Abstract
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.
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