Fault Diagnosis of Nonlinear Systems using a Hybrid-Degree Dual Cubature-based Estimation Scheme
Bibliographic record
Abstract
In this paper a novel hybrid-degree dual cubature-based nonlinear filtering methodology is proposed for fault diagnosis of nonlinear systems subject to multiplicative component faults. Distinct from conventional dual estimation schemes, the nonlinear functions are approximated with cubature rules to achieve a designated and case-dependent degree of accuracy. Our methodology is motivated from two primary observations: (i) dynamic characteristics of system states and parameters generally are distinct and posses different degrees of complexities, and (ii) performance of cubature rules depend on the system dynamics and vary when approximate high-dimensional integrations are utilized. The boundedness of the estimation error covariance and stability analysis are formally investigated in presence of approximation errors due to cubature rules, uncertainties, and noise. The effectiveness of our proposed methodology is evaluated by application to a gas turbine engine for addressing the multi-mode component fault diagnosis problem within an integrated fault detection, isolation and identification framework. Case studies are provided to substantiate the superiority of the proposed methodology when compared with those of other representative filters including the Unscented Kalman Filters (UKF) and Particle Filters (PF).
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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 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 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".