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

基于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两个耦合的种间竞争种群系统的输入-输出模型和基于模型的控制方法。对于单个种群，研究表明，可以由稀释率控制的种群密度具有由系统参数固定的年龄结构，该年龄结构只能在振幅上随时间变化。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体的代谢活动。因此，第二个赠款期现在将调查如何影响这一年龄结构。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个物种的系统参数提出要求，以便以期望的方式影响第一个物种的年龄结构。影响年龄结构的另一个备选办法是将回收率作为第二个控制投入，这将在本赠款期间进行研究。将回答这个额外的稀释率，它进入成比例的稳态剖面，如何影响年龄结构。剩下的问题是，怎样才能将第一个赠款期的分析解决方法推广到两个耦合的人口系统，以实现控制任务。耦合在多大程度上影响系统的分析方法，以及可以使用哪些策略来找到允许从第一个拨款期开始应用该方法的系统表示。这些理论发现将在实验中用Permittistat-reactor进行验证。该反应器反映了多种相关应用的简化实现，如废水处理厂和用于蛋白质合成的生物反应器。在生物学应用方面，第二个资助期的调查将使我们对该系统有更深入的了解，并为基于模型的耦合种群系统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.