Automatic control for adaptive time stepping in circuit simulation: Numerical mathematics applied to electronics - Couverture souple

Verhoeven, Arie

 
9783838387697: Automatic control for adaptive time stepping in circuit simulation: Numerical mathematics applied to electronics
Couverture souple
ISBN 10 : 3838387694 ISBN 13 : 9783838387697
Editeur : LAP LAMBERT Academic Publishing, 2010

Synopsis

DAE-solvers are used to find the numerical solution of the transient analysis of electrical circuits. For onestep methods, the local truncation error only depends on the last stepsize, but for multistep methods, this error is also depends on previous stepsizes in a nonlinear way. Adaptive stepsize control and order control can be used to control these truncation errors. In connection with the articles of prof.S¨oderlind, the possibilities of a control-theoretic approach are investigated. For onestep methods, the stepsize control process can be viewed as a digital linear control system for the logarithms of the errors and steps. From a control-theoretic point of view, the goal is to keep the error close to a reference level with use of the stepsizes as input. If the stepsize control process is correctly modelled, a finite order digital linear controller can be designed. From the results, it appears that it is possible to design linear controllers that achieve better properties than the commonly used deadbeat- controllers.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

DAE-solvers are used to find the numerical solution of the transient analysis of electrical circuits. For onestep methods, the local truncation error only depends on the last stepsize, but for multistep methods, this error is also depends on previous stepsizes in a nonlinear way. Adaptive stepsize control and order control can be used to control these truncation errors. In connection with the articles of prof.S¨oderlind, the possibilities of a control-theoretic approach are investigated. For onestep methods, the stepsize control process can be viewed as a digital linear control system for the logarithms of the errors and steps. From a control-theoretic point of view, the goal is to keep the error close to a reference level with use of the stepsizes as input. If the stepsize control process is correctly modelled, a finite order digital linear controller can be designed. From the results, it appears that it is possible to design linear controllers that achieve better properties than the commonly used deadbeat- controllers.

Biographie de l'auteur

The author was born July 18th, 1980, in Utrecht, the Netherlands. Arie started studying Applied Mathematics at Eindhoven University of Technology, and graduated with honors in 2004.

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
2010
Langue
anglais
ISBN 10 
3838387694
ISBN 13 
9783838387697
Reliure
Broché
Nombre de pages
144
Coordonnées du fabricant
non disponible
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