In this paper, a reduced-order model (ROM) of the flow-induced vibrations of a flexible cantilevered hydrofoil is developed and used to design an active feedback controller. The ROM is developed using data from high-fidelity viscous fluid-structure interaction (FSI) simulations and includes nonlinear terms to accurately capture the effect of lock-in. An active linear quadratic Gaussian (LQG) controller is designed based on a linearization of the ROM and is implemented in simulation with the ROM and the high-fidelity viscous FSI model. A controller saturation method is also presented that ensures that the control force applied to the system remains within a prescribed range. Simulation results demonstrate that the LQG controller successfully suppresses vibrations in both the ROM and viscous FSI simulations using a reasonable amount of control force.
Bibliographical noteFunding Information:
The authors are grateful for the funding provided by the Office of Naval Research (ONR) grant no. N00014-13-0383, managed by Dr Ki-Han Kim.
© 2016 IOP Publishing Ltd.
- active control
- flow-induced vibrations
- fluid-structure interaction
- linear quadratic Gaussian control
- reduced-order model
- vibration supression
- viscous flow