Simultaneous robust optimization of tuned mass damper and active control system

This paper presents a new design method for an active tuned-mass-damper (AMD) system. A tuned-mass-damper (TMD) is one of the common passive-control methods. A TMD reduces a response for resonance frequency. Recently, an AMD, which applies a control engineering for a TMD, is used to increase control performance. Usually, the TMD and the control system of an AMD are designed separately and some nonstructural member or nonlinear characteristics are ignored. This paper presents a simple method that designs both the TMD and the control system of the AMD simultaneously and considers the uncertainties of a structure. The numerical example uses a single-degree-of-freedom model with an AMD and several earthquake waves. The numerical example demonstrates that the presented method suppresses the displacement without increasing absolute acceleration.