Browsing by Subject "Delay effects"
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Item Open Access H∞ filter design for vehicle tracking under delayed and noisy measurements(IEEE, 2007-06) Ezercan, Sami; Özbay, HitayIn many intelligent vehicles applications tracking plays an important role. This paper considers tracking of a vehicle under delayed and noisy measurements. For this purpose we design an H∞ optimal filter for linear systems with time delays in the state and output variables. By using the duality between filtering and control, the problem at hand is transformed to a robust controller design for systems with time delays. The skew Toeplitz method developed earlier for the robust control of infinite dimensional systems is used to solve the H∞ filtering problem. The results are illustrated with simulations and effects of the time delay on the tracking performance are demonstrated. ©2007 IEEE.Item Open Access A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems(Elsevier, 2012-08-14) Fioravanti, A.R.; Bonnet, C.; Özbay, Hitay; Niculescu, S. I.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.Item Open Access Stability of fractional neutral systems with multiple delays and poles asymptotic to the imaginary axis(IEEE, 2010) Fioravanti, A. R.; Bonnet, C.; Özbay, HitayThis paper addresses the H∞-stability of linear fractional systems with multiple commensurate delays, including those with poles asymptotic to the imaginary axis. The asymptotic location of the neutral chains of poles are obtained, followed by the determination of conditions that guarantee a finite H∞ norm for those systems with all poles in the left half-plane of the complex plane.Item Open Access Stability windows and unstable root-loci for linear fractional time-delay systems(Elsevier, 2011) Fioravanti, A.R.; Bonnet, C.; Özbay, Hitay; Niculescu, S.-I.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 fractional-order neutral systems with multiple commensurate delays. We start by the asymptotic position of the chains of poles and conditions for their stability, for a small delay. When these conditions are met, we continue by means of the root continuity argument, and using a simple substitution, we can find all the locations where roots cross the imaginary axis. We can extend the method to provide the location of all unstable poles as a function of the delay. Before concluding, some examples are presented. © 2011 IFAC.