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

Arie Verhoeven

ISBN 10: 3838387694 / ISBN 13: 9783838387697

Published by LAP LAMBERT Academic Publishing, 2010

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Seller Inventory # 9783838387697

Bibliographic Details

• Title: Automatic control for adaptive time stepping in circuit simulation : Numerical mathematics applied to electronics
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2010
• Language: English
• ISBN 10: 3838387694
• ISBN 13: 9783838387697
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 9D millimeters 220 millimeters width by 150 millimeters height by 9 millimeters depth
• Weight: 233 grams

About this title

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.

About the Author

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.