Hybrid feedback for multicellular converter based on the quadratic stabilization theory

This paper deals with the analysis and control of multicellular converter from the point view of hybrid theory. Therefore, a hybrid model, called hybrid automaton, should be established. The hybrid automaton for the multicellular converter is derived based on some properties obtained by the analysis of the open loop trajectories. Based on the obtained hybrid automaton, we derive a switching control law that guaranties the quadratic stability of the switched equilibrium. The continuous Lyapunov function used for the quadratic stabilization is the stored energy in the inductor and the capacitor. The switching surfaces are defined based on the highest rate of decrease of the continuous Lyapunov function. Simulation results bring out the advantages and the effectiveness of the proposed control scheme under fast variations of the input voltage and load resistance.