Kinematically-Constrained Continuous-Path Polynomial Trajectories for Quadrotors
Why this work is in the frame
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Bibliographic record
Abstract
A waypoint trajectory is different from a continuous-path trajectory, e.g., a circular trajectory since the path between the waypoints is not constrained. However, continuous-path trajectories suffer from a major limitation, which is the inability to set any desired kinematic constraints on the trajectory other than the ones defined by the standard equation of the continuous-path trajectory, e.g., the circle equation. Therefore, this paper proposes the kinematically-constrained continuous-path polynomial trajectory to overcome this limitation. First, a framework to generate polynomial trajectories of any degree with an arbitrary number of waypoints in any dimensional space is presented. Second, a dynamic feasibility condition of the proposed trajectory for quadrotors applications is introduced. Third, the the required quadrotor’s thrust is compared to the corresponding continuous-path trajectory to examine if the proposed trajectory requires larger thrust and consequently more energy consumption. Fourth, two different cases with arbitrary kinematic constraints and a piecewise kinematic profile are studied via simulation to show the effectiveness of the proposed approach. Finally, the results are validated experimentally. The results show effectiveness and the feasibility of the proposed approach.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| 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