Errors-in-Variables Methods in System Identification

Torsten Söderström

ISBN 10: 3030091252 / ISBN 13: 9783030091255

Editore: Springer International Publishing, Springer International Publishing Dez 2018, 2018

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Neuware -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; andprediction 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 516 pp. Englisch.

Codice articolo 9783030091255

Dati bibliografici

• Titolo: Errors-in-Variables Methods in System Identification
• Editore: Springer International Publishing, Springer International Publishing Dez 2018
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 3030091252
• ISBN 13: 9783030091255
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 26 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 26 millimetri di profondità
• Peso: 882 grammi

Descrizione articolo

Riassunto

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.       

Informazioni sull?autore

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.