About prior saturation points for affine control systems (Journées MODE 2018, Autrans)

Abstract

International audienceWe consider minimal time control problems governed by an affine system w.r.t. the control. Our aim is to study properties of the optimalsynthesis in presence of a singular locus that involves a saturation point for the singular control. We show that the optimal synthesis exhibits a prior saturation point at the intersection of the singular arc and a switching curve,and we also discuss qualitative properties of this curve. We high light this phenomenon on several models arising in nuclear magnetic resonance andin bioprocesses