Bibliographic record
Abstract
A new control design method for active shape control of a dynamic flexible structures with piezoelectric inclusions is developed. It is applied mainly for applications such as deformable mirrors of an adaptive optics system, space-based imaging systems and other applications where deformable mirrors constitute part of the system. In this method, the dynamics of the flexible structure — the mirror — is included in the controller design in the form of algebraic equations of motion. The algebraic optimal control laws are derived in an explicit form for a general time-varying distributed parameter system with piezoelectric inclusions. The essence of the approach is based on using space-time assumed mode expansions of the generalized coordinates and inputs, or in other words the Rayleigh—Ritz method extended to both space and time dimensions in conjunction with variational work—energy principles that govern the physical system. An optimal tracking controller was designed for shaping the surface of the deformable mirror used in an adaptive optics system. The desired time-changing surface trajectory can be supplied analytically or by point data that can be curve fitted using Zernike polynomials for wavefront distortions for direct use. One feature of this method is that it accommodates the dynamic behavior of the structure instead of considering only the static shape control. It is shown through illustrated examples that the controller can operate at much higher control frequencies than what is currently reported in the literature.
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How this classification was reachedexpand
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 | 0.000 |
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 teacher head, 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".