Modeling and nonlinear optimal control of active mass damper with rotating actuator for structural vibration control

Summary An innovative nonlinear optimal control scheme based on θ‐D approximation for structural vibration control with R‐AMD (active mass damper with rotating actuator) is developed in this paper. In the R‐AMD which was proposed in our previous work, rotating actuator rather than linear actuator is used to accelerate and decelerate the inertial mass, thus avoiding stroke‐related problems. The rotational motion of the inertial mass makes R‐AMD a special nonlinear AMD, which raises the level of difficulty in controller designing. Taking the control–structure interaction (CSI) effect into consideration, the modeling of target structure/R‐AMD coupled system is fulfilled using the Lagrange equations. Regarding the nonlinearity in the R‐AMD system, a nonlinear optimal control scheme is designed based on θ‐D approximation, during which the important role of diffeomorphism transformation of coordinates is presented. Experiments are conducted to validate the effectiveness of the proposed control algorithm and the R‐AMD device.