Minimal time problem for a fed-batch bioreactor with a non admissible singular arc

被引：0

作者：

Bayen, Terence ^{[1
,2
]}

Mairet, Francis ^{[3
]}

Mazade, Marc ^{[1
]}

机构：

[1] Univ Montpellier 2, F-34095 Montpellier 5, France

[2] INRIA Sophia Antipolis Mediterranee, UMR INRA SupAgro MISTEA 729, INRA INRIA MODEMIC Team, F-34060 Montpellier, France

[3] Inria BIOCORE Team, F-06902 Sophia Antipolis, France

来源：

2014 EUROPEAN CONTROL CONFERENCE (ECC) | 2014年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider an optimal control problem for a system describing a fed-batch bioreactor with one species and one substrate. Our aim is to find an optimal feedback control in order to steer the system to a given target in minimal time. The growth function is of Haldane type implying the existence of a singular arc. Unlike many studies on the minimal time problem governed by an affine system w.r.t. the control with one input, we assume that the singular arc is non-necessary controllable. This brings interesting issues in terms of optimal synthesis. Thanks to the Pontryagin Maximum Principle, we provide the optimal synthesis of the problem, It turns out that singular extremal trajectories are no longer optimal on a subset of the singular arc.

引用

页码：165 / 170

页数：6

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