System Identification Device for Optimal Dimension Determination

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Solution Overview

Problem

Conventional system identification devices face challenges in determining an optimal system dimension due to unclear boundaries between significant and insignificant singular values in block Hankel matrices, often requiring trial and error, especially when singular values decrease monotonically.

Innovation Solution

A system identification device that receives an impulse response and a designated search range, utilizing a direct feedthrough term identification unit, block Hankel matrix generator, singular value decomposition unit, system dimension determination unit, and system matrix identification unit to determine and output the system dimension based on system characteristics and actual system characteristics, eliminating the need for trial and error.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of operation

If the first system dimension determination method (operator determination based on singular value significance) is used, then the system dimension can be determined by operator judgment, but the determination becomes subjective and may not always yield the optimum system dimension, requiring trial and error

Engineering Contradiction:

Improveoperator determinationVSAvoidsystem dimension determination accuracy

Core Design Contradiction:

Ease of operationVSMeasurement precision

Solution Approach 1:

The system automatically determines the system dimension by comparing calculated system characteristics with actual system characteristics, eliminating the need for operator intervention and trial-and-error processes. The determination is performed autonomously based on objective criteria.

Inventive Principle:

Principle #25Self-service

Solution Approach 2:

The system uses feedback from the comparison between calculated system characteristics (from singular value decomposition) and actual system characteristics to automatically adjust and determine the optimal system dimension, creating a closed-loop determination process.

Inventive Principle:

Principle #23Feedback

2Extent of automation

If the second system dimension determination method (evaluation function based on singular value rate of change) is used, then automatic determination is achieved, but the determined system dimension changes depending on the evaluation function scheme, still requiring trial and error

Engineering Contradiction:

Improveautomatic determinationVSAvoidsystem dimension determination accuracy

Core Design Contradiction:

Extent of automationVSMeasurement precision

Solution Approach 1:

The system performs automatic self-determination of system dimension by autonomously comparing calculated characteristics with actual characteristics, without requiring external evaluation function schemes or operator intervention.

Inventive Principle:

Principle #25Self-service

Solution Approach 2:

The patent replaces the mechanical approach of using evaluation functions with a mathematical comparison approach, substituting the need for arbitrary evaluation schemes with objective characteristic comparison.

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

3Loss of information

If singular value decomposition is applied to block Hankel matrix from actual impulse response, then system matrices can be calculated, but the singular values gradually and monotonously decrease making the boundary between significant and insignificant values unclear

Engineering Contradiction:

Improvesystem characteristic extractionVSAvoidsingular value significance distinction

Core Design Contradiction:

Loss of informationVSMeasurement precision

Solution Approach 1:

The system uses feedback from comparing calculated system characteristics with actual system characteristics to objectively determine which singular values are significant, replacing subjective boundary judgment with objective verification.

Inventive Principle:

Principle #23Feedback

Solution Approach 2:

The patent replaces the mechanical judgment of singular value significance boundaries with a mathematical comparison system that objectively determines significance based on characteristic matching.

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

Data Source

PatentUS10387116B2System identification device

Publication Date: 2019.08.20 MITSUBISHI ELECTRIC CORP

AI summary

A system identification device includes: a direct feedthrough term identification unit that receives an impulse response of a dynamic system; a block Hankel matrix generation unit; a singular value decomposition unit that, by singular value decomposition of the block Hankel matrix, outputs a first orthogonal matrix, a second orthogonal matrix, and a singular value; a system dimension determination unit that, on the basis of the first orthogonal matrix, second orthogonal matrix, singular value, and search range, identifies a system matrix other than a direct feedthrough term, and from a comparison of the actual system characteristics and system characteristics calculated on the basis of the system matrix and direct feedthrough term, determines the system dimension; and a system matrix identification unit that identifies a system matrix other than the direct feedthrough term on the basis of the first orthogonal matrix, second orthogonal matrix, singular value, and system dimension.