Abstarct: Modeling and control of power electronic converters due to their nonlinear nature, is an important subject of research in power electronics. Since dynamic power electronics systems of the two continuous time (the time between switching) and discrete-time input (switching) is formed, Including hybrid systems are considered. Switched circuits boost inverter DC-AC by their nature present hybrid behavior. Hybrid Modeling for electric circuit of the converter can be described with a set of discrete modes with associated continuous dynamics. In general, hybrid systems switch between different working modes, which each state has its own dynamic rules. Many controllers are designed in this area. That they are working on converting the linear switched to a non-hybrid system using theory is averaged. In conditions of the dynamics of this fast system is neglected and as a result of careful analysis of stability is reduced.Control approach in the thesis baxsed on direct use of the theory is switched and hybrid systems. The model is obtained from this method, Also considers dynamic fast And stability analysis baxsed on its large signal and accurate. In this thesis by using the method hybrid automato model a boost converter DC-AC is obtained And using Strategies to minimize projection The controller is suitable to apply it. The purpose of control, producing an alternating voltage level higher than the direct voltage source input. The simulation results indicate that the boost inverter can have a good efficiency using this method.