Computing measures of identifiability, observability, and controllability for a dynamic system model with the strucID app

J.D. Stigter*, D. Joubert

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference paperAcademicpeer-review

8 Citations (Scopus)

Abstract

Identifiability, observability, and controllability are important structural properties of a dynamic system model. Our interest lies in the detection of a lack of identifiability/observability and/or controllability through the computation and subsequent analysis of the exact nullspace of the gramian for non-linear systems. For this analysis we have developed a user-friendly application with the name StrucID which runs in Matlab. The StrucID App requires as input a model definition in (possibly non-linear) state space format. In addition, an output equation that may also be non-linear is required. Through a rank test (SVD) on an associated sensitivity matrix, so-called signature graphs are produced. These represent a model’s singular values and nullspace vectors and provide a visual summary. The results can now be used in a substantially reduced symbolic computation (not included yet in the current version of StrucID) that computes a Fliess series expansion of the output signal to arrive at the nullspace of an associated Jacobi matrix. Solving an underlying partial differential equation then completes the structural analysis and generates a re-parametrisation and/or state transformation that allows for model reduction in an exact manner. A few examples will be presented.

Original languageEnglish
Title of host publication19th IFAC Symposium on System Identification SYSID 2021
EditorsG. Pillonetto
PublisherIFAC
Pages138-143
Number of pages6
Volume54
Edition7
DOIs
Publication statusPublished - 1 Jul 2021
Event19th IFAC Symposium on System Identification, SYSID 2021 - Padova, Italy
Duration: 13 Jul 202116 Jul 2021

Publication series

NameIFAC-PapersOnline
PublisherElsevier
ISSN (Print)2405-8963

Conference/symposium

Conference/symposium19th IFAC Symposium on System Identification, SYSID 2021
Country/TerritoryItaly
CityPadova
Period13/07/2116/07/21

Keywords

  • Controllability
  • Identifiability
  • Observability
  • Sensitivity Analysis

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