Regularizing algorithms for diagnosing: Applied to gas turbine engines in operation - Couverture souple

Andreyev, Sergey; Guseynov, Sharif

 
9783659496004: Regularizing algorithms for diagnosing: Applied to gas turbine engines in operation
Couverture souple
ISBN 10 : 3659496006 ISBN 13 : 9783659496004
Editeur : LAP LAMBERT Academic Publishing, 2013

Synopsis

In this work several approaches of a stable method for construction of the diagnostic matrix for gas turbine engine are being researched, when initial data are given inexactly, and their maximal deviation estimation is known. The essence of the problem is the following: the equations in minor deviations describing the gas turbine engine give us system of linear algebraic equations AC=B, where the matrix C is called a diagnostic matrix, the matrix A components comprise the coefficients of the calculated parameters, and the matrix B components comprise the coefficients of measured parameters. However, as a rule the matrix A is sparse and ill-conditioned matrix, so there is a problem of stable inversion, as a result the problem becomes ill-posed. Therefore, methods of ill-posed problem theory are used: normal pseudosolution is searched instead of an exact solution (it is important to note that normal pseudosolution is not always approximates to the exact one) using classical Tikhonov's regularization method, however, that method causes inherent obstacles, which possible solutions are discovered. There are described 3 approaches of finding the regularization parameter.

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Présentation de l'éditeur

In this work several approaches of a stable method for construction of the diagnostic matrix for gas turbine engine are being researched, when initial data are given inexactly, and their maximal deviation estimation is known. The essence of the problem is the following: the equations in minor deviations describing the gas turbine engine give us system of linear algebraic equations AC=B, where the matrix C is called a diagnostic matrix, the matrix A components comprise the coefficients of the calculated parameters, and the matrix B components comprise the coefficients of measured parameters. However, as a rule the matrix A is sparse and ill-conditioned matrix, so there is a problem of stable inversion, as a result the problem becomes ill-posed. Therefore, methods of ill-posed problem theory are used: normal pseudosolution is searched instead of an exact solution (it is important to note that normal pseudosolution is not always approximates to the exact one) using classical Tikhonov's regularization method, however, that method causes inherent obstacles, which possible solutions are discovered. There are described 3 approaches of finding the regularization parameter.

Biographie de l'auteur

Sergey A. Andreyev, Transport and Telecommunication Institute, Latvia. Specialist in computer sciences, mathematical modelling, reliability and fault diagnosis of complicated objects and systems.Sharif E. Guseynov, Liepaja University, Latvia. Specialist in mathematical modelling, ill-posed and inverse problems, PDF, theory of optimization.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2013
Langue
anglais
ISBN 10 
3659496006
ISBN 13 
9783659496004
Reliure
Broché
Nombre de pages
116
Coordonnées du fabricant
non disponible
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