Details

Errors-in-Variables Methods in System Identification

Communications and Control Engineering

von: Torsten Söderström
171,19 €
Verlag:	Springer
Format:	PDF
Veröffentl.:	07.04.2018
ISBN/EAN:	9783319750019
Sprache:	englisch

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Beschreibungen

Titelbeschreibung

This book presents an overview of the different errors-in-variables (EIV) methods that can be used for system identification. Readers will explore the properties of an EIV problem. Such problems play an important role when the purpose is the determination of the physical laws that describe the process, rather than the prediction or control of its future behaviour. EIV problems typically occur when the purpose of the modelling is to get physical insight into a process. Identifiability of the model parameters for EIV problems is a non-trivial issue, and sufficient conditions for identifiability are given. The author covers various modelling aspects which, taken together, can find a solution, including the characterization of noise properties, extension to multivariable systems, and continuous-time models. The book finds solutions that are constituted of methods that are compatible with a set of noisy data, which traditional approaches to solutions, such as (total) least squares, do not find. A number of identification methods for the EIV problem are presented. Each method is accompanied with a detailed analysis based on statistical theory, and the relationship between the different methods is explained. A multitude of methods are covered, including: instrumental variables methods; methods based on bias-compensation; covariance matching methods; and  prediction error and maximum-likelihood methods. The book shows how many of the methods can be applied in either the time or the frequency domain and provides special methods adapted to the case of periodic excitation. It concludes with a chapter specifically devoted to practical aspects and user perspectives that will facilitate the transfer of the theoretical material to application in real systems. Errors-in-Variables Methods in System Identification gives readers the possibility of recovering true system dynamics from noisy measurements, while solving over-determined systems of equations, making it suitable for statisticians and mathematicians alike. The book also acts as a reference for researchers and computer engineers because of its detailed exploration of EIV problems.

Inhaltsverzeichnis

Chapter 1. Introduction.- Chapter 2. The Static Case.- Chapter 3. The Errors-in-Variables Problem for Dynamic Systems.- Chapter 4. Identiﬁability Aspects.- Chapter 5. Modeling Aspects.- Chapter 6. Elementary Methods.- Chapter 7. Methods Based on Bias-Compensation.- Chapter 8. Covariance Matching.- Chapter 9. Prediction Error and Maximum Likelihood Methods.- Chapter 10. Frequency Domain Methods.- Chapter 11. Total Least Squares.- Chapter 12. Methods for Periodic Data.- Chapter 13. Algorithmic Properties.- Chapter 14. Asymptotic Distributions.- Chapter 15. Errors-in-Variables Problems in Practice.- Index.- References.

Autorenportrait

Torsten Söderström received a PhD degree in automatic control in 1973, from Lund Institute of Technology, Sweden. He is a Life Fellow of IEEE, and an IFAC Fellow. Since 1974, he has been with the Division of Systems and Control at Uppsala University, where he is now a professor emeritus of automatic control. His main research interests are in the fields of system identification and estimation. In these areas he has published numerous papers, and is the co-author of four books. In 1981 he was given an Automatica Paper Prize Award along with other co-authors. He has been the Automatica editor for the area of system identification since 1992.

Back cover copy

This book presents an overview of the different errors-in-variables (EIV) methods that can be used for system identification. Readers will explore the properties of an EIV problem. Such problems play an important role when the purpose is the determination of the physical laws that describe the process, rather than the prediction or control of its future behaviour. EIV problems typically occur when the purpose of the modelling is to get physical insight into a process. Identifiability of the model parameters for EIV problems is a non-trivial issue, and sufficient conditions for identifiability are given. The author covers various modelling aspects which, taken together, can find a solution, including the characterization of noise properties, extension to multivariable systems, and continuous-time models. The book finds solutions that are constituted of methods that are compatible with a set of noisy data, which traditional approaches to solutions, such as (total) least squares, do not find.A number of identification methods for the EIV problem are presented. Each method is accompanied with a detailed analysis based on statistical theory, and the relationship between the different methods is explained. A multitude of methods are covered, including: instrumental variables methods; methods based on bias-compensation; covariance matching methods; and  prediction error and maximum-likelihood methods.The book shows how many of the methods can be applied in either the time or the frequency domain and provides special methods adapted to the case of periodic excitation. It concludes with a chapter specifically devoted to practical aspects and user perspectives that will facilitate the transfer of the theoretical material to application in real systems. Errors-in-Variables Methods in System Identification gives readers the possibility of recovering true system dynamics from noisy measurements, while solving over-determined systems of equations, making it suitable for statisticians and mathematicians alike. The book also acts as a reference for researchers and computer engineers because of its detailed exploration of EIV problems.

Sonderbeitrag

Shows the reader how to deal with measurement noises present in both input to and output from a system Assists readers in establishing the physical laws that describe their processes Compares the results of different errors-in-variables methods, allowing the reader to choose the most suitable