Heiland, JanMehrmann, Volker2021-12-172021-12-172011-07-042197-8085https://depositonce.tu-berlin.de/handle/11303/15719http://dx.doi.org/10.14279/depositonce-14492The construction of reduced order models for flow control via a direct discretization of the input/output behavior of the system is discussed. The spatially discretized equations are linearized such that an explicit formula for the corresponding input/output map can be used to generate a matrix representation of the input/output map. Estimates for the approximation error are derived and the applicability is illustrated via a numerical example for the control of a driven cavity flow.en510 Mathematikreduced order modellingflow controlDistributed Control of Linearized Navier-Stokes Equations via Discretized Input/Output MapsResearch Paper