In a recent paper it was shown how a matrix S-lemma can be applied to construct controllers from noisy data. The current paper complements these results by proving a matrix version of the classical Finsler's lemma. This matrix Finsler's lemma provides a tractable condition under which all matrix solutions to a quadratic equality also satisfy a quadratic inequality. We will apply this result to bridge known data- driven control design techniques for both exact and noisy data, thereby revealing a more general theory. The result is also applied to data-driven control of Lur'e systems.
|The 60 IEEE Conference on Decision and Control
|Published - 1-feb.-2022
|The 60th IEEE conference on Decision and Control (CDC 2021) - Austin, Texas, United States
Duur: 13-dec.-2021 → 17-dec.-2021
|The 60th IEEE conference on Decision and Control (CDC 2021)
|13/12/2021 → 17/12/2021