Buck变换器混杂动态系统的能控性和能达性

尝试在Buck变换器的能控性和能达性研究中引入混杂动态系统和切换线性系统的概念．首先建立Buck变换器的切换线性系统模型；然后根据该模型的特点，给出系统矩阵定常、输入矩阵切换的切换线性系统的能控性和能达性定义和定理，并严格证明了Buck变换器的能控性和能达性；最后讨论了能控性和能达性与输出能控性的关系，指出能控性、能达性和输出能控性是一致的，同时对Buck变换器的能控性进行实验验证，结果表明，在负载阶跃变化的情况下，变换器的输出完全可以控制并且稳定在设计值，这和Buck变换器作为切换线性系统模型的能控性分析结果是一致的．本文的研究方法也可用于其他功率变换器的能控性和能达性的研究．

Controllability and Reachability of the Hybrid Dynamic System in Buck Converter

The concepts of hybrid dynamic system (HDS) and sw itched linear system (SLS) were introduced into studying the controllability and reachability of Buck converter.In this paper,the switched linear system model of Buck converter was first built,and then the controllability and reachability definitions and theorems of the switched linear system with the same systematic matrix and different input matrices were presented according to the characteristics of the switched linear system model for Buck converters.Afterwards,the controllability and reachability of Buck converter was strictly proved based on the switched linear system model.Finally, the relationship among the controllability,reachability and output controllability was discussed and it is pointed out that the three items are in good concordance.Moreover,the controllability of Buck converter was verified by experiments,there by concluding that,with load current step,the output of Buck converter is completely controllable and is kept stable in the designed reference.This is in concordance with the controllability analysis result of Buck converter as a switched linear system model.The proposed method is also adaptable to the investigation of the controllability and reachability of other power converters.