of Impulse Intervals
6.3. The Effect of Load Torque
6.4. Comparisons
7. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Parameter | Value |
---|---|
Number of poles | |
Stator resistance | 0.0875 Ω |
Permanent magnetic flux | 1 Wb |
Inductance | |
Moment of inertia | |
Friction coefficient |
Metrices | Impulse Intervals (Δ(s)) | ||||
---|---|---|---|---|---|
45.6892 | 128.6873 | 177.1134 | 301.8423 | 2521.4897 | |
0.9992 | 0.9968 | 0.9925 | 0.9725 | 0.6850 | |
1 | 0.9999 | 0.9998 | 0.9994 | 0.7982 | |
1 | 1 | 0.9999 | 0.9812 | 0.8241 |
Δ(s) = 5 × 10−3 | The Proposed Method | LQR |
---|---|---|
301.8423 | 3128.2159 | |
0.9725 | 0.6014 | |
0.9994 | 0.7102 | |
0.9812 | 0.7371 |
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Kalamian, N.; Soltani, M.; Bouzari Liavoli, F.; Faraji Niri, M. Observer-Based Suboptimal Controller Design for Permanent Magnet Synchronous Motors: State-Dependent Riccati Equation Controller and Impulsive Observer Approaches. Computers 2024, 13, 142. https://doi.org/10.3390/computers13060142
Kalamian N, Soltani M, Bouzari Liavoli F, Faraji Niri M. Observer-Based Suboptimal Controller Design for Permanent Magnet Synchronous Motors: State-Dependent Riccati Equation Controller and Impulsive Observer Approaches. Computers. 2024; 13(6):142. https://doi.org/10.3390/computers13060142
Chicago/Turabian StyleKalamian, Nasrin, Masoud Soltani, Fariba Bouzari Liavoli, and Mona Faraji Niri. 2024. "Observer-Based Suboptimal Controller Design for Permanent Magnet Synchronous Motors: State-Dependent Riccati Equation Controller and Impulsive Observer Approaches" Computers 13, no. 6: 142. https://doi.org/10.3390/computers13060142