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Stability, bifurcations and response analysis of time delay control system with initial conditions and saturation effects

Authors

MUROS, FRANCISCO JAVIER, Gómez F.M.F.

External publication

Si

Means

Mediterr. Conf. Control Autom., MED - Conf. Proc.

Scope

Conference Paper

Nature

Científica

JCR Quartile

✗

SJR Quartile

✗

Area

International

Web

https://www.scopus.com/inward/record.uri?eid=2-s2.0-77957001691&doi=10.1109%2fMED.2010.5547739&partnerID=40&md5=6468eb16669d4117cb400cc09745c56a

Publication date

01/01/2010

ISI

000324864700158

Scopus Id

2-s2.0-77957001691

DOI

10.1109/MED.2010.5547739

Abstract

Applications of bifurcation theory have been employed in all engineering branches, especially in control. In this paper we analyse one control application to delay differential equations based on mentioned bifurcation theory. The time response of a first order delay model with saturation effects has been studied. A stability parameters map, showing the boundaries which separate zones with different qualitative behaviour, has been obtained by analysing the characteristic transcendental equation. Different cases for initial conditions have been employed in our analysis. © 2010 IEEE.

Keywords

Bifurcation (mathematics); Delay control systems; Differential equations; A-stability; Bifurcation theory; Control applications; Delay differential equations; First order; In-control; Initial conditions; Response analysis; Saturation effects; Time response; Transcendental equations; Control system stability