Laboratoire d’Analyse et d’Architecture des Systèmes
M.Z.OLIVEIRA, J.M.GOMES DA SILVA Jr, D.F.COUTINHO, S.TARBOURIECH
UFRGS, UFSC, MAC
Manifestation avec acte : IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011), Orlando (USA), 12-15 Décembre 2011, pp.4797-4802 , N° 11703
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126150M.FIACCHINI, S.TARBOURIECH, C.PRIEUR
MAC, GIPSA-Lab
Manifestation avec acte : IEEE Conference on Decision and Control and European Control Conference (CDC-ECC 2011), Orlando (USA), 12-15 Décembre 2011, pp.7343-7348 , N° 11596
Lien : http://hal.archives-ouvertes.fr/hal-00637455/fr/
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The characterization of invariance and contractiveness for discrete-time saturated linear systems is considered. The geometrical approach used to analyze the problem leads to conditions valid for generic symmetric convex sets. The application of the results to the ellipsoidal case generalizes known results and leads to computational improvements.
M.FIACCHINI, S.TARBOURIECH, C.PRIEUR
GIPSA-Lab, MAC
Revue Scientifique : IEEE Transactions on Automatic Control, Vol.57, N°7, pp.1832-1838, Décembre 2011, , N° 11706
Lien : http://hal.archives-ouvertes.fr/hal-00711862
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The problems of characterizing quadratic stability and computing an estimation of the domain of attraction for saturated hybrid systems are addressed. Hybrid systems presenting saturations and nested saturations on signals involved in both the continuous-time and the discrete-time dynamics are considered. Geometrical characterizations of local and global quadratic stability are provided. Computation oriented conditions for quadratic stability are given in form of convex constraints.
F.A.BENDER, J.M.GOMES DA SILVA Jr, S.TARBOURIECH
UFRGS, MAC
Revue Scientifique : IET Control Theory & Applications, Vol.5, N°12, pp.1388-1396, Décembre 2011 , N° 11737
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126370C.PRIEUR, S.TARBOURIECH
GIPSA-Lab, MAC
Papier invité dans une revue : International Journal of Robust and Nonlinear Control. Special Issue, Vol.20, N°10, 3p., Octobre 2011 , N° 11736
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126368L.HETEL, J.DAAFOUZ, S.TARBOURIECH, C.PRIEUR
LAGIS, CRAN, Vandoeuvre, MAC, GIPSA-Lab
Manifestation avec acte : World IFAC Congress (IFAC 2011), Milan (Italie), 28 Août - 2 Septembre 2011, pp.2395-2400 , N° 11374
Lien : http://hal.archives-ouvertes.fr/hal-00573989/fr/
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In this paper the class of linear impulsive systems is considered. These systems are those with a continuous linear dynamics for all time, except at a sequence of instants. When such a discrete time occurs, the state undergoes a jump, or more precisely follows a discrete linear dynamics. The sequence of time instants, when a discrete dynamics occurs, is nearly- periodic only, i.e. it is distant from a periodic sequence to an uncertain distance. This paper succeeds to state tractable conditions to analyze the stability, and to design reset matrices such that the hybrid system is globally asymptotically stable to the origin. The approach is based on a polytopic embedding of the uncertain dynamics. An example illustrates the main stability result.
M.Z.OLIVEIRA, J.M.GOMES DA SILVA Jr, D.F.COUTINHO, S.TARBOURIECH
UFRGS, UFSC, MAC
Conférence invitée : World IFAC Congress (IFAC 2011), Milan (Italie), 28 Août - 2 septembre 2011, pp.13432-13437 , N° 11372
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125210S.TARBOURIECH, F.GOUAISBAUT
MAC
Conférence invitée : World IFAC Congress (IFAC 2011), Milan (Italie), 28 Août - 2 Septembre 2011, pp.2338-2343 , N° 11373
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125211C.PRIEUR, S.TARBOURIECH, L.ZACCARIAN
GIPSA-Lab, MAC, Rome
Manifestation avec acte : World IFAC Congress (IFAC 2011), Milan (Italie) , 28 Août - 2 Septembre 2011, pp.6301-6306 , N° 11371
Lien : http://hal.archives-ouvertes.fr/hal-00573991
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Considering a linear system, we construct hybrid loops consisting in a (possibly non stabilizing) given linear dynamic continuous-time controller with a jump rule when some conditions of the state occur. This allows us to study the performance improvement problem. More precisely, we firstly show the interest of an hybrid loop to maximize the decay rate when the gain of the controller is limited. Secondly, we show how adding a hybrid loop can be useful to reduce the overshoot of an output. The proposed approaches are illustrated on two examples.
V.ANDRIEU, C.PRIEUR, S.TARBOURIECH, D.ARZELIER
MAC
Revue Scientifique : Systems & Control Letters, Vol.60, N°8, pp.570-578, Août 2011 , N° 10584
Lien : http://hal.archives-ouvertes.fr/hal-00594092/fr/
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Global asymptotic stabilization for a class of nonlinear systems is addressed. The dynamics of these systems are composed of a linear part to which is added some nonlinearities which satisfy two different sector bound conditions depending on whether the state is near or far from the origin. The proposed approach is based on the uniting of control Lyapunov functions. In this framework, the stabilization problem may be recast as an LMI optimization problem for which powerful semidefinite programming softwares exist. This is illustrated by means of three numerical examples.