Performance Assessment of an Active Tuned Inerter Damper (ATID) System on SDOF Structures using PID Control

Active Tuned Mass Damper (ATMD) have been frequently studied as an effective approach for vibration mitigation, particularly for building seismic applications. Their performance, however, is often limited by the practically achievable mass ratio. This study introduces, for the first time, an Active Tuned Inerter Damper (ATID) system that incorporates an inerter with active control. By generating a large apparent mass relative to its small physical size, the inerter enables enhanced dynamic performance without increasing the physical mass. The ATID consists of a Tuned Inerter Damper (TID), composed of an inerter, spring, and damper, combined with an actuator to provide active control action. The proposed concept is investigated through numerical analysis on a single-degree-of-freedom (SDOF) system. The passive parameters of the TID are optimally tuned using closed-form relations equivalent to Den Hartog’s fixed-point approach, and a proportional–integral–derivative (PID) controller is designed to minimize the structural displacement response under external excitation. The results show that the ATID provides superior vibration suppression compared with ATMD systems.