Published in IEEE Control Systems Letters, 2023
This paper is a first step towards theoretical results on the optimality of POD for data-driven control.
Recommended citation: R. Newton, Z. Du, P. Seiler and L. Balzano, "Optimality of POD for Data-Driven LQR With Low-Rank Structures," in IEEE Control Systems Letters, vol. 8, pp. 85-90, 2024, doi: 10.1109/LCSYS.2023.3344147. https://ieeexplore.ieee.org/document/10365496
Published in 2023 59th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2023
This paper develops a Grassmannian algorithm to optimize orthogonally projected reduced-order models.
Recommended citation: R. Newton, Z. Du, L. Balzano and P. Seiler, "Manifold Optimization for Data Driven Reduced-Order Modeling," 2023 59th Annual Allerton Conference on Communication, Control, and Computing (Allerton) , Monticello, IL, USA, 2023, pp. 1-6, doi: 10.1109/Allerton58177.2023.10313500. https://ieeexplore.ieee.org/document/10313500