Abstarct: In conventional power systems, power is often generated by high-inertial synchronous generators. This high inertia can prevent sudden and abrupt changes in frequency during network disruptions and maintain network stability. Nowadays, with the increase of the influence of renewable energy sources in the network that do not have inertia, the inertia of the network decreases and the sensitivity of the network to disturbances increases. Recently, virtual synchronous generator technology has been proposed that can provide virtual inertia for such sources, thus increasing network inertia. In this dissertation, first the dynamic stability analysis of a virtual synchronous generator system is performed and then a control design is introduced baxsed on the analyzes is performed for the realization and effectiveness of the control design، The virtual synchronous generator in the Matlab / Simulixnk environment is simulated. It is then tested under two scenarios of reference power change and load change. Also, control design is implemented for various types of virtual synchronous generator systems, namely: single-phase, three-phase and parallel. The simulation results indicate that the control design has been successful in improving the dynamic stability and its compatibility with various types of single-phase, three-phase and parallel virtual synchronous generator systems. Also, the performance of the virtual synchronous generator is examined in spite of the DC offset component in the system and a solution is provided to eliminate this component.