Output feedback near-optimal control of atomic force microscope
Why this work is in the frame
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Bibliographic record
Abstract
This paper presents a compact atomic force microscope (AFM) model based on a singular perturbation approach tailored for systems with relatively high cantilever stiffness. This method simplifies the model, allowing for a faster response to the Van der Waals interaction forces between the measurement sample and the cantilever tip. For scenarios where the tip-sample interaction force is unknown, the proposed model serves as the basis for designing a nonlinear, near-optimal feedback control technique. This control approach guides the cantilever tip along a desired trajectory while maintaining it vertically aligned at the balance point of attraction and repulsion forces. Additionally, a cascaded high-gain observer is designed to estimate AFM dynamics using only the measured piezo tube position. Combined with the near-optimal feedback control, this observer addresses the output feedback control problem. The proposed controller is validated through a simulation example.
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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 | 0.000 | 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 | 0.001 | 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 it