Numerical Methods for H_∞ Control of Large-scale Systems

主讲人：Jan Heiland，Professor of Max Planck Institute Magdeburg

时间：2023年4月3日14:30

地点：三号楼126室

举办单位：数理学院

主讲人介绍：Jan Heiland graduated from the TU Berlin in 2009. After a short period working for Bombardier Transportation, he started a Ph.D. project at TU Berlin which he defended in 2014. Since then, he has been a researcher and team leader at the Max Planck Institute Magdeburg, Germany. In 2018, he was appointed Junior Professor at Otto von Guericke University of Magdeburg, and in 2021 became temporary full professor for data-driven design of dynamical systems at the FAU Erlangen/Nuremburg. Jan Heiland’s research interests include system and control theory and robust control, differential algebraic equations, infinite dimensional systems, model reduction, and design and simulation of control systems.

内容介绍：The underlying topic of this lecture is the development, analysis, and implementation of numerical algorithms for robust control and stabilization of (partial) differential equations. A particular focus lies on large-scale descriptor systems that play a role in the control of flows. Within the vast research field of numerical methods for control systems, we pursue the so-called H-infinity controller design that is designed to work even if the model is faulty. After an introduction into the basic notions and principles of dynamical systems and control, I will address the challenges that come with high-dimensional (or even infinite-dimensional) nonlinear systems and show some recent theoretical and numerical approaches to their solution. The findings and concepts are illustrated by the attempt to stabilize Navier-Stokes model equations so that a steady but unphysical flow state is maintained despite external perturbations.