60documents trouvés
Jensen's and Wirtinger's inequalities for time-delay systems
A.SEURET, F.GOUAISBAUT
MAC
Rapport LAAS N°13005, Janvier 2013, 6p.
Lien : http://hal.archives-ouvertes.fr/hal-00760314
Diffusable
Plus d'informations
Abstract
In the huge literature dedicated to stability of time-delay systems, the most popular approach remains the use of Lyapunov-Krasovskii functionals. This framework allows to study a large class of time-delay systems including constant or time-varying delays. Since several years, the main challenge is to propose new functionals and techniques for deriving less and less conservative stability conditions. Nevertheless, all these approaches usually adopt the same procedure which is based on the well-known Jensen's inequality which generally induces some conservatism difficult to overcome. This paper analyses firstly the conservatism induced by the Jensen's inequality and secondly proposes a wide class of new parametrized inequalities. All these are based on an extensive use of Wirtinger inequality which has been recently introduced in Liu and Fridman [2012] and Seuret and Gouaisbaut [2012b] for stability analysis.
Controlled QoS guarantee in communication network
C.ALBEA SANCHEZ, F.GOUAISBAUT, Y.LABIT
MAC, SARA
Rapport LAAS N°12683, Décembre 2012, 12p.
Diffusable
128773Sliding modes for anomaly observation in TCP networks: from theory to practice
S.RAHME, Y.LABIT, F.GOUAISBAUT, T.FLOQUET
MAC, SARA, LAGIS
Rapport LAAS N°12502, DOI 10.1109/TCST.2012.2198648, Septembre 2012, 16p.
Lien : http://hal.archives-ouvertes.fr/hal-00734325
Diffusable
Plus d'informations
Abstract
Anomaly detection has been an active open problem in the networks community for several years. In this brief, we aim at detecting such abnormal signals by control theory techniques. Several classes of sliding mode observers are proposed for a fluid flow model of the transmission control protocol (TCP)/internet protocol network. Comparative simulations via network simulator NS-2 show the enhancement brought by a higher order sliding mode observer. The efficiency of this observer opens the way toward observing traffics with real TCP flow characteristics. To achieve this end, trace replay techniques for TCP traffic traces are presented. Finally, experiments lead to successful anomaly estimation under real traffic conditions.
Robust stability of time-varying delay systems: the quadratic separation approach
Y.ARIBA, F.GOUAISBAUT, K.H.JOHANSSON
MAC, KTH
Revue Scientifique : Asian Journal of Control, Vol.14, N°5, pp.1205-1214, Septembre 2012 , N° 12499
Lien : http://hal.archives-ouvertes.fr/hal-00734373
Diffusable
Plus d'informations
Abstract
In this article, we are interested in analysing the stability of systems that incorporate time-varying delays in their dynamic. The Lyapunov-Krasovskii approach is definitely the most popular method to address this issue and many results have proposed new functionals and enhanced techniques for deriving less conservative stability conditions. In the present work, we propose an original approach: the quadratic separation. To this end, the delay operator properties are exploited to provide delay range stability conditions. In particular, L2-norm of delay-dependent operators are computed so as to reduce the conservatism of the approach. Moreover, the main result is able to assess the stability of non-small delay systems, i.e, it can detect a stability interval for systems that are unstable without any delay. Several examples illustrate the benefit of our methodology.
Control design for quantized linear systems with saturations
S.TARBOURIECH, F.GOUAISBAUT
MAC
Revue Scientifique : IEEE Transactions on Automatic Control, Vol.57, N°7, pp.1883-1889, Juillet 2012 , N° 11705
Diffusable
127805Détection de Dénis de Service (DdS) dans une architecture TCP par un observateur glissant
S.RAHME, L.GALLON, Y.LABIT, F.GOUAISBAUT
MAC, IUT Mont-de-Marsan, SARA
Manifestation avec acte : Conférence Internationale Francophone d'Automatique (CIFA2012), Grenoble (France), 4-6 Juillet 2012, pp.937-942 , N° 12079
Diffusable
127625On the use of the Wirtinger inequalities for time-delay systems
A.SEURET, F.GOUAISBAUT
GIPSA-Lab, MAC
Manifestation avec acte : IFAC Workshop on Time Delay Systems 2012, Boston (USA), 22-24 Juin 2012, 6p. , N° 12258
Lien : http://hal.archives-ouvertes.fr/hal-00697498
Diffusable
Plus d'informations
Abstract
The paper addresses the stability problem of linear time delay system. In the literature, the most popular approach to tackle this problem relies on the use of Lyapunov-Krasovskii functionals. Many results have proposed new functionals and techniques for deriving less and less conservative stability conditions. Nevertheless, all these approaches use the same trick, the well-known Jensen's inequality which generally induces some conservatism difficult to overcome. In light of those observations, we propose to reduce the conservatism of Lyapunov-Krasovskii functionals by introducing new classes of integral inequalities called Wirtinger inequalities. This integral type inequality is rstly shown to encompass Jensen's inequality and is then employed to derive new stability conditions. To this end, a slightly modi ed Lyapunov functional is proposed. Several examples illustrate the e ectiveness of our methodology.
Traffic monitoring in TCP/AQM networks through a time delay observer
Y.ARIBA, F.GOUAISBAUT, S.RAHME, Y.LABIT
SARA, MAC
Revue Scientifique : IET Control Theory & Applications, Vol.6, N°4, pp.506-517, Mars 2012 , N° 09655
Diffusable
126918L2 stability for quantized linear systems with saturations
S.TARBOURIECH, F.GOUAISBAUT
MAC
Conférence invitée : World IFAC Congress (IFAC 2011), Milan (Italie), 28 Août - 2 Septembre 2011, pp.2338-2343 , N° 11373
Diffusable
125211Delay range stability of a class of distributed time delay systems
F.GOUAISBAUT, Y.ARIBA
MAC, ICAM
Revue Scientifique : Systems & Control Letters, Vol.60, N°3, pp.211-217, Mars 2011 , N° 11081
Diffusable
124036