Diagnosis of Oscillations Between Controller Tuning and Harmonic External Disturbances
Why this work is in the frame
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Bibliographic record
Abstract
This paper studies the properties of linear systems described by discrete-time stochastic dynamic models and the conditions that yield an oscillatory response. Feedback loops that are oscillatory due to the controller tuning fall into this category of systems. Therefore, analyzing linear systems with oscillatory responses reveals the properties of self-oscillatory feedback loops. It is shown that in the presence of random disturbances, the oscillation due to the controller has a varying amplitude and phase even though the oscillation frequency is constant. The autocorrelation function of these types of oscillatory signals has a decay ratio and does not have a deterministic amplitude of oscillation. These properties can be utilized in distinguishing between the controller induced and externally introduced oscillations. Two hypothesis tests are developed to facilitate a solution for the above stated oscillation diagnosis problem.
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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) | 0.001 | 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