Abstract
In this master thesis, a data-driven modeling technique is proposed. It enables making predictions for general dynamic systems for unknown model parameter values or operating conditions. The tool is denoted as CNMccontrol-oriented Cluster-based Network Modeling. The most recent developed version delivered promising results for the chaotic Lorenz system (Lorenz 1963). Since, the earlier work was restricted to the application of only one dynamical system, with this contribution the first major improvement was to allow CNMccontrol-oriented Cluster-based Network Modeling to be utilized for any general dynamical system. For this, CNMccontrol-oriented Cluster-based Network Modeling was written from scratch in a modular manner. The limitation of the number of the dimension and the shape of the trajectory of the dynamical systems are removed. Adding a new dynamic system was designed such that it should be as straightforward as possible. To affirm this point, 10 dynamic systems, most of which are chaotic systems, are included by default. To be able to run CNMccontrol-oriented Cluster-based Network Modeling on arbitrary dynamic systems in an automated way, a parameter study for the modal decomposition method NMFNon-negative Matrix Factorization was implemented. However, since a single NMFNon-negative Matrix Factorization solution took up to hours, a second option was added, i.e., SVDSingular Value Decomposition. With SVDSingular Value Decomposition the most time-consuming task could be brought to a level of seconds. The improvements introduced, allow CNMccontrol-oriented Cluster-based Network Modeling to be executed on a general dynamic system on a normal computer in a reasonable time. Furthermore, CNMccontrol-oriented Cluster-based Network Modeling comes with its integrated post-processor in form of HTML files to inspect the generated plots in detail. All the parameters used in CNMccontrol-oriented Cluster-based Network Modeling some additional beneficial features can be controlled via one settings file.