Geogebra as a tool of design of ultrafast and robust controller
Why this work is in the frame
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Bibliographic record
Abstract
An interactive graphical method of design is proposed in order to design a system which is robust and ultrafast. The aim will be to design a compensator with specific sensitivity bound ε on a given bandwidth while not exceeding a global sensitivity value M at all frequencies. The Geogebra program allows to adjust the compensator so that the open loop Nyquist plot is tangential to the M sensitivity circle at all frequencies, while staying outside the sensitivity circle ε within the designated bandwidth. The design is based on an improved quasi linear controller, i.e. a controller in which the high frequency cut-off depends on the open loop gain. The design also aims at keeping the Nyquist plot as close to the real value line -1/2 on the Nyquist plane so as to ensure a closed loop gain of unity on a maximum range of frequencies. The compensator is tuned with phase networks whose effects are seen graphically. The compensator's parameters are chosen so as to minimize the settling time of the time response.
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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