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Optimal 2<sup>nd</sup> Order LTI System Identification

2023· article· en· W4385482600 on OpenAlex
Leo Stocco

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldPhysics and Astronomy
TopicModel Reduction and Neural Networks
Canadian institutionsUniversity of British Columbia
Fundersnot available
KeywordsSystem identificationLinearizationComputer scienceOptimal controlImpulse responseMatching (statistics)Process (computing)Control theory (sociology)Approximation algorithmMathematical optimizationSet (abstract data type)AlgorithmController (irrigation)Applied mathematicsMathematicsData modelingControl (management)Artificial intelligenceNonlinear systemPhysics

Abstract

fetched live from OpenAlex

Just as optimal control addresses the inexact science of selecting controller gains, optimal system identification balances the effects of linearization, estimation and order reduction, to obtain the "best fit" approximation of a target electrical, mechanical, or electro-mechanical system. Like any engineering design problem, it involves matching a set of free design parameters to a requirement specification that defines what "best" means. In this paper, closed-form metrics of a normalized second-order system are used to develop a clear and simple design process to identify a 2<sup>nd</sup> order approximation that exhibits the most relevant dynamic characteristics of the target system. The process identifies the optimal parameters of an under or over-damped system from its step-response, and refines the approximation using its impulse-response. The approach is formulaic, non-iterative, and may be used to fit a second-order approximation to a higher-order system response, without the need for a complex search algorithm.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesInsufficient payload (model declined to judge)
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: Simulation or modeling
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.417
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0010.002

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.

Opus teacher head0.019
GPT teacher head0.256
Teacher spread0.237 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Quick stats

Citations0
Published2023
Admission routes1
Has abstractyes

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