Surge is a type of instability, that dramatically affects the operation and life of the turbocharger. There were analyzed the options for the control of surge of which were control designed for surge avoidance (method of minimizing the flow through the control valve). This algorithm is based on the logic of closure control valve at a constant speed regardless of the error. Besides of control were designed surge and control curves. To verify the solution was modeled and implemented nonlinear parametric model with downstream with control valve (Fink model) in Matlab. The simulation models are needed for physical systems, and develop good management strategy. Derivation of the compressor characteristic is presented. Dynamic model also includes two characteristics of valves describing mass flow.