Distributed Control of Linearized Navier-Stokes Equations via Discretized Input/Output Maps

Jan 1, 2012·
Jan Heiland
Volker Mehrmann
· 0 min read
The 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.
Z. Angew. Math. Mech.