Compensation of hysteresis nonlinearity for a piezoelectric actuator using a stop operator-based Prandtl-Ishlinskii model
Bibliographic record
Abstract
Piezoelectric actuators exhibit limited tracking performance in precision control due to their inherent hysteresis nonlinearity. In this paper, the hysteresis behavior is described by a play operator-based Prandtl-Ishlinskii (PPI) model. And a corresponding stop operator-based Prandtl-Ishlinskii (SPI) model is utilized as a feedforward compensator for canceling the hysteresis effect in piezoelectric actuators. For this purpose, the two parameters describing the SPI model, the thresholds and the weights, are analytically derived from the PPI model, which constitutes a main contribution of the paper. As an illustration, the effectiveness of the compensator is demonstrated through simulation and experimental results attained with a piezoelectric micro-positioning stage. Both the simulation and experimental results show that the SPI model can serve as an effective feedforward hysteresis compensator and can thus enhance the tracking/positioning precision of the piezoelectric actuators.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".