A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems
Niculescu, S. I.
2824 - 2830
Item Usage Stats
This paper aims to provide a numerical algorithm able to locate all unstable poles, and therefore the characterization of the stability as a function of the delay, for a class of linear fractional-order neutral systems with multiple commensurate delays. We start by giving the asymptotic position of the chains of poles and the conditions for their stability for a small delay. When these conditions are met, the root continuity argument and some simple substitutions allow us to determine the locations where some roots cross the imaginary axis, providing therefore the complete characterization of the stability windows. The same method can be extended to provide the position of all unstable poles as a function of the delay.
Delay control systems
Published Version (Please cite this version)http://dx.doi.org/10.1016/j.automatica.2012.04.009
Showing items related by title, author, creator and subject.
Abidi K.; Yildiz, Y.; Korpe, B. E. (John Wiley and Sons Ltd, 2016)This paper proposes a control framework that addresses the destabilizing effect of communication time delays and system uncertainties in telerobotics, in the presence of force feedback. Force feedback is necessary to obtain ...
Fioravanti, A.R.; Bonnet, C.; Özbay, Hitay; Niculescu, S.-I. (Elsevier, 2011)The main point of this paper is on the formulation of a numerical algorithm to find the location of all unstable poles, and therefore the characterization of the stability as a function of the delay, for a class of linear ...
Ahmed, S.; Özbay, Hitay (Elsevier B.V., 2016)A control algorithm based on switching robust controllers is presented for a Linear Parameter Varying (LPV) time-delay system modeling automatic infusion of vasodilator drug to regulate postsurgical hypertension. The system ...