Output controllability of Buck Converter in DCM as periodically switched linear systems

Output Controllability is an important feature for control systems. In this paper, the model of Buck Converter in DCM is built based on the theories of hybrid systems (HS) and periodically switched linear systems (PSLS) primarily. Then the output controllability (OC) concept and its sufficient and necessary criterions in 1-period and m-period of periodically switched linear systems are introduced. 1-period OC and m-period OC of Buck Converter are researched afterwards. In the end, the simulation analysis and verification are provided. Both experimental verification and theoretical analysis results indicate that the output of Buck Converter in DCM can be stabilized at the setting value in 1-period as same as m-period. This analysis method can be also used directly to study the output controllability of other switched converters in CCM or DCM.