A Resonant Controller With High Structural Robustness for Fixed-Point Digital Implementations
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Bibliographic record
Abstract
This paper presents a new resonant (R) controller. The proposed R controller is input-output equivalent to the conventional R controller but it is internally nonlinear. Its internal state variables are the transformed versions of the conventional R controller into the polar coordinates. It is, thus, given the name of polar form resonant (PFR) controller. While the PFR is totally equivalent to the R controller in continuous-time domain, it offers a much higher structural robustness when it comes to digital implementations. Particularly, it is shown in this paper that the PFR resolves the well-known structural sensitivity of the R controller for applications that need high sampling frequency and have word length limitations. Such a structural sensitivity is conventionally resolved by resorting to the delta-domain realizations. The PFR offers an alternative method to the delta-domain realization technique with even higher degree of robustness and easier stage of adjustment. Moreover, the PFR can easily be enhanced to accommodate frequency variations, a feature that is not easily attainable using the delta-domain method. Feasibility of the PFR controller is verified using a laboratory prototype of a single-phase uninterruptible power supply system operating at high sampling and switching frequencies where the control system is implemented on a field programmable gate array board.
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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