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The method will be applied to the control of a space launcher, where time and frequency domain contraints are to be robustly satisfied.
When considering 5000 log-normally distributed parameter values in the 16 D parameter space, we estimated the robustness of the system as : the specification is not robustly satisfied.
By employing specialized explicit upper estimates for the nonlinear terms in the dynamics we propose a strategy to design a linear control law which guarantees that given constraints on the states and controls are robustly satisfied when running the system in closed-loop mode.
Moreover, the closest property robustly satisfied (i.e. such that can provide interesting hints for the system's design: because, it suggests that only the first value in ϕ (i.e. the maximum of [A] in T) needs to be modified.
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Given a family we say that is robustly verified by ℱ, in short robust, if it is satisfied by each element of ℱ. Countless examples can be brought about families ℱ and candidate properties.
A novel method is proposed to ensure that the obtained closed-loop model is robustly stochastically stable and satisfies the desired detection and control performances.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com