Controllability analysis of switched linear system model of DC–DC flyback converter using controllability transition approach

Abstract

Controllability analysis of switched linear system model of DC–DC flyback converter working in the continuous conduction mode, based on controllability transition, has been performed for the first time. Controllability transition is evaluated subject to the change in load resistance and input voltage. Flyback converter is observed to become uncontrollable at higher load resistances for the different circuit parameters (input voltage, inductor, capacitor, and parasitics). Reciprocal condition number of switching controllability gramian is computed for different load resistance and input voltage. The length of control trajectory from initial to final state increases with decrease in reciprocal condition number. Reciprocal condition number becomes less than controllability transition with increase in resistances, hence ill-conditioned switching controllability gramian ensues uncontrollability even though the system is proved to be controllable by linear subspaces method. Thus, the controllability transition method is proved to be more accurate for controllability analysis of DC–DC converter.