Today, due to the advancement of science and technology in the construction industry, the control of structural vibrations is recognized as a new approach to deal with lateral loads, especially earthquakes. In the field of structural control engineering, damping can be considered as a distinct feature of materials that tend to resist movement. The higher the damping rate of a system, the shorter the return to standstill. The use of dampers can reduce the range of vibrations of the systems. Adjustable Particle Mass Damper (PTMD) is a creative combination of an adjustable mass damper and a particle damper. In this dissertation, the time history of tall steel buildings equipped with active particle mass dampers (APTMD) is analyzed by state space method and fuzzy control. Impact dampers and adjustable mass dampers are part of the passive controllers. In this research, first, the design of the particle mass regulator in the MATLAB program is designed, then, for validation, it is compared with the 5-story structure of Zheng Lu's article. Then three tall structures of 20, 25 and 30 floors are modeled in SAP200 software and its mass, hardness and damping are obtained. The purpose of this study is to reduce the displacement and acceleration of the mentioned structures against the earthquake force. For this purpose, five accelerometers of Al-Centro, Chi Chi, Taiwan, Kobe, Lomaprita and Tabas have been used. The acceleration and displacement of the structure have been studied in detail in both passive dampers and active dampers. The results of the particle mass attenuator in the inactive damped state showed the highest reduction in displacement in a 30-storey building due to the Centro earthquake (52.68%), as well as the lowest reduction in displacement due to the Lumaprita earthquake record in a 20-storey building (11.57%). The highest acceleration decrease in a 20-storey building due to Kobe earthquake (26.18%) is also the lowest acceleration decrease under a centrifugal earthquake (0.29%) in a 20-storey building. In the damping state, the mass of the inactivated tunable particles of the earthquake input as well as the height of the structure are very important. However, in the case of active particle mass dampers, which is implemented in Simulink MATLAB using the state space method and fuzzy logic control with FLC5 algorithm. The percentage of reduction in displacement and acceleration under the effect of all earthquake records and all three steel structures mentioned are close to each other. For example, in a 30-story structure, the highest reduction in displacement due to Tabas earthquake is (85.63%) and the lowest reduction in displacement due to Lomaprita earthquake (77.76%). Similarly, in the part of reducing the acceleration of a 30-story structure in the inactive state of the damper, the percentage of decreasing the acceleration of the structure in each earthquake is very different from another earthquake and its maximum reduction in a 30-story structure (22.57%) is due to Kobe earthquake; This is changed in the active state and for almost all earthquake records the acceleration decreases between (61% to 69.03%).
