L/sub 2/-stability of a shape memory alloy position control system
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Bibliographic record
Abstract
In most shape memory alloy (SMA) actuator systems presented in the literature, some form of PID or pulse-width modulating controller is typically used. Unfortunately, due to the hysteresis inherent in any SMA actuator system, the theoretical stability of these systems has been largely ignored. This paper employs a model developed by the author and a general form of the passivity theorem of Vidyasagar (1993) to prove the L/sub 2/-stability of an SMA actuator system employing a form of proportional control. The complex nonlinear behaviour of the SMA actuator is taken into account, along with nonlinear effects such as saturation. Due to the flexibility of the model in specifying the shape and position of the hysteresis, the stability result may be applicable to other hysteretic systems.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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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 | 0.001 | 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) | 0.007 | 0.001 |
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 it