Feedforward Control of Coupled, Competing Population Systems based on Input-/Output-Models

基于对种内竞争种群系统的基于模型的控制设计方法，本研究项目的目标是推导出两个耦合种间竞争种群系统的输入输出模型和控制方法。考虑到一个单一的人口，它已被证明，人口密度，它可以控制的稀释率，有一个年龄结构固定的系统参数，它只能在振幅随时间的变化。然而，由于生物体的不同行为取决于它们的年龄，因此希望影响这种结构，例如，在给定时间最大化总种群的代谢活性。因此，第二个补助期现在将研究如何影响这种年龄结构。将回答年龄结构如何受到与第二人口的耦合的影响。问题是，是否可以对第二物种的系统参数提出要求，使得可以以期望的方式影响第一物种的年龄结构。影响年龄结构的另一个选择，这将在本资助期进行研究，是作为第二个控制输入的再循环率。这将回答这个额外的稀释率，它进入成比例的稳态配置文件，影响年龄结构，剩下的问题是，以何种方式，它是可能的扩展的分析解决方案的方法，从第一个赠款期间的两个耦合的人口系统的控制任务的实现。这种耦合在多大程度上影响了系统的分析方法，以及可以使用哪些策略来找到允许从第一个资助期起应用该方法的系统表示。理论发现将使用Permittistat反应器进行实验验证。该反应器反映了各种相关应用的简化实现，例如废水处理厂和蛋白质合成生物反应器。在生物应用方面，第二个资助期内的研究将使我们对该系统有更深入的了解，并为耦合种群系统的基于模型的控制开发合适的方法。

Based on the approach to model-based control design for an intraspecific competitive population system, the goal in this research project is to derive methods that lead to input-output models and controls based on them, for two coupled interspecific competitive population systems. Considering a single population, it has been shown that the population density, which can be controlled by the dilution rate, has an age structure fixed by the system parameters, which can only be influenced in amplitude over time. However, due to the different behaviors of the organisms depending on their age, it is desirable to influence this structure, for example, to maximize the metabolic activity of the total population at a given time. Therefore, the second grant periode will now investigate how this age structure can be influenced. It will be answered how the age structure is influenced by the coupling to a second population. The question is whether requirements can be made to the system parameters of a second species so that the age structure of the first species can be influenced in a desired way. Another option to influence the age structure, which will be investigated in this grant periode, is the recycling rate as a second control input. It will be answered how this additional dilution rate, which enters proportionally to the steady-state profile, affects the age structure.The remaining question is, in which way it is possible to extend the analytical solution methodology from the first grant period to two coupled population systems for the realization of control tasks. To what extent does the coupling influence the analytical approach to the system and which strategies can be used to find a system representation that allows the application of the methodology from the first grant period.The theoretical findings will be validated experimentally using a Permittistat-reactor. This reactor reflects a simplified realization of a variety of relevant applications such as wastewater treatment plants and bioreactors for protein synthesis. In terms of biological application, the investigation in the second grant period will allow to gain a deeper understanding of the system and to develop suitable approaches for model-based control of coupled population systems.