Adaptive control of dual-rate systems based on least squares methods
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Bibliographic record
Abstract
This paper is motivated by a practical control problem that the output sampling rate is often limited. In particular, for a dual-rate system in which the output sampling period is an integer multiple of the input updating period, we use a polynomial transformation technique to obtain a frequency-domain model. Based on this model, we propose a self-tuning control algorithm by minimizing output tracking error criteria from directly the dual-rate input-output data, analyze convergence properties of the algorithm in detail in the stochastic framework, and show that the control algorithm can achieve virtually asymptotically optimal control, ensure the closed-loop systems to be globally convergent and stable, and the output tracking error at the output sampling instants has the property of minimum variance. The results from simulation are included.
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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 | 0.000 | 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 it