Goman-Khrabrov model on pitching airfoils with flow control

Measurements of the lift coefficient history obtained from a NACA 0018 airfoil undergoing pitching maneuvers with blowing-type active flow control were used to obtain low-dimensional models for control. A family of disturbance models for the lift response to pitching at different steady state blowing amplitudes was based on a variation of the Goman-Khrabrov model. A plant model for the lift response to sinusoidal blowing amplitude had the form of a time-delay differential equation. The models were used to design a feed-forward controller. The ability of the controller to compensate for lift oscillations during pitching was evaluated using Simulink®.