线性周期快速切换系统的平衡截断模型降阶

针对电力电子领域中常见的线性周期快速切换系统,研究了保持系统弱稳定性及平均动态特性的模型降阶问题.针对输入为直流信号的情形,引入周期切换系统的直流平均模型并在此基础上给出了可完全匹配其平均直流响应动态特性的平衡截断算法;针对存在输入交流摄动信号以及切换时间摄动的情形,引入周期切换系统的交流小信号平均模型,并在此基础上给...

Model reduction of linear fast periodically switched systems using balanced truncation

This study examines the model order reduction of linear fast periodically switched systems within the framework of a balanced truncation approach. The direct current (DC) averaged state-space model is introduced to describe the averaged dynamics of the given periodically switched systems in the presence of a DC input signal. In addition, a balanced truncation-based algorithm is developed to generate the desired reduced periodically switched model. A small-signal averaged state-space model is introduced to deal with cases in which the alternating current input signal is included. Similarly, an algorithm to generate the desired reduced model is proposed by exploiting the singular perturbation-type balanced truncation. Finally, numerical and experimental examples are presented to illustrate the effectiveness of the proposed results.