60documents trouvés
Delay-dependent robust stability of time delay systems
F.GOUAISBAUT, D.PEAUCELLE
MAC
Manifestation avec acte : 5th IFAC Symposium on Robust Control Design (ROCOND'2006), Toulouse (France), 5-7 Juillet 2006, 12p. , N° 05455
Lien : http://hal.archives-ouvertes.fr/hal-00401025/fr/
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In this note, we provided an improved way of constructing a Lyapunov-Krasovskii functional for a linear time delay system. This technique is based on the reformulation of the original system and a discretization scheme of the delay. A hierarchy of Linear Matrix Inequality based results with increasing number of variables is given and is proved to have convergence properties in terms of conservatism reduction. Examples are provided which show the effectiveness of the proposed conditions.
A note on stability of time delay systems
F.GOUAISBAUT, D.PEAUCELLE
MAC
Manifestation avec acte : 5th IFAC Symposium on Robust Control Design (ROCOND'2006), Toulouse (France), 5-7 Juillet 2006, 13p. , N° 05456
Lien : http://hal.archives-ouvertes.fr/hal-00401031/fr/
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This paper considers the robust stability of time delay systems by means of quadratic separation theory. Using this formalism both delay independent and delay dependent criteria are provided. In the nominal case, without uncertainties, our result is shown to be equivalent to other LMI-based results from the literature. Finally, an academic example is provided to show the effectiveness of this robust analysis approach.
Quadratic stability applied to time-delay systems
F.GOUAISBAUT, D.PEAUCELLE
MAC
Rapport LAAS N°06455, Juin 2006, 15p.
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107143Stability and stabilization of distributed time delay systems
F.GOUAISBAUT
MAC
Manifestation avec acte : 44 th IEEE Conference on Decision and Control and European Control Conference (ECC-CDC 05), Seville (Espagne), 12-15 Décembre 2005, pp.1379-1384 , N° 04232
Lien : http://hal.archives-ouvertes.fr/hal-00400945/fr/
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This paper is dedicated to the stability and stabilization of state-distributed delay systems. The key idea is to express the distributed delay system as a barycentric sum of linear pointwise time delay systems. By using this reformulation, new stability criterion is proposed and is formulated in the form of Linear Matrix Inequality. These conditions for the stability of the system are obtained by using a Lyapunov Krasovskii functional . Based on this stability criterion, new types of controllers, taking into account the delayed part, are designed to ensure the asymptotic stability of the system. Several examples illustrate the proposed method.
Discussion on "Parameter-dependent Lyapunov function approach to stability analysis and design for uncertain systems with time-varying delay"
D.PEAUCELLE, F.GOUAISBAUT
MAC
Revue Scientifique : European Journal of Control, Vol.11, N°1, pp.69-70, 2005 , N° 05308
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105548Synthèse Hinfini avec la commande vectorielle indirecte appliquée à la machine asynchrone
M.BOUKHNIFER, A.FERREIRA, F.GOUAISBAUT
ENSI, MAC
Manifestation avec acte : Conférence Internationale Francophone d'Automatique (CIFA'2004), Douz (Tunisie), 22-24 Novembre 2004, 6p. , N° 04231
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103120Stabilité et stabilisation de systèmes à retards distribués
F.GOUAISBAUT
MAC
Manifestation avec acte : Conférence Internationale Francophone d'Automatique (CIFA'2004), Douz (Tunisie), 22-24 Novembre 2004, 5p. , N° 04230
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103117Stability of a micro-teleoperation system using passivity approaches
M.BOUKHNIFER, A.FERREIRA, F.GOUAISBAUT
ENSI, MAC
Rapport LAAS N°04233, Mai 2004, 7p.
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102163Robust H controller design for bilateral micro-teleoperation over the internet
M.BOUKHNIFER, A.FERREIRA, F.GOUAISBAUT
ENSI, MAC
Manifestation avec acte : 35th International Symposium on Robotics (ISR'2004), Paris (France), 23-26 Mars 2004, 6p. , N° 04031
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102246Robust control of delay systems: a sliding mode control design via LMI
F.GOUAISBAUT, M.DAMBRINE, J.P.RICHARD
MAC, LAMIH, LAGIS
Revue Scientifique : Systems & Control Letters, Vol.46, N°4, pp.219-230, 2002 , N° 02639
Lien : http://hal.archives-ouvertes.fr/hal-00369230/fr/
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This paper considers the sliding mode control of uncertain systems with single or multiple, constant or time-varying state-delays, submitted to additive perturbations. The sliding surface is designed so to maximize the calculable set of admissible delays. The conditions for the existence of the sliding regime are studied by using Lyapunov-Krasovskii functionals and Lyapunov-Razumikhin functions. LMIs are used for the optimization procedure. Two examples illustrate the proposed method.