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arXiv · 1205.2168

Measures and LMI for space launcher robust control validation

Didier Henrion·Martine Ganet-Schoeller·Samir Bennani
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Abstract

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 relaxations solved by semidefinite programming. The approach is illustrated on space launcher vehicle benchmark problems, in the presence of closed-loop nonlinearities (saturations and dead-zones) and axis coupling.

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Didier Henrion, Martine Ganet-Schoeller, Samir Bennani. 2012-05-10. Measures and LMI for space launcher robust control validation. https://arxiv.org/abs/1205.2168

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