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Frequency Domain Identification of Continuous-Time Output Error Models: Part II: Non-Uniformly Sampled Data and B-Spline Output Approximation
IPCOSAptitude Ltd, United Kingdom.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2010 (English)In: Automatica, ISSN 0005-1098, Vol. 46, no 1, 11-18 p.Article in journal (Refereed) Published
Abstract [en]

This paper treats several aspects relevant to the identification of continuous-time output error (OE) models based on non-uniformly sampled output data. The exact method for doing this is well known in the time domain, where the continuous-time system is discretized, simulated and the result is fitted in a mean square sense to measured data. The material presented here is based on a method proposed in a companion paper (Gillberg andamp; Ljung, 2010) which deals with the same topic but for the case of uniformly sampled data. In this text it will be shown how that method suggests that the output should be reconstructed using a B-spline with uniformly distributed knots. This representation can then be used to directly identify the continuous-time system without proceeding via discretization. Only the relative degree of the model is used to choose the order of the spline.

Place, publisher, year, edition, pages
Elsevier, 2010. Vol. 46, no 1, 11-18 p.
Keyword [en]
Continuous-time, Parameter estimation, System identification, Frequency domain, Splines, Output error
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-54165DOI: 10.1016/j.automatica.2009.10.005ISI: 000274405900002OAI: diva2:300372
Available from: 2010-02-26 Created: 2010-02-26 Last updated: 2013-09-23

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ReferencesLink to record
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