Further comments on Taylor series expansion of the delay/advance operator

Abstract : The limitations of the Taylor series approximations of the delayed variables have been documented by means of examples in several works. This note unifies these previous comments through a higher level analysis of the issue. First, a general negative result is derived for the use of higher order truncation of the Taylor series. It covers the properties of the special examples in the literature. Second, it is shown that the use of the truncated Taylor series expansion of the (inverse) advance operator does not feature similar drawbacks and may be efficient in practice, depending on the system parameters.
Type de document :
Article dans une revue
Journal of Computational and Nonlinear Dynamics, American Society of Mechanical Engineers (ASME), 2017, 12 (3), in progress. <http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=2578271>. <10.1115/1.4035058 >
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01374775
Contributeur : Claude Moog <>
Soumis le : samedi 1 octobre 2016 - 10:24:08
Dernière modification le : mercredi 1 mars 2017 - 15:45:47

Identifiants

Collections

Citation

Eduardo Garcia-Ramirez, Peñaloza-Mejia Ollin, Claude H. Moog. Further comments on Taylor series expansion of the delay/advance operator. Journal of Computational and Nonlinear Dynamics, American Society of Mechanical Engineers (ASME), 2017, 12 (3), in progress. <http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=2578271>. <10.1115/1.4035058 >. <hal-01374775>

Partager

Métriques

Consultations de la notice

315