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[INMA] 2012-03-13 (14.00) : Production d'un couple étalon adapté à une balance gravitationnelle réalisée à l'Observatoire Royal de Belgique

At Euler building

Speaker : François WIELANT (UCL)
Abstract : Le laboratoire d'instrumentation géodynamique de l¿Observatoire Royal de Belgique a développé un instrument à partir d¿un Pendule Vertical Symétrique (Symmetrical Vertical Pendulum, SVP), dont le but est d'établir une nouvelle mesure de la constante G. Ce pendule est utilisé comme balance de couples, introduits par le champ de pesanteur terrestre local g, ainsi que par un actionneur gravitationnel (paire de masses attractives en mouvement). La rotation (dans le champ de pesanteur terrestre) des aiguilles d¿une montre à Quartz fixée sur le bras pendulaire est utilisée pour produire un couple de comparaison périodique d'amplitude constante. Cette présentation traite de la conception d'un dispositif de calibration en vue de pouvoir étalonner le couple généré par les aiguilles de la montre, au sein d'un instrument pendulaire spécifique (fixer le rapport d'échelle entre les amplitudes des deux couples). Ce dispositif de calibration est constitué d'un moteur DC miniaturisé, effectuant une translation dans le champ de pesanteur d'un corps de masse connue avec grande précision (micro masse). La maîtrise du déplacement du corps de masse connue, au sein de l'instrument pendulaire, procure la précision attendue d'un système d'étalonnage. La qualité de l¿étalonnage proposée réside dans la maitrise du déplacement de la micro masse conduisant à un couple étalon de l'ordre de 10-7 Nm.
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[INMA] 2012-03-06 (14.00) : Constructive Feedback Linearization Of Mechanical Systems With Friction and Underactuation Degree One

At Euler building

Speaker : Lopez-Martinez, Manuel
Abstract : In this talk we present a constructive methodology to control a class of unstable underactuated mechanical systems with underactuation degree one, by means of classical feedback linearization and Lyapunov design. The design is presented proposing a dummy output that allows to solve the problem in a constructive way. We prove that the proposed output solves the problem obtaining an explicit and compact control law. The stability result of the obtained solution does not change when taking into account the friction effects even in the unactuated coordinate. The new result is applied to obtain a (almost) global stabilizing scheme for the VTOL aircraft model with strong input coupling.
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[INMA] 2012-02-28 (14.00) : Optimal experiment design for open and closed loop identification

At Euler building

Speaker : Gevers, Michel
Abstract : Optimal experiment design for system identification was a very active research topic in the 1970's: the results at that time focused on the minimization of different measures of the parameter covariance matrix. The research on this topic disappeared for more than a decade. In the mid eighties new results became available that focused on quality criteria that took account of the objective for which the model was estimated. These results were based on approximate variance formulae for the estimated transfer functions, under the assumption that the model order goes to infinity. Experiment design experienced a sudden revival of activity from around 2003 under a triple influence: the advent of new expressions for the variance of estimated quantities that did not require an assumption of model order going to infinity, the introduction of the concept of "least costly identification design", and the development of new optimal design techniques for identification that convert the optimization problem into semi-definite programs that can be solved using Linear Matrix Inequalities. In this talk we shall first review the development of optimal experiment design. We shall then present new results that allow one to solve the optimal closed loop experiment design problem, where the optimization is performed jointly with respect to the controller and the spectrum of the external excitation. Our results are based on the partial positive definite matrix completion theorem.
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[INMA] 2012-02-23 (16.30) : COLLOQUIUM CESAME/MAPA: Mathematics of pde constrained optimization

At CYCL01 (de Hemptinne)

Speaker : Prof. Dr. Michael HINZE (Fachbereich Mathematik, University of Hamburg)
Abstract : We discuss control problems with PDEs as subsidiary conditions and take special emphasis on (i) the proper functional analytic setting, (ii) tailored discrete concepts in the presence of additional pointwise constraints, and on (iii) structure exploiting solution algorithms. The theoretical results are supported by numerical experiments.
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[INMA] 2012-02-21 (14.00) : Random Walks on Networks: Dynamics and Teleportation

At Euler building

Speaker : Lambiotte, Renaud
Abstract : In this talk, I will focus on two problems related to random walks on networks. First, I will focus on random teleportation, which is a necessary evil for ranking and clustering directed networks based on random walks. Teleportation enables ergodic solutions, but the solutions must necessarily depend on the exact implementation and parametrization of the teleportation. For example, in the commonly used PageRank algorithm, the teleportation rate must trade off a heavily biased solution with a uniform solution. Here we show that teleportation to links rather than nodes enables a much smoother trade-off and effectively more robust results, and discuss the effect of teleportation on clustering. In the second part of my talk, I will focus on random walks on temporal networks, i.e. networks evolving in time. In particular, I will examine the effects of inter-event statistics on the dynamics of edges, and apply the concept of a generalized master equation to the study of continuous-time random walks on networks.
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