2024/11/15 by Schmitz, Philipp, Faulwasser, Timm, Rapisarda, Paolo +1
Computer Science · #Computer Science #Continuous time #Data-driven control #Differential flatness #Identifiable #Information and General Works::003: Systems Theory #Natural Sciences and Mathematics::515: Analysis #Persistency of excitation #Polynomial approximation #Technology::620: Engineering
paper · doi:10.15480/882.13660
Data-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.