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Mathematics - Sets, General Topology, & Categories, System Theory
Filtering and System Identification: A Least Squares Approach by Michel Verhaegen β€” book cover

Filtering and System Identification: A Least Squares Approach

by Michel Verhaegen
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Overview

Filtering and system identification are powerful techniques for building models of complex systems in communications, signal processing, control, and other engineering disciplines. This book discusses the design of reliable numerical methods to retrieve missing information in models derived using these techniques. Particular focus is placed on the least squares approach as applied to estimation problems of increasing complexity to retrieve missing information about a linear state-space model.

The authors start with key background topics including linear matrix algebra, signal transforms, linear system theory, and random variables. They then cover different estimation and identification methods in the state-space model, a broad range of filtering and system identification problems are analyzed, starting with the Kalman filter and concluding with the estimation of a full model, noise statistics, and state estimator directly from the data. The final chapter on the system-identification cycle prepares the reader for tackling real-world problems.

With end-of-chapter exercises, MATLAB simulations and numerous illustrations, this book will appeal to graduate students and researchers in electrical, mechanical, and aerospace engineering. It is also a useful reference for practitioners. Additional resources for this title, including solutions for instructors, are available online at www.cambridge.org/9780521875127.

About the Author:
Michel Verhaegen is Professor and co-director of the Delft Center for Systems and Control at the Delft University of Technology in the Netherlands

About the Author:
Vincent Verdult is an Assistant Professor in the Delft Centrefor Systems and Control at the Delft University of Technology in the Netherlands

Synopsis

Filtering and system identification are powerful techniques for building models of complex systems. This 2007 book discusses the design of reliable numerical methods to retrieve missing information in models derived using these techniques. Emphasis is on the least squares approach as applied to the linear state-space model, and problems of increasing complexity are analyzed and solved within this framework, starting with the Kalman filter and concluding with the estimation of a full model, noise statistics and state estimator directly from the data. Key background topics, including linear matrix algebra and linear system theory, are covered, followed by different estimation and identification methods in the state-space model. With end-of-chapter exercises, MATLAB simulations and numerous illustrations, this book will appeal to graduate students and researchers in electrical, mechanical and aerospace engineering. It is also useful for practitioners. Additional resources for this title, including solutions for instructors, are available online at www.cambridge.org/9780521875127.

About the Author, Michel Verhaegen

Michel Verhaegen is professor and co-director of the Delft Center for Systems and Control at the Delft University of Technology in The Netherlands. His current research involves applying new identification and controller design methodologies to industry, with particular focus on areas such as mechatronics and microsystems, physical imaging, and smart transportation systems.

Vincent Verdult was an assistant professor in systems and control at the Delft University of Technology in The Netherlands, from 2001 to 2005, where his research focused on system identification for nonlinear state-space systems. He is currently working in the field of information theory.

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Book Details

Published
July 19, 2012
Publisher
Cambridge University Press
Pages
422
Format
Paperback
ISBN
9781107405028

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