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An integral equation approach to continuous system identification and model reduction / Nouari MESSALI

Public ISBD Titre : An integral equation approach to continuous system identification and model reduction Type de document : texte imprimé Auteurs : Nouari MESSALI, Auteur Année de publication : 1988 Importance : 240 p. Langues : Anglais (eng) Catégories : Mathématique Mots-clés : System order determination  SISO  MIMO  model reduction Résumé : An integral equation description for linear systems is developed and used as the basis for the development of various system identification , model reduction and order determination methods The system integral equation is utilized in the problem of parameter identification in continuous linear - input single -outpul , multi - input multi - output and linear in parmeters nonlinear sysqtems , the approach is developed in the time domain where the effect of non –zero initial conditions and additive disturbances occurs naturally , parameter estimates are deduced using several weighted residual concepts which have previously benn used to produce approximate solution to differential equations The problems of model order reduction and lumped approximation of distributed parameter systems both reduced to a continuous system parameter identification problem Two dfferent techniques for model order determination are developed for usqe with linear continuous -time sdystéme , the first is based on the behavior of sin gular values of a specifi non- square matrix the elements of which are calculated from the evaluation of the integral equation at different points in time , the second uses the shifted legendre polynomials to produce a square matrix whose non-zero eigenvalues then identify the order of the system under consideration Several numerical examples illustrate the application of the methods to the problems of continuous system parameter identification , model reduction , lumped parameter approximation of distributed parmeter systems a nd model order determination Directeur de thèse : A.H.WHITFIELD An integral equation approach to continuous system identification and model reduction [texte imprimé] / Nouari MESSALI, Auteur . - 1988 . - 240 p. Langues : Anglais (eng) Catégories : Mathématique Mots-clés : System order determination  SISO  MIMO  model reduction Résumé : An integral equation description for linear systems is developed and used as the basis for the development of various system identification , model reduction and order determination methods The system integral equation is utilized in the problem of parameter identification in continuous linear - input single -outpul , multi - input multi - output and linear in parmeters nonlinear sysqtems , the approach is developed in the time domain where the effect of non –zero initial conditions and additive disturbances occurs naturally , parameter estimates are deduced using several weighted residual concepts which have previously benn used to produce approximate solution to differential equations The problems of model order reduction and lumped approximation of distributed parameter systems both reduced to a continuous system parameter identification problem Two dfferent techniques for model order determination are developed for usqe with linear continuous -time sdystéme , the first is based on the behavior of sin gular values of a specifi non- square matrix the elements of which are calculated from the evaluation of the integral equation at different points in time , the second uses the shifted legendre polynomials to produce a square matrix whose non-zero eigenvalues then identify the order of the system under consideration Several numerical examples illustrate the application of the methods to the problems of continuous system parameter identification , model reduction , lumped parameter approximation of distributed parmeter systems a nd model order determination Directeur de thèse : A.H.WHITFIELD

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4799	02-04-91	version papier	Bibliothèque USTOMB	Thèse de Doctorat	Exclu du prêt