Parametrizations in Control, Estimation and Filtering Problems: Accuracy Aspects (Communications and Control Engineering) - Hardcover

Gevers, Michel; Li, Gang

Hardcover

ISBN 10: 3540198210 ISBN 13: 9783540198215

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1993

Synopsis

This book is all about finite wordlength errors in digital filters, con- trollers and estimators, and how to minimize the deleterious effects of these errors on the performance of these devices. This does by no means imply that all about finite wordlength errors in filters, controllers and estimators is to be found in this book. We first ventured into the world of finite wordlength effects in 1987 when Gang Li began his PhD thesis in this area. Our more experienced readers might well say 'This shows', but we believe that the extent of our new contributions largely offsets our relative inexperience about the subject that might surface here and there in the book. Our naive view on the subject of finite wordlength errors in 1987 could probably be summarized as follows: * numerical errors due to finite wordlength encoding and roundoff are something that one has to live with, and there is probably not much that can be done about them except to increase the wordlength by improvements on the hardware; * these errors are as old as finite arithmetic and numerical analysis and they must therefore be well understood by now; * thus, if something can be done to minimize their effects, it must have been analysed and put into practice a long time ago. It is almost fair to say that we were wrong on all counts.

About this title

Synopsis

The subject of this publication is the minimization of the effects of numerical errors on the performance of digital filters, controllers and adaptive parameter estimators. This minimization is achieved through the use of optimal implementations. The computation of such optimal implementations, which minimise various measures of performance degradation, forms the main part of the book. The novelty is in the wide range of performance criteria, which reflects a range of application areas, and in the computation of the optimal solutions. A typical chapter consists of a problem formulation giving the choice of a performance measure. This is discussed in its relevance and expression in terms of the set of possible realizations, and its minimization.

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1993
• Language: English
• ISBN 10: 3540198210
• ISBN 13: 9783540198215
• Binding: Hardcover
• Number of pages: 388