@inproceedings{921f6993a4eb452fb987d0452f02ee96,
title = "Computing measures of identifiability, observability, and controllability for a dynamic system model with the strucID app",
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{\textquoteright}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.",
keywords = "Controllability, Identifiability, Observability, Sensitivity Analysis",
author = "J.D. Stigter and D. Joubert",
year = "2021",
month = jul,
day = "1",
doi = "10.1016/j.ifacol.2021.08.348",
language = "English",
volume = "54",
series = "IFAC-PapersOnline",
publisher = "IFAC",
pages = "138--143",
editor = "G. Pillonetto",
booktitle = "19th IFAC Symposium on System Identification SYSID 2021",
edition = "7",
note = "19th IFAC Symposium on System Identification, SYSID 2021 ; Conference date: 13-07-2021 Through 16-07-2021",
}