Nonlinear Optimal Approach to Magnetic Spacecraft Attitude Control
Why this work is in the frame
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Bibliographic record
Abstract
This paper proposes a nonlinear-based optimal magnetic actuation for spacecraft attitude control purposes. The proposed control design framework, which approximates the Hamilton-Jacobi-Bellman (HJB) equation, is essentially comprised of two steps; the value function involved in the HJB equation is first discretized by a finite truncated series of prescribed state-dependent basis functions and unknown coefficients with time-dependency. Galerkin’s spectral method is then applied directly to the HJB equation to determine time-dependent coefficients, thereby developing the desired nonlinear optimal control law. Employing this control architecture, the feedback controllers required to regulate the attitude motion of spacecraft are synthesized using the full nonlinear kinematics and dynamics of the system. This is particularly useful for attitude control systems which can involve large angle slewing maneuvers, thereby necessitating nonlinear controllers to appropriately compensate for the nonlinearities involved in the system. The simulation results show the feasibility of the proposed controller in terms of the magnetic torques required to correct the attitude of the spacecraft being considered in addition to its global asymptotic stability from a practical perspective.
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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 | 0.001 |
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