Linear Model Predictive Control and Back-Propagation Controller for Single-Point Magnetic Levitation with Different Gap Levitation and Back-Propagation Offline Iteration
Abstract
:1. Introduction
2. Modeling and Controller Design
2.1. System Modeling
2.2. Controller Design
2.2.1. LMPC
- The measurable interference is invariant after moment k, i.e.,
2.2.2. BP Neural Network Prediction Model
2.2.3. ESO
2.3. Network Offline Update
3. Simulation Results and Analysis
3.1. Step Response
3.2. Suspension at Different Gaps
3.3. Comparison of Controller Performance after Updating the Network
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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Parameters | Value |
---|---|
n | 910 |
R | 3.1 Ω |
× 10−7 H/m | |
m | 14 kg |
A | 3 × 10−3 m2 |
Controllers | Tr/s | Ts/s | σ |
---|---|---|---|
PID | 0.20 | 0.29 | 1.63% |
LMPC-BP | 0.14 | 0.16 | 0 |
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Liu, Z.; Dou, F. Linear Model Predictive Control and Back-Propagation Controller for Single-Point Magnetic Levitation with Different Gap Levitation and Back-Propagation Offline Iteration. Actuators 2024, 13, 331. https://doi.org/10.3390/act13090331
Liu Z, Dou F. Linear Model Predictive Control and Back-Propagation Controller for Single-Point Magnetic Levitation with Different Gap Levitation and Back-Propagation Offline Iteration. Actuators. 2024; 13(9):331. https://doi.org/10.3390/act13090331
Chicago/Turabian StyleLiu, Ziyu, and Fengshan Dou. 2024. "Linear Model Predictive Control and Back-Propagation Controller for Single-Point Magnetic Levitation with Different Gap Levitation and Back-Propagation Offline Iteration" Actuators 13, no. 9: 331. https://doi.org/10.3390/act13090331