Reduced Input Control of an Underactuated Satellite Formation
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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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| 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 | 0.001 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".