Use of a low order dynamical system to control the flow between two counter-rotating disks

This paper presents the control of a turbulent flow between two counter-rotating disks. A low-order dynamical model is obtained by the use of a Proper Orthogonal Decomposition technique. The POD is performed for a nominal value of the Reynolds number. Control input is the disk rotation speed and modifies the Reynolds number. Hence, the dynamical model becomes uncertain but the extent of imprecisions are upper bounded. A sliding control methodology is considered to control the system on a limit cycle.