Structured model identification algorithm based on constrained optimisation

• Published in: 2015 European Control Conference (ECC) pp. 1285 - 1290
• Main Authors: Vayssettes, J., Mercere, G., Bury, Y., Pommier-Budinger, V.
• Format: Conference Proceeding
• Language: English
• Published: EUCA 01.07.2015
• Subjects: Cost function; Estimation; Frequency-domain analysis; Optimization methods; Reliability
• DOI: 10.1109/ECC.2015.7330715

This article presents an identification algorithm dedicated to the estimation of the coefficients of physically-structured models. This algorithm is based on a constrained gradient-based optimisation that minimises a non-convex cost function to identify a structured model, starting from an initial black-box model. The suggested method is able to handle linear relations between the model coefficients so as to identify a model with the desired physical structure. Since the minimised function is non-convex, the initial model must be in the neighbourhood of its global minimum. The initialisation issue is discussed and a total-least-squares-based solution is suggested. These new developments are evaluated on a simulation benchmark, illustrating the identification of a mechanical system.