Further Comments on Taylor Series Expansion of the Delay/Advance Operator-Reference-Cited by-同舟云学术

Further Comments on Taylor Series Expansion of the Delay/Advance Operator

Published:2016-12-05 Issue:3 Volume:12 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

García-Ramírez Eduardo¹,Peñaloza-Mejía Ollin²,Moog Claude H.³

Affiliation:

1. Department of Electronics and Telecommunications, Centro de Investigación Científica y de Educación Superior de Ensenada, Ensenada, Baja California 22860, Mexico e-mail:

2. Departamento de Ingeniería Eléctrica y Electrónica, Instituto Tecnológico de Sonora, Ciudad Obregón, Sonora 85130, Mexico e-mail:

3. Institut de Recherche en Communications et Cybernétique de Nantes, UMR CNRS 6597, Nantes Cedex 3, 44321, France e-mail:

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. It is shown that the use of the truncated Taylor series expansion of the (inverse) advance operator does not feature the same drawbacks.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4035058/6110297/cnd_012_03_034501.pdf

Reference17 articles.

1. Time-Delay Systems: An Overview of Some Recent Advances and Open Problems;Automatica,2003

2. Paraskevopoulos, P., and Samiotakis, S., 1994, “State Space Analysis and Optimal Control of Time Delay Systems Via Taylor Series,” International Conference on Control, Control’94, Mar. 21–24, Vol. 1, pp. 70–74.10.1049/cp:19940111

3. Analysis of Time-Delay Systems by Series Approximation;AIChE J.,1975

4. Control of structures