Feedback Control and Optimization for Rotating Disk Flutter Suppression with Actuator Patches

An analytical study is presented on feedback control of rotating disk flutter by using piezoelectric patches as actuators. In this study, a thin disk is rotated in an enclosure, which is equipped with a feedback control loop consisting of a sensor, a signal processor, and several piezoelectric actuator patches. The actuator patches, are mounted on the inner surface of the enclosure and produce necessary control force through the airflow around the disk. The dynamic stability of the disk-enclosure system, together with the feedback control loop, is analyzed as a complex eigenvalue problem, which is solved by the Galerkin's discretization procedure. The control performance, in terms of the control gain, the phase shift, and especially the configuration of the actuator patches, are evaluated by calculating the complex eigenvalues. The result shows that the disk flutter can be reduced effectively with proper combinations of the control gain and the phase shift with using one actuator patch or two/three patches. To achieve a high control performance, the suitable sizes and arrangements for several actuator patches distributed are optimized numerically.