The most important property of a base-isolation system is to make the base more flexible than the elements of the superstructure, but it must still be stiff enough to resist typical pounding forces, wind loadings, and similar low-amplitude horizontal forces. However, the potential consequences of earthquake-induced poundings on seismically isolated buildings can be much more substantial, and, thus, should be assessed. This paper investigates, through numerical simulations, the effects of potential pounding incidences on the seismic response of a typical seismically isolated building and to make the control system with hydraulic viscous damper to reduce the transmitted energy. A specialized software application has been developed in order to efficiently perform numerical simulations and parametric studies on the control system. The effects of certain parameters, such as the post-pre stiffness ratio, plastic shear capacity of the viscous and damper the characteristics of the adjacent structures have been investigated using the developed software. The simulations have revealed that the viscous damper decreases the total displacement and the total transmitted energy. Also the best case of the hydraulic dampers when the elasto-plastic with zero plastic stiffness.