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Journal ArticleDOI

Paper: On the estimation of transfer functions

Lennart Ljung
- 01 Nov 1985 - 
- Vol. 21, Iss: 6, pp 677-696
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TLDR
The classical methods of frequency and spectral analysis are shown to be related to the well-known time domain methods of prediction error type via a common ''empirical transfer function estimate,'' and frequency domain weighting function determines the distribution of bias in case the true system cannot be exactly described within the chosen model set.
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This article is published in Automatica.The article was published on 1985-11-01. It has received 111 citations till now. The article focuses on the topics: Frequency domain & Weighting.

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Citations
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Journal ArticleDOI

Identification and control—closed-loop issues

TL;DR: An overview is given of some current research activities on the design of high-performance controllers for plants with uncertain dynamics, based on approximate identification and model-based control design, in dealing with the interplay between system identification and robust control design.
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On the estimation of transfer functions, regularizations and Gaussian processes-Revisited

TL;DR: A classical regularization approach, focused on finite impulse response (FIR) models, is formulated, and it is found that regularization is necessary to cope with the high variance problem.
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Design variables for bias distribution in transfer function estimation

TL;DR: In this paper, the authors investigated how the choices of prefilters, noise models, sampling interval, and prediction horizon (i.e., the use of k-step ahead prediction methods) influence the estimate.
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Industrial adaptive controllers based on frequency response techniques

TL;DR: A simple adaptive feedback algorithm which is based on the idea of tracking a point on the Nyquist curve is presented as well as an adaptive feedforward procedure which has been implemented in various industrial products.
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Robust identification of continuous systems with dead-time from step responses

TL;DR: The proposed method is detailed for a second-order plus dead-time model with one zero, which can approximate most practical industrial processes, covering monotonic or oscillatory dynamics of minimum-phase or non-minimum-phase processes.
References
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Book

System Identification: Theory for the User

Lennart Ljung
TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
Book

Spectral analysis and its applications

TL;DR: In this paper, Spectral Analysis and its Applications, the authors present a set of applications of spectral analysis and its application in the field of spectroscopy, including the following:
Journal ArticleDOI

System identification-A survey

TL;DR: The survey explains the least squares method and several of its variants which may solve the problem of correlated residuals, viz. repeated and generalized least squares, maximum likelihood method, instrumental variable method, tally principle.