Active vibration control of a rotor-bearing-actuator system using robust eigenvalue placement method

Abstract

In order to improve the vibration responses of rotor system, this paper presents an active vibration control technique for a rotor-bearing-actuator system with the use of robust eigenvalue placement method. By analyzing the characteristics of the piezoelectric stack actuator, bearing and rotor, a rotor-bearing-actuator system is modeled. Based on this dynamical model, a reduced-order technique is used to establish the state equation in the modal space. A robust eigenvalue placement method, which can enhance the robustness of system to model error and uncertain factors by optimizing the close-loop eigenmatrix with a small condition number, is proposed to carry out the active vibration control for system. The good results indicate that the eigenvalue can be placed to precise position, and the displacement responses get effectively suppressed with the proposed method. Meanwhile, the optimized close-loop eigenmatrix can possess a small condition number, which means the system has achieved excellent robustness.

GA tuned LQR controller for active vibration control of a rotor bearing system using piezoelectric actuators

“…In order to reduce vibrations in rotating machines, some authors chose to use piezoelectric patches on the fixed components of the rotor. Lai and Liu [3] introduce an active vibration control method for a rotor-bearingactuator system using a robust eigenvalue placement technique. To enhance the accuracy of the system's dynamic model, the outer ring of the bearing and the piezoelectric stack actuator are incorporated into the model.…”