Modelling and Identification with Rational Orthogonal Basis Functions

Author:   Peter S.C. Heuberger ,  Paul M.J. van den Hof ,  Bo Wahlberg
Publisher:   Springer London Ltd
Edition:   2005
ISBN:  

9781849969765


Pages:   397
Publication Date:   14 March 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Modelling and Identification with Rational Orthogonal Basis Functions


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Overview

Models of dynamical systems are of great importance in almost all fields of science and engineering and specifically in control, signal processing and information science. A model is always only an approximation of a real phenomenon so that having an approximation theory which allows for the analysis of model quality is a substantial concern. The use of rational orthogonal basis functions to represent dynamical systems and stochastic signals can provide such a theory and underpin advanced analysis and efficient modelling. It also has the potential to extend beyond these areas to deal with many problems in circuit theory, telecommunications, systems, control theory and signal processing. Modelling and Identification with Rational Orthogonal Basis Functions affords a self-contained description of the development of the field over the last 15 years, furnishing researchers and practising engineers working with dynamical systems and stochastic processes with a standard reference work.

Full Product Details

Author:   Peter S.C. Heuberger ,  Paul M.J. van den Hof ,  Bo Wahlberg
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   2005
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.646kg
ISBN:  

9781849969765


ISBN 10:   1849969760
Pages:   397
Publication Date:   14 March 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Construction and Analysis.- Transformation Analysis.- System Identification with Generalized Orthonormal Basis Functions.- Variance Error, Reproducing Kernels, and Orthonormal Bases.- Numerical Conditioning.- Model Uncertainty Bounding.- Frequency-domain Identification in ?2.- Frequency-domain Identification in ??.- Design Issues.- Pole Selection in GOBF Models.- Transformation Theory.- Realization Theory.

Reviews

From the reviews: The book deals with the construction and use of rational orthogonal basis functions in modelling and identification of linear dynamical systems. It is written by nine authors as a research monograph and represents a survey of the field. The framework and tools are given that make it easy to evaluate how much one gains by using orthogonal basis function models ! . (Aulle Kotta, Mathematical Reviews, Issue 2006 k)


Author Information

Peter Heuberger obtained his M.Sc. degree in Mathematics at Groningen University and his Ph.D. from Delft University of Technology (both in the Netherlands). As well as his part-time position at the Delft Center for Systems and Control, he is a researcher at the Netherlands Environmental Assessment Agency in the Department of Information Services and Methodology. Paul Van den Hof has been Professor of Signals, Systems and Control at the Delft University of Technology since 1999 and th co-Director of the Center for Systems and Control since 2003. Professor Van den Hof's research interests include system identification, parametrization, signal processing and robust control design, physical measurement systems and industrial process control. He is a member of the IFAC Council (serving between 1999 and 2005), an elected member of the Board of Governors of the IEEE Control Systems Society between 2003 and 2005 and Automatica Editor for Rapid Publications. Professor Bo Wahlberg has held the Chair of Automatic Control at the Royal Institute of Technology (KTH), Stockholm since 1991. He has served as visiting professor at Stanford University and was a vice-president of KTH between 1999 and 2001. Professor Wahlberg's extensive c.v. can be found at http://www.s3.kth.se/~bo/cv.pdf

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