Digital linear control theory for automatic stepsize control

A. Verhoeven, T.G.J. Beelen, M.L.J. Hautus, E.J.W. Maten, ter

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

In transient analysis of electrical circuits the solution is computed by means of numerical integration methods. Adaptive stepsize control is used to control the local errors of the numerical solution. For optimization purposes smoother stepsize controllers can ensure that the errors and stepsizes also behave smoothly. For onestep methods, the stepsize control process can be viewed as a digital (i.e. discrete) linear control system for the logarithms of the errors and steps. For the multistep BDF-method this control process can be approximated by such a linear control system.
Original languageEnglish
Title of host publicationScientific Computing in Electrical Engineering (Proceedings SCEE-2004, Capo D'Orlando, Sicily, Italy, September 5-9, 2004)
EditorsA.M. Anile, G. Ali, G. Mascali
Place of PublicationBerlin
PublisherSpringer
Pages137-142
ISBN (Print)3-540-32861-0
Publication statusPublished - 2006

Publication series

NameMathematics in Industry
Volume9
ISSN (Print)1612-3956

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  • Cite this

    Verhoeven, A., Beelen, T. G. J., Hautus, M. L. J., & Maten, ter, E. J. W. (2006). Digital linear control theory for automatic stepsize control. In A. M. Anile, G. Ali, & G. Mascali (Eds.), Scientific Computing in Electrical Engineering (Proceedings SCEE-2004, Capo D'Orlando, Sicily, Italy, September 5-9, 2004) (pp. 137-142). (Mathematics in Industry; Vol. 9). Springer.