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Minimal time control of the two tanks gradostat model under cascade inputs constraint

Abstract : We study the minimum time control problem of a series of two interconnected chemostats under the input constraint u(2) <= u(1), where u(i) are the respective dilution rates in the tanks. This constraint brings controllability issues in the study of the optimal strategies. We encounter this difficulty by splitting the state domain into two sub-domains, one with no lack of controllability of the target, and its complementary is such that any optimal control fulfills u(1) = u(2). We explicit the complete optimal synthesis that depends on the position of the target with respect to a semi-permeable curve that passes through a steady-state singular point.
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https://hal.inria.fr/hal-01086152
Contributor : Alain Rapaport <>
Submitted on : Saturday, November 22, 2014 - 5:32:16 PM
Last modification on : Monday, August 31, 2020 - 4:43:04 PM

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Terence Bayen, Alain Rapaport, Matthieu Sebbah. Minimal time control of the two tanks gradostat model under cascade inputs constraint. European Control Conference ECC2014, Université de Strasbourg (Unistra). France, FRA. IEEE Control Systems Society., Jun 2014, Strasbourg, France. pp.1256 - 1261, ⟨10.1109/ECC.2014.6862148⟩. ⟨hal-01086152⟩

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