Object

Title: Parameter identifiability for nonlinear LPV models

Współtwórca:

Witczak, Marcin - ed. ; Stetter, Ralf - ed.

Podtytuł:

.

Tytuł publikacji grupowej:

AMCS, volume 32 (2022)

Abstract:

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.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Identyfikator zasobu:

oai:zbc.uz.zgora.pl:86409

DOI:

10.34768/amcs-2022-0019

Strony:

255-269

Źródło:

AMCS, volume 32, number 2 (2022) ; click here to follow the link

Jezyk:

eng

Licencja CC BY 4.0:

click here to follow the link

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego

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