Abstarct: With diminishing resources and increasing fuel internal combustion engines, especially diesel engine in the world, control and improvement of the diesel engine has become vital. There have been many efforts to improve the performance of diesel engines, including the measures that can be added to the system, EGR and VGT system's. The main objective of upgrading and precise control to reduce diesel engine emissions, reduced fuel consumption and engine efficiency is increased. EGR system to reduce emissions and increase engine efficiency is VGT system. Add the engine system to improve the performance of engine, but the engine control parameters and performance is much more complex. Because the engine is a multi-Input Multi-Output (MIMO) has been coupled equations in time. This leads to more complex control system. In the past, several methods have been used to control the system. Among these methods are the method of linearization point, the adaptive control method, system identification methods, H and ... named. In this thesis we use the backstepping method.