Iterative Robust Experiment Design for MIMO System Identification via the S-Lemma

Iterative Robust Experiment Design for MIMO System Identification via the S-Lemma

Dirkx, Nic (ASML; Eindhoven University of Technology)
Tiels, Koen (Eindhoven University of Technology)
Oomen, T.A.E. (TU Delft Team Jan-Willem van Wingerden; Eindhoven University of Technology)

2023

Optimal input design plays an important role in system identification for complex and multivariable systems. A known paradox in input design is that the optimal inputs depend on the true but unknown system. The aim of this paper is to design inputs for multivariable systems that are robust to all system variations within a given continuous uncertainty set. In the presented approach, the robust design problem is cast as an infinite-dimensional min-max optimization problem, and tackled via the S-lemma in an iterative approximation scheme. Experimental results from a multivariable motion system show that the algorithm enables significant robustness improvements.

http://resolver.tudelft.nl/uuid:2c549358-828b-4b33-be55-98d05f568a68

https://doi.org/10.1109/CCTA54093.2023.10252362

IEEE

2024-03-22

979-8-3503-3544-6

Proceedings of the 2023 IEEE Conference on Control Technology and Applications, CCTA 2023

2023 IEEE Conference on Control Technology and Applications, CCTA 2023, 2023-08-16 → 2023-08-18, Bridgetown, Barbados

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Institutional Repository

conference paper

© 2023 Nic Dirkx, Koen Tiels, T.A.E. Oomen