A method for the reconstruction of unknown non-monotonic growth functions in the chemostat.
A method for the reconstruction of unknown non-monotonic growth functions in the chemostat.
复制标题
一种在恒化器中重建未知非单调生长函数的方法。
DOI：
10.1007/s00449-013-0912-8
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发表时间：
2013
影响因子：
3.8
通讯作者：
Sieber J
中科院分区：
文献类型：
--
作者：
Sieber J
我们提出了一种自适应控制律，它允许人们在不知道增长函数的情况下识别单种群恒化器模型中开环系统的不稳定稳态。然后，我们展示了如何使用这个控制律来跟踪(重建)增长函数的整个图形。绘制图形的过程可以连续执行，也可以逐步执行。我们介绍并比较了这两种方法。即使在两个种群竞争的情况下，由于缺乏可控性，我们的方法也不能直接接触到竞争，反馈控制提高了非主导增长率的可辨识性。
We propose an adaptive control law that allows one to identify unstable steady states of the open-loop system in the single-species chemostat model without the knowledge of the growth function. We then show how one can use this control law to trace out (reconstruct) the whole graph of the growth function. The process of tracing out the graph can be performed either continuously or step-wise. We present and compare both approaches. Even in the case of two species in competition, which is not directly accessible with our approach due to lack of controllability, feedback control improves identifiability of the non-dominant growth rate.