A fast algorithm to assess local structural identifiability. (August 2015)

• Record Type: Journal Article
• Authors: Stigter, Johannes D.; Molenaar, Jaap
• Is Part Of: Automatica. Volume 58(2015)
• Page Start: 118
• Page End: 124
• Publication Date: 2015-08
• Subjects: Identifiability -- Parameter identification; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2015.05.004
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: The paper presents a novel method for assessing the local structural identifiability question for a general non-linear state-space model. The method is a combination of (i) the application of a singular value decomposition to a parametric output sensitivity matrix that is created by simply integrating the model once and, (ii) a symbolic computation for a reduced model that is guided by the SVD results and allows a confirmation of the conclusions regarding identifiability obtained in the first step. In case there is a lack of identifiability, the symbolic computation quickly results in determination of the exact structure of the nullspace and a suitable re-parametrisation. The method is discussed in detail and applied to three case studies, of which the last two are considerably large, containing 22 and 43 parameters to be identified, respectively.