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.

首次基于可控性过渡对工作在连续导通模式下的DC-DC反激式转换器的开关线性系统模型进行了可控性分析。根据负载电阻和输入电压的变化评估可控性转换。对于不同的电路参数（输入电压、电感器、电容器和寄生参数），观察到反激式转换器在更高的负载电阻下变得无法控制。对于不同的负载电阻和输入电压，计算了开关可控性格拉姆的倒数条件数。控制轨迹从初始状态到最终状态的长度随着倒数条件数的减少而增加。随着阻力的增加，倒数条件数变得小于可控性转变，因此，即使通过线性子空间方法证明系统是可控的，病态切换可控性格拉姆也会导致不可控性。因此，证明可控性过渡方法对于DC-DC转换器的可控性分析更准确。