Output Feedback Boundary Control of a Ginzburg–Landau Model of Vortex Shedding

An exponentially convergent observer is designed for a linearized Ginzburg-Landau model of vortex shedding in viscous flow past a bluff body. Measurements are restricted to be taken collocated with the actuation which is applied on the cylinder surface. The observer is used in conjuction with a state feedback boundary controller designed in previous work to attenuate vortex shedding. While the theoretical results apply to the linearized system under sufficiently smooth initial data that satisfy the boundary conditions, simulations demonstrate the performance of the linear output feedback scheme on the nonlinear plant model