H-inf Design and mu-Analysis Based Optimal Mapping of Sensors and Actuators in Flexible Structures
Bibliographic record
Abstract
This paper presents a computationally efficient technique for the determination of the optimal size and spatial mapping of distributed actuators on a flexible structure to suppress vibrations in a H∞ control design framework. The cost of the computations required in the H∞ based optimization algorithm is reduced by using an efficient feasibility test. The feasibility test penalizes the candidates for the actuator size and locations resulting in the open-loop zeros remaining closer to the imaginary axes and passes the ones moving the open-loop zeros farther left of the imaginary axis. Then, by using only the candidates passing this feasibility test, optimization of the actuator size and placement can be performed using the H∞ based design and μ analysis. The optimal mapping technique presented in this study is demonstrated on a simple finite element based model of a flexible structure consisting of a cantilevered beam with two pairs of spatially non-collocated distributed actuators and a displacement sensor.
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| 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".