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Tangency property and prior-saturation points in planar minimal time problems

Abstract : In this paper, we address properties of the minimal time synthesis for control-affine-systems in the plane involving a saturation point for the singular control. First, we provide sufficient conditions on the data ensuring occurence of a prior-saturation point. Then, we show that the bridge (i.e., the optimal bang arc issued from the singular locus at this point) is tangent to the switching curve at the prior-saturation point. We illustrate these results on a fed-batch model in bioprocesses.
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Submitted on : Monday, August 31, 2020 - 6:23:07 PM
Last modification on : Monday, July 4, 2022 - 10:25:43 AM
Long-term archiving on: : Tuesday, December 1, 2020 - 1:01:09 PM


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  • HAL Id : hal-02926508, version 1


Térence Bayen, Olivier Cots. Tangency property and prior-saturation points in planar minimal time problems. International Federation of Automatic Control 2020 (IFAC 2020), Jul 2020, Berlin, Germany. ⟨hal-02926508⟩



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