MAgdeburg Lectures in Optimization and Control
We are very happy to announce the first talk in 2020 of the MAgdeburg Lectures on Optimization and Control (MALOC) series, this time organized by the SIAM Student Chapter Magdeburg and given by Prof. Zoran Tomljanović from J. J. Strossmayer University of Osijek, Croatia. The MALOC lectures are a special format, where every semester experts from the field of control and optimization are invited to come to Magdeburg to present their latest research to mathematicians, engineers and every interested person here in Magdeburg.
Due to the still unusual circumstances, this lecture will not happen in person but be an an online event, so feel free to join from anywhere in the world, where you have an internet connection ;-)
Further information are given below.
We consider vibration analysis and vibration reduction for mechanical systems. Vibration reduction is very important in the study of mechanical systems and it is usually achieved by damping optimization. In damping optimization, the principal goal is to determine an optimal external damping matrix which will ensure optimal evanescence of systemâ€™s solution (i.e. evanescence of deviation from its equilibrium). One can consider different optimality measures for that purpose, which depend on particular applications. Thus, in the first part of the talk we present problem formulation and give an overview of a different optimality measures. In the second part of the talk we are focused on sampling-free model reduction of systems, which can be applied for efficient damping optimization. Furthermore, t his can be also applied for model reduction of linear dynamical systems having an affine parameter dependence that allow low-rank variation in the state matrix. We propose an approach that requires neither parameter sampling nor parameter space exploration. Instead, we represent the system response function as a composition of four subsystem response functions that are nonparametric with a purely parameter-dependent function. The parametric structure of our reduced system representation lends itself very well to the development of optimization strategies making use of efficient cost function surrogates. We discuss this in detail for damping optimization of vibrating structures. We illustrate our approach on a class of numerical examples.
Time & Place
The online presentation on Friday, September 25, 2020 will be start at 3.00 p.m..
To see the online presentation please visit this link: