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Séance MB2 - Chaînes de Markov / Markov Chains

Jour lundi, le 09 mai 2005
Salle Demers Beaulne
Président Michel Perrier

Présentations

15h30 Flatness-Based Extremum Seeking over Periodic Orbits
  Martin Guay, Queen's University, Chemical Engineering, Kingston, Ont, Canada
Nicolas Hudon, Queen's University, Chemical Engineering, Kingston, Ont, Canada
Michel Perrier, École Polytechnique de Montréal, Génie chimique, Montreal, Qc, Canada
Denis Dochain, Université Catholique de Louvain, CESAME, Louvain-la-Neuve, Belgium

This paper presents the application of extremum seeking to steer a periodic system to orbits that maximize a given functional. The problem is posed as a real-time optimal trajectory generation where differential flatness allows one to completely parameterize the trajectories by assigning paths in the flat output space.


15h55 Two Queues in Series with Cross-trained Workers
  Sapna Isotupa, Wilfrid Laurier University, School of Business and Economics, School of Business and Economics, Wilfrid Laurier University, Waterloo, Ontario, Canada, N2L 3C5

Consider two queues in series with finite waiting space and N cross trained workers who rotate between the two queues. The problem is to determine a policy for server movements that minimizes the loss probability. The problem is modeled as a semi-Markov decision problem and solved using linear programming.


16h20 Robust State Feedback Controller Design of Stochastic Descriptor Systems with Markovian Jumps
  Jamila Raouf, École Polytechnique de Montréal, Génie mécanique, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3A7
El-Kebir Boukas, École Polytechnique de Montréal, Génie mécanique, C.P. 6079, Succ.Centre-ville, Montréal, Québec, Canada, H3C 3A7

This paper deals with the stabilization and robust stabilization for descriptor systems with Markovian jumps and Wiener process. Our objective is to design, via a LMI optimization problem, a state feedback controller that guarantees the regularity, impulse-free and stochastic mean-square stability of the closed-loop system. The robustness problem is also tackled.


16h45 Stability and Robust Stability of Stochastic Descriptor Systems with Markovian Switching
  Jamila Raouf, École Polytechnique de Montréal, Génie mécanique, C.P. 6079, Succ. Centre-ville, Montréal, Québec, Canada, H3C 3A7
El-Kebir Boukas, École Polytechnique de Montréal, Génie mécanique, C.P. 6079, Succ.Centre-ville, Montréal, Québec, Canada, H3C 3A7

In this paper, we deal with the stability and robust stability, for the stochastic descriptor systems with Markovian jumps. Based on LMI technique, the proposed approaches derive sufficient conditions that guarantee that the closed-loop dynamics is regular, impulse-free and stochastically stable or robust stochastically stable in the case of norm-bounded uncertainties.