1 research outputs found
An approach to parameter identifiability for a class of nonlinear models represented in LPV form
In several model-based system maintenance problems, parameters are used to
represent unknown characteristics of a component, equipment degradation, etc.
This allows for modelling constant, slow-varying terms. The identifiability of
these parameters is an important condition to estimate them. Linear Parameter
Varying (LPV) models are being increasingly used in the industries as a bridge
between linear and nonlinear models. Techniques exist that can rewrite some
nonlinear models in LPV form. However, the problem of identifiability of these
models is still at a nascent stage. In this paper, we propose an approach to
verify identifiability of unknown parameters for 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 analysed 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 we illustrate it using examples