Print Email Facebook Twitter Iterative Learning in Functional Space for Non-Square Linear Systems Title Iterative Learning in Functional Space for Non-Square Linear Systems Author Della Santina, C. (TU Delft Learning & Autonomous Control; Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR)) Angelini, Franco (University of Pisa) Date 2021 Abstract Many control problems are naturally expressed in continuous time. Yet, in Iterative Learning Control of linear systems, sampling the output signal has proven to be a convenient strategy to simplify the learning process while sacrificing only marginally the overall performance. In this context, the control action is similarly discretized through zero-order hold - thus leading to a discrete-time system. With this paper, we want to investigate an alternative strategy, which is to track sampled outputs without masking the continuous nature of the input. Instead, we look at the whole input evolution as an element of a functional subspace. We show how standard results in linear Iterative Learning Control naturally extend to this context. As a result, we can leverage the infinite-dimensional nature of functional spaces to achieve exact tracking of strongly non-square systems (number of inputs less than outputs). We also show that constraints - like those imposed by intermittent control - can be naturally integrated within this framework. To reference this document use: http://resolver.tudelft.nl/uuid:47e276e2-5ce0-4a9a-a2f4-cecb02cc04b1 DOI https://doi.org/10.1109/CDC45484.2021.9683673 Publisher IEEE Embargo date 2022-07-01 ISBN 978-1-6654-3659-5 Source Proceedings of the 60th IEEE Conference on Decision and Control (CDC 2021) Event 60th IEEE Conference on Decision and Control (CDC 2021), 2021-12-14 → 2021-12-17, Austin, United States Bibliographical note 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. Part of collection Institutional Repository Document type conference paper Rights © 2021 C. Della Santina, Franco Angelini Files PDF Iterative_Learning_in_Fun ... ystems.pdf 2.11 MB Close viewer /islandora/object/uuid:47e276e2-5ce0-4a9a-a2f4-cecb02cc04b1/datastream/OBJ/view