Measures and LMI for space launcher robust control validation
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.
Keywords
Cite
@article{arxiv.1205.2168,
title = {Measures and LMI for space launcher robust control validation},
author = {Didier Henrion and Martine Ganet-Schoeller and Samir Bennani},
journal= {arXiv preprint arXiv:1205.2168},
year = {2012}
}