Measures and LMI for space launcher robust control validation

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Event details

Date 15.05.2012
Hour 10:1511:15
Speaker Pr. D. Henrion, Laboratory for Analysis and Architecture of Systems, University of Toulouse, France, and Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic.
Location
Category Conferences - Seminars
We describe a new temporal verification framework for safety and robustness analysis of nonlinear control laws, our target application being a space launcher vehicle. Robustness analysis, formulated as a nonconvex nonlinear optimization problem on admissible trajectories corresponding to piecewise polynomial dynamics, is relaxed into a convex linear programming problem on measures. This infinite-dimensional problem is then formulated as a generalized moment problem, which allows for a numerical solution via a hierarchy of linear matrix inequality (LMI) relaxations solved by semidefinite programming. The approach is illustrated on space launcher vehicle benchmark problems, in the presence of closed-loop nonlinearities (saturations and deadzones) and axis coupling. This is joint work with Martine Ganet-Schoeller (EADS Astrium Space Transportation) and Samir Bennani (European Space Research and Technology Centre, European Space Agency).

Practical information

  • General public
  • Free

Organizer

  • Laboratoire d'Automatique

Contact

  • gregory.francois@epfl.ch

Tags

GM LA

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