Introduction to System Identification: Fundamentals and Survey
The application of system identification to engineering problems requires certain knowledge of the inherent theoretical relations the test and measuring conditions (and their inevitably imperfect realization) the deterministic and statistical approaches i
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SCIENCES
COURSES AND LECTURES - No. 296
APPLICATION OF SYSTEM IDENTIFICATION IN ENGINEERING
EDITED BY
H.G. NATKE UNIVERSITÄT HANNOVER
SPRINGER-VERLAG WIEN GMBH
l.e spese cli stampa cli questo volume sono in parte coperte da contributi
del Cbnslglio Nazionale delle Ricerche.
This volume contalns196 Wustrations.
This work ls subject to copyrlght.
AU rights are reservecl, whothor tho wholo or part of tho matorial ia concorncd specificaUy those of translation, reprintlßl, re-use of Wustrations, broadcastina. reproduction by photocopyq machine or similar means, and storap in data banks.
© 1988 by Springer-Verlag Wien Originally publisbed by Springer Verlag Wien-New York in 1988
ISBN 978-3-211-82052-0 DOI 10.1007/978-3-7091-2628-8
ISBN 978-3-7091-2628-8 (eBook)
PREFACE
System identification is a powerful tool in Engineering. lts various methods in thefrequency andin the time domain have been extensively discussed in earlier CISM courses. The aim of this course is to describe the state of the art in specific application areas, e.g. estimation of eigenquantities (in the airplane and aerospace industry, in civil engineering, in naval engineering etc.), noise source detection, fault detection by investigation of dynamic properties, such as machine sound characteristics, and the identification of the dynamic behaviour ofjlow induced systems (e.g. aeroelastic problems). Geotechnical app/ications are also one of the fields of interest. The lecture notes contain demonstrations of several methods and inc/ude a valuation of combining various kinds of experience. Such complex information inc/udes not only theoretical aspects of identification but also advice on practical handling, e.g. concerning testing effort and data handling. The course was announced as "The Boltzmann Session·: Boltzmann, who was an excellent theoretical physicist as weil as a very ski/ful experimenter, once said that "nothing is more practical than theory". I entirely agree with him. The readerwill thusfind an introductory review of the identification of vibrating structures, and, of course, some more theoretically orientated papers. I wish to thank all the participants in the course for their contributions, especially the lecturers for the oustanding work they did in Udine andfor preparing their final papers. lAst but not least our thanks must go to the CISM cooperatorsfor the excellent work they have done and for their kind hospitality.
H.G. Natke
Hannover.
CONTENTS
Page Preface Introduction to System ldentification: Fundamentals and Survey by H.G. Natke and N. Cottin •••••••.••••.•.••.....••.•...•.•••.••••••.••.•.•.••. 3 Balanced State Space Representation in the ldentification of Dynamical Systems by W. Gawronski and H. G. Natke •.•..•.•••.•••••••••.••••.•..•.••.•..•••...••• III Non-Linearity in Dynamical Systems by G.R. Tomlinson .••..••.•..•••.•.••..••.•••.•..•.••••••.•.••••••••••.•••.•• 199 Numerical Acoustic Radiation Models by P. Sas ••.•.•.••••.••.•••...••.•.•.•.•••....••.•••.•..•.•••.•.•.••.•••.•••• 233 Digital Acoustic Intensi
