A priori parameter identifiability in models with non-rational functions
| Autor: | Sridharakumar Narasimhan, Nirav Bhatt, Rishabh M. Jain |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Polynomial State variable 020208 electrical & electronic engineering 02 engineering and technology Rational function Exponential function Nonlinear system 020901 industrial engineering & automation Control and Systems Engineering ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0202 electrical engineering electronic engineering information engineering Padé approximant Applied mathematics Identifiability Differential algebra Electrical and Electronic Engineering Mathematics |
| Zdroj: | Automatica. 109:108513 |
| ISSN: | 0005-1098 |
| DOI: | 10.1016/j.automatica.2019.108513 |
| Popis: | Differential algebra based approaches are used to study a priori parameter identifiability of nonlinear systems with polynomial or rational functional forms. However, these methods cannot be applied to state-space models which have non-rational functions (e.g., exponential, sinusoidal etc.) of state variables. In this paper, we propose a method to test identifiability for systems with non-rational functions using Pade and power series approximations and differential algebra. In particular, for a certain class of systems, we show that if the approximation of a certain order is used and the resulting system is identifiable, then higher order approximations will also result in identifiable systems. The proposed approach is illustrated using a non-isothermal reaction system. |
| Databáze: | OpenAIRE |
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