Srinivasarengan, Krishnan ; Ragot, José ; Aubrun, Christophe ; Maquin, Didier
Witczak, Marcin - ed. ; Stetter, Ralf - ed.
Linear parameter varying (LPV) models are being increasingly used as a bridge between linear and nonlinear models. From a mathematical point of view, a large class of nonlinear models can be rewritten in LPV or quasi-LPV forms easing their analysis. From a practical point of view, that kind of model can be used for introducing varying model parameters representing, for example, nonconstant characteristics of a component or an equipment degradation. ; This approach is frequently employed in several model-based system maintenance methods. The identifiability of these parameters is then a key issue for estimating their values based on which a decision can be made. However, the problem of identifiability of these models is still at a nascent stage. In this paper, we propose an approach to verify the identifiability of unknown parameters for LPV or quasi-LPV state-space models. ; It makes use of a parity-space like formulation to eliminate the states of the model. The resulting input-output-parameter equation is analyzed to verify the identifiability of the original model or a subset of unknown parameters. This approach provides a framework for both continuous-time and discrete-time models and is illustrated through various examples.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 32, number 2 (2022) ; click here to follow the link
Biblioteka Uniwersytetu Zielonogórskiego
Jul 23, 2025
Jul 23, 2025
9
https://zbc.uz.zgora.pl/repozytorium/publication/101476
| Edition name | Date |
|---|---|
| Parameter identifiability for nonlinear LPV models | Jul 23, 2025 |
Srinivasarengan, Krishnan Ragot, José Aubrun, Christophe Maquin, Didier Aitouche, Abdel - ed.
Verdiere, Nathalie Denis-Vidal, Lilianne Joly-Blanchard, Ghislaine Domurado, Dominique Beliczyński, Bartłomiej - red.
Tharrault, Yvon Mourot, Gilles Ragot, José Maquin, Didier Korbicz, Józef (1951- ) - ed. Sauter, Dominique - ed.
Ichalal, Dalil Marx, Benoît Ragot, José Maquin, Didier Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Orjuela, Rodolfo Marx, Benoît Ragot, José Maquin, Didier Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Rauh, Andreas Butt, Saif S. Aschemann, Harald Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Fernández, Luis A. Pola, Cecilia Triggiani, Roberto- ed. Maksimov, Vyacheslav I. - ed.