MODEL-BASED COMPUTATION OF FUNCTIONAL GAINS FOR FEEDBACK CONTROL OF VORTEX SHEDDING

Proper orthogonal decomposition (POD) is used to develop a reduced-order model of the flow past a circular cylinder. We introduce a control mechanism into the reduced-order model as a means to favorably perturb the flow to reduce vortex shedding. The feedback control for the fluid actuators is represented in terms of functional gains. These functional gains are integral kernels of the standard feedback operator and are useful in control of partial differential equations. These functional gains give Lis physical insight into how the control mechanism is operating. In some cases, these functional gains can provide information about the optimal placement of actuators and sensors.