Research projects

Papers and preprints

• Balanced truncation with conformal maps, Alessandro Borghi, Tobias Breiten and Serkan Gugercin, Arxiv. See here for the code.
• H2 optimal rational approximation on general domains, Alessandro Borghi and Tobias Breiten, Adv Comput Math 50, 28 (2024). doi 10.1007/s10444-024-10125-8.
  ArXiv and code are also publicly available.
• Match-based solution of general parametric eigenvalue problems, Alessandro Borghi and Davide Pradovera, ArXiv. See here for the code.

Thesis

• PhD research: “Structure-preserving model reduction for the efficient computation of exceptional points in thermoacoustic spectra” Project of DAEDALUS
• Master thesis topic: “Koopman subspace identification in the presence of measurement noise” (see also here)
  The project dealt with computing a matrix approximation of the Koopman operator from noisy training data. For this purpose we developed a robust subspace-identification-based data-driven modeling technique.
• Second Bachelor thesis at Beckhoff automation: “Simulation and implementation of the input shaping technique for a flexible transmission system”:
  In this project we simulated the input shaping technique for a flexible transmission system using MATLAB for residual vibration cancellation. The algorithm was then implemented in TwinCAT for a real test scenario. Here a PLC would control an electric motor connected to a recirculating ball screw which would move a beam with a mass on top.
• Bachelor thesis: “Comparison of three fuzzy controllers for an industrial linear axis”:
  Here we compared three fuzzy logic controllers applied to an AC Brushless motor attached to a recirculating ball screw. The controllers were designed in Simulink and applied to the electric drives through TwinCAT. These controllers would then be applied to the six axes of a Gough-Stewart platform for in vitro tests on human joints.