Backstepping global and structural stabilization of direct current/direct current boost converter

This paper deals with the stabilization of direct current/direct current (DC/DC) boost converter and the nonlinear phenomena elimination using a constrained backstepping technique. Based on the converter averaged model, the proposed control approach is designed and the input to state stability concept is used to prove 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 stability regions of the system as functions of the controller and the system parameters. The bifurcation diagrams are used to show the effectiveness of the proposed approach in terms of nonlinear phenomena suppression in wide regions of the system operating domains.