Backstepping Global and Structural Stabilization of DC/DC Boost Converter

Abstract This paper deals with the stabilization of DC/DC boost converter and the nonlinear phenomena elimination using a constrained Backstepping technique. Based on the converter averaged model, the pro- posed control approach is designed and the input to state stability concept is used to proof the system global stability. Furthermore, the structural stability is proven to show the efficiency of the proposed approach to suppress the nonlinear phenomena exhibited by the converter. The simulation results illustrate the different regions of stability of the system and the bifurcation diagrams are given to show the effectiveness of the proposed approach in terms of nonlinear phenomena suppression.