Control of Channel Flow Turbulence, Vortex Shedding, and Thermal Convection by Backstepping Boundary Control

This tutorial paper presents backstepping boundary control designs for fluid systems. It starts with an introduction of an output-feedback controller for the problem of vortex shedding around a cylindrical bluff body in the flow. It is then followed by a presentation of stabilization of the thermal convection loop. Finally, the paper concludes with a control design for the turbulent channel flow.