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Modélisation, analyse de performance et commande des systèmes à événements discrets

Abstract : This report concerns the modeling and the analysis of timed and time Event Graphs (EG), by means of algebraic tools used in conventional algebra. The mathematical modeling of these Discrete Event Dynamic Systems (DEDS) is to transform the dater inequalities to a complete system of linear inequalities. It leads to a polyhedral writing of the form Ax b. An algebraic technique for expressing the earliest trajectories and synthesis of control under the criterion of just-in-time to a timed event graphs uses the concepts of order components, lattice and monotone inequality. We analyze the performance of p-timed event graphs, the general form obtained becomes a problem of linear programming which aims to calculate the maximum and minimum cycle time of a P-timed event graphs. In another part, we set up model inputs/outputs is close to the equation of state of classic automatic. Then, applying a formulation of linear programming, the earliest and latest trajectories are calculated using an objective function. Finally, we consider the problem of tracking trajectory on receding horizon.
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Submitted on : Monday, September 10, 2012 - 2:32:44 PM
Last modification on : Tuesday, May 7, 2019 - 6:30:06 PM
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  • HAL Id : tel-00730500, version 1

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Abdelhak Guezzi. Modélisation, analyse de performance et commande des systèmes à événements discrets. Automatique. Université d'Angers, 2010. Français. ⟨tel-00730500⟩

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