Research report 2011 - Max Planck Institute for Dynamics of Complex Technical Systems
Compact models for simulation, control and optimization of complex dynamical systems
Systemtheoretische Grundlagen der Prozess- und Bioprozesstechnik (Peter Benner)
SummaryModel reduction significantly accelerates the computer simulation of dynamical systems. It facilitates or even enables their control and optimization. Thus, model reduction is becoming more and more an indispensable tool in computational sciences and engineering. The mathematical model of the dynamical process is replaced by a compact model. Simulating the compact model is then often sufficient to obtain the quantities of interest of the process. We will give a brief introduction into the model reduction of dynamical systems and illustrate its potential using some engineering applications.