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Explicit expression of the parameter bias in identification of Laguerre models from step responses

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Lecchini, A. Gevers, Michel [UCL]

This paper delivers an analysis of the least-square estimation of the Laguerre coefficients of a linear discrete-time system from step response data. The original contribution consists in an explicit formula for the bias error on the estimated coefficients due to the under-modelling of the system. The formula, jointly with some a-priori information on the neglected dynamics, can be used to construct bounds on this error. The results presented in this paper are illustrated with a simulation example. (C) 2003 Elsevier B.V. All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2004
Language Anglais
Journal information "Systems & Control Letters" - Vol. 52, no. 2, p. 149-165 (2004)
Peer reviewed yes
Publisher Elsevier Science Bv (Amsterdam)
issn 0167-6911
e-issn 1872-7956
Publication status Publié
Affiliation UCL - FSA/INMA - Département d'ingénierie mathématique
Keywords Laguerre models ; identification ; step response
Links
Bibliographic reference Lecchini, A. ; Gevers, Michel. Explicit expression of the parameter bias in identification of Laguerre models from step responses. In: Systems & Control Letters, Vol. 52, no. 2, p. 149-165 (2004)
Permanent URL http://hdl.handle.net/2078.1/40184