System identification: theory for the user
System identification: theory for the user
Identification of continuous systems
Identification of continuous systems
Nonlinear Control Systems
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In this paper we present an algorithm for nonlinear continuous-time model structural identifiability analysis. The method can be included in the transformation of nonlinear models framework of structural indenifiability analysis and is based on test functions from distribution theory. So, the nonlinear continuous-time models are transformed in linear in parameters models by replacing the state variables and their derivatives with corresponding functionals obtained using distributions. Depending on particular cases, the problem is split in many sub-problems interconnected, the results of one stage of analysis being used to the next stages. The presented method is applied to analyse the structural indentifiability of a wastewater biodegradation process, considering that the unknown parameters appear in rational relations with measured variables.