Robust nonlinear control design of a hypersonic flight vehicle using minimax linear quadratic Gaussian control
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Bibliographic record
Abstract
For a nonlinear uncertain rigid body model of an air-breathing hypersonic flight vehicle (AHFV), a robust feedback linearization method together with a minimax optimal linear quadratic Gaussian (LQG) controller is proposed. In the framework of robust feedback linearization with a selected diffeomorphism, it is not possible to measure or manipulate all of the states algebraically. The minimax LQG control approach solves this problem by using output feedback and estimating the unmeasured states in the presence of the uncertainties. Here, a problem of constructing a guaranteed cost controller which minimizes a guaranteed cost bound has been considered and the tracking of velocity and altitude is achieved under inertial and aerodynamic uncertainties. The procedure consists of the simplification of a nonlinear model to achieve full vector relative degree and then use of the robust feedback linearization method to linearize the nonlinear dynamics. This linearization process, followed by a robust minimax LQG control design, provides a robustly stable closed loop system.
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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) | 0.001 | 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 | 0.001 |
| 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