| 1. |
- Ljung, Lennart, 1946-, et al.
(författare)
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Subspace-based Identification of Infinite-dimensional Multivariable Systems from Frequency-response Data
- 1996
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Ingår i: Automatica. - : Elsevier. - 0005-1098 .- 1873-2836. ; 32:6, s. 885-902
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Tidskriftsartikel (refereegranskat)abstract
- A new identification algorithm which identifies low complexity models of infinite-dimensional systems from equidistant frequency-response data is presented. The new algorithm is a combination of the Fourier transform technique with the recent subspace techniques. Given noisefree data, finite-dimensional systems are exactly retrieved by the algorithm. When noise is present, it is shown that identified models strongly converge to the balanced truncation of the identified system if the measurement errors are covariance bounded. Several conditions are derived on consistency, illustrating the trade-offs in the selection of certain parameters of the algorithm. Two examples are presented which clearly illustrate the good performance of the algorithm.
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| 2. |
- McKelvey, Tomas, et al.
(författare)
-
Subspace-Based Multivariable System Identification from Frequency Response Data
- 1996
-
Ingår i: IEEE Transactions on Automatic Control. - : Institute of Electrical and Electronics Engineers (IEEE). - 0018-9286 .- 1558-2523. ; 41:7, s. 960-979
-
Tidskriftsartikel (refereegranskat)abstract
- Two noniterative subspace-based algorithms which identify linear, time-invariant MIMO (multi-input/multioutput) systems from frequency response data are presented. The algorithms are related to the recent time-domain subspace identification techniques. The first algorithm uses equidistantly, in frequency, spaced data and is strongly consistent under weak noise assumptions. The second algorithm uses arbitrary frequency spacing and is strongly consistent under more restrictive noise assumptions, promising results are obtained when the algorithms are applied to real frequency data originating from a large flexible structure.
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