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R-RoMulOC is a freely distributed toolbox which aims at making easilyavailable to the users different optimization-based methods for dealing withuncertain systems. It implements both deterministic LMI-based results, thatprovide guaranteed performances for all values of the uncertainties, andprobabilistic randomization-based approaches, that guarantee performances forall values of the uncertainties except for a subset with arbitrary smallprobability measure. The paper is devoted to the description of these twoapproaches for analysis and control design when applied to a satellitebenchmark proposed by CNES, the French Space Agency. The paper also describesthe modeling of the DEMETER satellite and its integration into the R-RoMulOCtoolbox as a challenging test example. Design of state-feedback controllers andclosed-loop performance analysis are carried out with the randomized and robustmethods available in the R-RoMulOC toolbox.

Randomized and robust methods for uncertain systems using R-RoMulOC, with applications to DEMETER satellite benchmark