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

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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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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.

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�diteur: LAP LAMBERT Academic Publishing
Date d'�dition: 2013
Langue: anglais
ISBN 10: 3659496006
ISBN 13: 9783659496004
Reliure: Broch�
Nombre de pages: 116
Coordonn�es du fabricant: non disponible
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Regularizing algorithms for diagnosing

Sergey Andreyev

Edit� par LAP LAMBERT Academic Publishing Dez 2013, 2013

ISBN 10 : 3659496006 ISBN 13 : 9783659496004

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 116 pp. Englisch. N� de r�f. du vendeur 9783659496004

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

Sergey Andreyev

Edit� par LAP LAMBERT Academic Publishing, 2013

ISBN 10 : 3659496006 ISBN 13 : 9783659496004

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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. N� de r�f. du vendeur 9783659496004

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Regularizing algorithms for diagnosing

Sergey Andreyev

Edit� par LAP LAMBERT Academic Publishing Dez 2013, 2013

ISBN 10 : 3659496006 ISBN 13 : 9783659496004

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Books on Demand GmbH, �berseering 33, 22297 Hamburg 116 pp. Englisch. N� de r�f. du vendeur 9783659496004

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