In recent decades , the vibration Control of the structures subject to some loads , such as winds and earthquakes , etc . , has been widely expressed. Vibration Control, which intends to keep the behavior of a structure within a permissible limit , is utilized in several structures , like bridges , tall buildings , wind turbines , foundations with additional vibrations in industry , and even ordinary structures. In this paper , some of the recent studies on optimal Control of the structures are reviewed. In other words , a comprehensive review of articles on the optimal design of different known Control systems of each category i.e. , Tuned Mass Dampers (Active , Passive , and Semi - active) , Viscoelastic Dampers and Base Isolation (Passive and Semi - active) , Fluid Viscous Dampers (Passive and Semi - active) and the active Tendons , with special attention to studies performed in the past decades, are presented. Also , due to simplicity , reliability , and maximum energy dissipation of the friction dampers as an energy dissipation device , especially for seismic amplification of the engineering structures , a brief overview of the optimization of the friction dampers is discussed.