Feedback stabilization for a chemostat with delayed output
We apply basic tools of control theory toa chemostat model that describes the growth of onespecies of microorganisms that consume a limiting substrate. Under theassumption that available measurements of the model have fixed delay$\tau>0$, we design a family of feedback control laws with the objec...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2009-05-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.629 |
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| Summary: | We apply basic tools of control theory toa chemostat model that describes the growth of onespecies of microorganisms that consume a limiting substrate. Under theassumption that available measurements of the model have fixed delay$\tau>0$, we design a family of feedback control laws with the objective of stabilizing the limiting substrate concentration in a fixedlevel. Effectiveness of this control problem is equivalent to global attractivity of a family of differential delay equations. We obtain sufficient conditions (upper bound for delay $\tau>0$ andproperties of the feedback control) ensuring global attractivity and localstability. Illustrative examples are included. |
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| ISSN: | 1551-0018 |