Section: New Results

Averaging in control

Participants : Bernard Bonnard, Helen-Clare Henninger, Jean-Baptiste Pomet.

A reference paper on the construction and properties of an “average control system” [2] is to be published; it is based on Alex Bombrun's doctoral work (2007). It connects solutions of highly oscillating control systems to those of an average control system, when the frequency of oscillation goes high.

This average system in the case of minimum time for low thrust orbit transfer in the two body problem is currently being explored, in particular the study of its inherent singularities. Helen Henninger's PhD aims at going much further in this direction and then apply this local study to real missions, possibly in a three-body environment.