How to Represent and Identify Affine Time-Invariant Systems?
METADATA ONLY
Loading...
Author / Producer
Date
2025
Publication Type
Journal Article
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
Affine systems are ubiquitous in modeling and emerge naturally from the linearization of nonlinear dynamics. Despite their relevance in applications, their identification remains largely ad hoc, relying on centering the data before applying linear identification methods. This heuristic approach assumes constant offset and can introduce bias. We develop a dedicated framework for affine system identification, deriving identifiability conditions and identification methods based on difference equation representations. Unlike the classical two-step approach, our method identifies the data-generating system under conditions verifiable from data and system complexity. For noisy data in the errors-in-variables setting, we recast the problem as a structured low-rank approximation, leveraging existing optimization techniques for efficient computation.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
9
Pages / Article No.
1207 - 1212
Publisher
IEEE
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
System identification; Thermometers; Computational modeling; behavioral approach; affine systems; low-rank approximation
Organisational unit
09478 - Dörfler, Florian / Dörfler, Florian