A Reduced Order Model of the Linearized Incompressible Navier-Stokes Equations for the Sensor/Actuator Placement Problem
نویسندگان
چکیده
A reduced order modeling approach of the Navier-Stokes equations is presented for the design of a distributed optimal feedback kernel. This approach is based on a Krylov subspace method where significant modes of the flow are captured in the model. This model is then used in an optimal feedback control design where sensing and actuation is perlormed on the entire flow field. This control design approach yields an optimal feedback kernel which provides insight into the placement of sensors and actuators in the flow field. As an evaluation of this approach, a two-dimensional shear layer and driven cavity flow are investigated. Key words, Navier-Stokes equations, feedback control, sensor/actuator placement, active flow control Subject classification, Applied Numerical Mathematics, Controls
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