A Modified Duhem Model for Rate-Dependent Hysteresis Behaviors
Abstract
:1. Introduction
2. Classical Duhem Model (CDM)
3. Modified Duhem Model (MDM)
- (1)
- Data collection: Experimental data including output displacements and input voltages for piezoelectric actuators were obtained and recorded.
- (2)
- Model implementation: Classical and modified Duhem models were implemented using the MATLAB/Simulink blocks as shown in Figure 3 and Figure 4, respectively. In these figures, block In1 represents the input voltage and block Out1 represents the output displacement predicted by the CDM or MDM. Equations (8) and (9) are expressed using MATLAB/Simulink blocks.
- (3)
- Parameter estimation: The trust-region-reflective algorithm was used to identify the parameters of hysteresis models based on experimental data.
- (4)
- Validation: Comparison of the measured and simulation results predicted by hysteresis models were shown, and the corresponding modeling errors were obtained.
4. Experimental Results
4.1. Experiment Setup
- (1)
- Building the experimental platform: Connecting all the devices as shown in Figure 5;
- (2)
- Model implementation: Constructing the input excitation signals and designing the control system for the piezoelectric ceramic actuators by using the MATLAB/Simulink blocks;
- (3)
- Experiment start: Actuating piezoelectric ceramic actuators by using control desk 5.0-dSPACE;
- (4)
- Data collection: Obtaining and recording experimental data including output displacements and input voltages for piezoelectric actuators.
4.2. Experiment Results and Discussion
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
References
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Material | PZT |
---|---|
Nominal stroke (μm) ±15% | 60 |
Stiffness (N/μm) ±20% | 15 |
Length (mm) ±0.3 | 64 |
Nominal thrust/tension (N) | 1800/300 |
Electrical capacitance (μF) ±20% | 5.4 |
Resonant frequency (kHz) | 15 |
Stiffness (N/μm) ±20% | 15 |
Parameters | CDM | MDM |
---|---|---|
0.39854 | 0.46992 | |
0.18695 | 0.24599 | |
0.049939 | 0.016074 | |
0.0056835 | 0.0027751 | |
\ | −0.030389 | |
\ | −0.00072364 | |
\ | −0.00035258 |
Experiment | CDM | MDM | Optimization Ratio | ||
---|---|---|---|---|---|
(%) | |||||
Exp1: | 0.3789 | 3.1 | 0.2467 | 1.96 | 34.89 |
Exp2: | 0.5845 | 4.6 | 0.4008 | 3.1 | 31.43 |
Exp3: | 0.2166 | 2.84 | 0.1187 | 1.56 | 45.20 |
Exp4: | 0.1426 | 3.6 | 0.0916 | 1.2 | 35.76 |
Exp5: | 0.3313 | 15.94 | 0.2899 | 13.95 | 12.50 |
Exp6: | 0.3868 | 18.86 | 0.3325 | 16.21 | 14.04 |
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Gan, J.; Mei, Z.; Chen, X.; Zhou, Y.; Ge, M.-F. A Modified Duhem Model for Rate-Dependent Hysteresis Behaviors. Micromachines 2019, 10, 680. https://doi.org/10.3390/mi10100680
Gan J, Mei Z, Chen X, Zhou Y, Ge M-F. A Modified Duhem Model for Rate-Dependent Hysteresis Behaviors. Micromachines. 2019; 10(10):680. https://doi.org/10.3390/mi10100680
Chicago/Turabian StyleGan, Jinqiang, Zhen Mei, Xiaoli Chen, Ye Zhou, and Ming-Feng Ge. 2019. "A Modified Duhem Model for Rate-Dependent Hysteresis Behaviors" Micromachines 10, no. 10: 680. https://doi.org/10.3390/mi10100680