Schmitz, PhilippPhilippSchmitzFaulwasser, TimmTimmFaulwasserRapisarda, PaoloPaoloRapisardaWorthmann, KarlKarlWorthmann2024-11-152024-11-152024-12-01Systems and Control Letters 194: 105950 (2024)https://hdl.handle.net/11420/51835Data-driven control of discrete-time and continuous-time systems is of tremendous research interest. In this paper, we explore data-driven optimal control of continuous-time linear systems using input–output data. Based on a density result, we rigorously derive error bounds for finite-order polynomial approximations of elements of the system behavior. To this end, we leverage a link between latent variables and flat outputs of controllable systems. Combined with a continuous-time counterpart of Willems et al.’s fundamental lemma, we characterize the suboptimality resulting from polynomial approximations in data-driven linear–quadratic optimal control. Finally, we draw upon a numerical example to illustrate our results.en1872-79562024Elsevierhttps://creativecommons.org/licenses/by/4.0/Continuous timeData-driven controlDifferential flatnessIdentifiablePersistency of excitationPolynomial approximationTechnology::620: EngineeringNatural Sciences and Mathematics::515: AnalysisComputer Science, Information and General Works::003: Systems TheoryJournal Article10.15480/882.1366010.1016/j.sysconle.2024.10595010.15480/882.13660Journal Article