Linear optimal control of transition in plane channel flows using different objective functions

Control of transition in plane channel flows can be achieved by applying linear optimal control to the state equations obtained by a suitable discretization of the Fourier transformed and linearized Navier-Stokes equations. Different flow properties can be affected through the choice of the objective function used for optimal control. In the present work, various control algorithms have been obtained by using full state feedback. The objective function has been chosen using a measure of the energy of flow perturbations, with various weight matrices. The performance of the controllers thus designed has been studied.