Displacement Feedback Control of Proof-Mass Actuators for Vibration Suppression.

Abstract

The use of direct displacement feedback control for vibration suppression of flexible structures by multiple proof-mass actuators is investigated. Closed-loop eigenvalue analysis is carried out considering the influence of actuator dynamics, and closed-loop stability is proved which indicates the stability robustness of the control algorithm. Regarding the performance of the control system, parameters of the actuator are optimized analytically using an eigenvalue criterion for one-degree-of-freedom structure and the optimum parameters are expressed in closed form as a function of feedback gain. In addition, the results of optimum parameters are generalized to adapt to control of multiple-degree-of-freedom structure. A control example of a plane frame structure is given with the actuators used either passively or actively. Simulation results demonstrated the effectiveness of the proposed control procedures.