180documents trouvés
Resilient structured periodic H2 synthesis for a spacecraft in elliptical orbits
C.FARGES, D.PEAUCELLE, A.THERON, D.ARZELIER
MAC
Manifestation avec acte : 17th IFAC Symposium on Automatic Control in Aerospace (ACA 2007), Toulouse (France), 25-29 Juin 2007, 6p. , N° 07065
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Abstract
Station-keeping of a small spacecraft is studied and a solution based on resilient periodic state-feedback control laws is proposed. Linearized equations of the relative motion of the satellite near an eccentric reference orbit are derived in the presence of the second zonal gravitational harmonic J2 and atmospheric drag perturbations. After a discretization of the model, a resilient H2 state-feedback control law is computed by a linear matrix inequality-based algorithm. Illustrative nonlinear simulations show the efficiency of the approach.
Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation
D.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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Abstract
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).
Mots-Clés / Keywords
LMI; Control;
LMI formulation for the resilient dynamic output feedback stabilization of linear periodic systems
C.FARGES, D.PEAUCELLE, D.ARZELIER
MAC
Revue Scientifique : International Journal of Tomography & Statistics, Vol.6, N°S07, pp.74-79, 2007 , N° 05569
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109622A sliding mode control approach for systems subjected to a norm bounded uncertainty
A.SELLAMI, D.ARZELIER, R.MHRIDI, J.ZRIDA
MAC, ESSTT, Tunis
Revue Scientifique : International Journal of Robust and Nonlinear Control, Vol.17, N°4, pp.327-346, Mars 2007 , N° 06615
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Abstract
This paper proposes a design approach of continuous sliding mode control of uncertain systems, the uncertainty being norm bounded. The two steps of the design methodology are investigated. The existence step, in which we choose the sliding surface that gives good behaviour during the sliding mode, is formulated as a pole assignment of linear uncertain system in a sector through convex optimization. The solution to this problem is therefore numerically tractable via linear matrix inequalities (LMI) optimization. In the reaching step, we propose a continuous nonlinear control strategy ensuring a bounded motion about the ideal sliding mode, thus approximating the ideal dynamic behaviour in the presence of uncertainty. Finally, the validity and the applicability of this approach are illustrated by a flight stabilization benchmark example.
Mots-Clés / Keywords
Variable structure control; Sliding mode; Norm bounded uncertainty;
Robust H2 performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs
C.FARGES, D.PEAUCELLE, D.ARZELIER, J.DAAFOUZ
MAC, CRAN-ENSEM
Revue Scientifique : Systems & Control Letters, Vol.56, N°2, pp.159-166, Février 2007 , N° 05407
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Abstract
A particular class of uncertain linear discrete-time periodic systems is considered. The problem of robust stabilization of real polytopic linear discrete-time periodic systems via a periodic state-feedback control law is tackled here, along with H2 performance optimization. Using additional slack variables and the periodic Lyapunov lemma, an extended sufficient condition of robust H2 stabilization is proposed. Based on periodic parameter-dependent Lyapunov functions, this last condition is shown to be always less conservative than the more classic one based on the quadratic stability framework. This is illustrated on a numerical example from the literature.
Mots-Clés / Keywords
Linear periodic discrete-time systems; Polytopic uncertainty; Robust stability; Quadratic stability; Parameter-dependent Lyapunov functions; H2, H¥ Performances; LMI;
Commande et estimation décentralisées : un état de l'art raisonné
D.ARZELIER
MAC
Rapport de Contrat : Convention CNES N°60578/00, Février 2007, 69p. , N° 07094
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109464Robust multi-objective control toolbox
D.PEAUCELLE, D.ARZELIER
MAC
Manifestation avec acte : 2006 IEEE International Conference on Control Applications, Munich (Allemagne), 4-6 Octobre 2006, pp.1152-1157 , N° 06086
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107912Commande robuste en optique adaptative
D.ARZELIER, C.BAUDOIN, C.PRIEUR
MAC, ALCATEL ESPACE
Rapport LAAS N°06635, Septembre 2006, 22p.
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107867General polynomial parameter-dependent Lyapunov functions for polytopic uncertain systems
D.PEAUCELLE, Y.EBIHARA, D.ARZELIER, T.HAGIWARA
MAC, Kyoto
Manifestation avec acte : 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS'2006), Kyoto (Japon), 24-29 Juillet 2006, pp.2238-2242 , N° 06031
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107523Robust control of a bimorph mirror for adaptive optics system
L.BAUDOUIN, C.PRIEUR, D.ARZELIER
MAC
Manifestation avec acte : 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS'2006), Kyoto (Japon), 24-28 Juillet 2006, pp.959-972 , N° 06011
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