Rotor-blade vibration control using a periodic LQR controller

Abstract

This paper presents an active control strategy based on the periodic time varying linear quadratic regulator problem to attenuate the vibration of a coupled rotor-blade system via shaft actuation. For this system, a periodic modal decomposition method is applied to decouple part of the system dynamics, which ultimately provides a reduced order model. Then, a periodic LQR controller obtained as the solution of a periodic Riccati differential equation is designed. For comparison purpose, three others controllers are also designed. A proportional derivative controller, an LQR controller based on a single LTI model, and an LQR controller based on multiple LTI models. Numerical simulations show the superior performance of the proposed technique.