Guaranteeing Stability in Structured Input-Output Models

With Application to System Identification

Journal Article (2024)
Author(s)

Johan Kon (Eindhoven University of Technology)

Roland Toth (Eindhoven University of Technology, HUN-REN Institute for Computer Science and Control)

Jeroen Van De Wijdeven (ASML)

Marcel Heertjes (Eindhoven University of Technology, ASML)

T. Oomen (TU Delft - Team Jan-Willem van Wingerden, Eindhoven University of Technology)

Research Group
Team Jan-Willem van Wingerden
DOI related publication
https://doi.org/10.1109/LCSYS.2024.3410143
More Info
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Publication Year
2024
Language
English
Research Group
Team Jan-Willem van Wingerden
Bibliographical Note
Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.@en
Volume number
8
Pages (from-to)
1565-1570
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Abstract

Identifying structured discrete-time linear time/parameter-varying (LPV) input-output (IO) models with global stability guarantees is a challenging problem since stability for such models is only implicitly defined through the solution of matrix inequalities (MI) in terms of the model's coefficient functions. In this letter, a structured linear IO model class is developed that results in a quadratically stable model for any choice of coefficient functions, enabling identification using standard optimization routines while guaranteeing stability. This is achieved through transforming the MI-based stability constraints in a necessary and sufficient manner, such that for any choice of transformed coefficient functions the MIs are satisfied. The developed stable LPV-IO model is employed in simulation to estimate the parameter-varying damping of mass-damper-spring system with stability guarantees, while a standard LPV-IO model results in an unstable estimate.

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