Project «Interpolation-Based Numerical Methods in Robust Control»

In robust control, the discrepancy between a real process and the model chosen for its description, is taken into account for controller design. This is of essential significance in practice, since mathematical models can only describe a real process approximately. Therefore, it is necessary that desired performance requirements such as the suppression of external disturbances and a good reference tracking, as well as the stability of the closed-loop system are not only guaranteed for the nominal model but for a family of models. In this manner, modelling and approximation errors can be addressed. The goal of this project is the development of novel design techniques for (robust) H∞-controllers for the case of dynamical systems with a large state-space dimension and/or with delays. To address this issue we plan to build optimization-based procedure that constructs reduced controllers by using adaptive interpolatory model reduction techniques on the given plant model. 

Duration of project

01.01.2020 – 31.12.2022

Collaborators

  • Paul Schwerdtner, research assistant and doctoral student, Technische Universität Berlin, Germany
  • Amon Lahr, student research assistant and master student (until August 2021), Technische Universität Berlin, Germany

Funding

  • Deutsche Forschungsgemeinschaft (reference number VO2243/2-1, in total € 300’966 (incl. overhead))

Links

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