Investigation the effect of Different Types of Fuzzy Controllers in Relieving the Sensitivity to Seismic Excitation of an 11-Story Structure with an Active Mass Damper

The application of active tuned mass damper (ATMD) has been considered to control the seismic responses of the building in recent years. LQR and PID are two common methods in classical structural control. Both methods are sensitive to the input signal (seismic excitation). Therefore, in this study, the efficiency and effectiveness of three approaches are investigated to estimate the control force of ATMD; (1) fuzzy-LQR, (2) fuzzy-PID, and (3) fuzzy logic controller. The first and second one are the combination of linear quadratic regulator (LQR), and proportional–integral–derivative (PID) with fuzzy logic controller (FLC). The Observer-Teacher-Learner-Based Optimization algorithm (OTBLO) is utilized to enhance the performance of FLC. The fuzzy membership functions for inputs are tuned and fuzzy rules are extracted to find out proper control force to reduce the peak seismic response of a structure. In this study, five control criteria including maximum displacement, maximum acceleration, maximum Inter story drift, base shear force and base moment for the performance of each control system are evaluated. The results show that, although three optimized controllers can effectively reduce the peak seismic response of the building, the performance of fuzzy logic controller is slightly better than two other hybrid controllers to reduce seismic responses.