Reduced Input Control of an Underactuated Satellite Formation
Why this work is in the frame
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Bibliographic record
Abstract
In this paper, the development of a sliding mode controller for an Earth orbiting satellite formation system is presented. The stability and behavior of the sliding manifold for the underactuated linear system is proven. This is followed by the design of two sliding mode reaching laws. The first employs a proportional term to provide a smooth response towards the sliding mode. The second law uses simply a switching term with a dead zone around the sliding mode. Since both reaching laws are developed using a Lyapunov function, they are proven to be stable. When combined with the stable manifold, the total controller is stable. Extensive numerical simulations are executed to validate the effectiveness of the controllers. This is followed by a comparative analysis of the control parameters against the tracking error performance and fuel consumption. The controller performance is then compared to disturbances acting on the system and over a range of eccentricities. Finally, the fuel performance of the relay reaching law is shown to be far superior to the proportional reaching law and the physical operation the controller make it perfectly suited to practical implementation into an actual spacecraft hardware.
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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 | 0.001 |
| 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