CONTINUOUS-TIME AR PARAMETER ESTIMATION BY USING PROPERTIES OF SAMPLED SYSTEMS
Erik K. Larsson and Torsten Söderström
Department of Systems and Control, Information Technology, Uppsala University. P O Box 27, SE-751 03 Uppsala, Sweden. Email: ekl@syscon.uu.se
Consider the problem of estimating the parameters in a continuous-time autoregressive (CAR) model from discrete-time samples. In this paper a simple and computationally efficient method is introduced, and analyzed with respect to bias distribution. The approach is based on replacing the derivatives by delta approximations, forming a linear regression, and using the least squares method. It turns out that consistency can be assured by applying a particular prefilter to the data; the filter is easy to compute and is only dependent on the order of the continuous-time system. Finally, the introduced method is compared to other methods in some simulation studies.
Keywords: system identification; autoregressive process; continuous-time; sampling
Session slot T-Tu-E02: Continuous-time model identification: methods and applications/Area code 3a : Modelling, Identification and Signal Processing

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