Laboratoire d’Analyse et d’Architecture des Systèmes
F.GOUAISBAUT, D.PEAUCELLE
MAC
Manifestation avec acte : 46th IEEE Conference on Decision and Control, New Orleans (USA), 12-14 Décembre 2007, pp.6328-6333 , N° 07129
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Stability analysis of uncertain time-delay systems is considered in a quadratic separation framework. Results are formulated in terms of Linear Matrix Inequalities (LMI) which prove to be conservative. But this conservatism is significantly reduced by combining several tools. Firstly, a fractioning of the delay is performed thus introducing knowledge on the functional defining the current state of the system. Secondly, a Taylor series approximation of the delay operator is performed and the Taylor remainder is explicitly taken into account with a new uncertainty-type approximation. Thanks to LMI formulation, and with the use of slack variables, robustness is guaranteed for all uncertainties and all delays included in some bounded interval which may not include zero.
Y.ARIBA, F.GOUAISBAUT, Y.LABIT
MAC, OLC
Rapport LAAS N°07553, Octobre 2007, 15p.
Diffusable
111664Y.LABIT, Y.ARIBA, F.GOUAISBAUT
MAC, OLC
Manifestation avec acte : 2nd IEEE International Workshop on Feedback Control Implementation and Design in Computing Systems and Networks (FeBID'07), Munich (Allemagne), 25 Mai 2007, pp.45-50 , N° 07092
Diffusable
110256D.PEAUCELLE, D.ARZELIER, D.HENRION, F.GOUAISBAUT
MAC
Revue Scientifique : Automatica, Vol.43, N°5, pp.795-804, Mai 2007 , N° 06095
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Topological separation is investigated in the case of an uncertain time-invariant matrix interconnected with an implicit linear transformation. A quadratic separator independent of the uncertainty is shown to prove losslessly the closed-loop well-posedness. Several applications for LTI descriptor system analysis are then given. First, some known results for stability and pole location of descriptor systems are demonstrated in a new way. Second, contributions to robust stability analysis and time-delay systems stability analysis are exposed. These prove to be new even when compared to results for usual LTI systems (not in descriptor form). All results are formulated as linear matrix inequalities (LMIs).
F.GOUAISBAUT, I.QUEINNEC, S.TARBOURIECH
MAC
Ouvrage (contribution) : Applications of time-delay systems, Vol.352, Lecture Notes in Control and Information Sciences, Springer Verlag, N°ISBN 978-3-540-49555-0, 2007, pp.77-95 , N° 06027
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109821F.GOUAISBAUT
MAC
Rapport de Contrat : Contrat CNES : DCT/SB/PS-2006-11190, Février 2007, 65p. , N° 07107
Diffusion restreinte
109479F.GOUAISBAUT, D.PEAUCELLE
MAC
Manifestation avec acte : 45th IEEE Conference on Decision and Control (CDC'2006), San Diego (USA), 13-15 Décembre 2006, pp.840-845 , N° 06123
Diffusable
108626Y.ARIBA, F.GOUAISBAUT, Y.LABIT
MAC, OLC
Rapport LAAS N°06545, Septembre 2006, 9p.
Diffusable
107652Y.ARIBA, Y.LABIT, F.GOUAISBAUT
OLC, MAC
Rapport LAAS N°06624, Septembre 2006, 3p.
Diffusable
107855F.GOUAISBAUT, D.PEAUCELLE
MAC
Manifestation avec acte : 6th IFAC Workshop on Time-Delay Systems, L'aquila (Italie), 10-12 Juillet 2006, 12p. , N° 06096
Diffusable
109020