基于容许边界依赖ADT方法的DC/DC变换器控制  

Control on DC/DC Converter Based on Admissible Edge-dependent Average Dwell Time Method

作　　者：黄孝发 王武[1,2] 谢宇航 苏先进 HUANG Xiao-fa;WANG Wu;XIE Yu-hang;SU Xian-jin(School of Eletrical Engineering and Automation,Fuzhou University,Fuzhou 350116,China;Kehua Hengsheng Power Electronic Technology Research Center,Fuzhou University,Fuzhou 350116,China)

机构地区：[1]福州大学电气工程与自动化学院,福建福州350116 [2]福州大学科华恒盛电力电子技术研究中心,福建福州350116

出　　处：《控制工程》2022年第9期1580-1586,共7页Control Engineering of China

基　　金：福建省自然科学基金资助项目(2021J01637)。

摘　　要：电力电子电路具有连续时间变量与离散事件互相混杂、互相作用的特点,是一类典型的混杂系统。基于混杂系统理论,利用多李雅普诺夫函数稳定性方法结合容许边界依赖平均驻留时间约束条件,设计了一种可使DC/DC变换器达到期望输出的切换规则,其稳定性控制条件通过解线性矩阵不等式(LMI)得到。在此基础上,加入了比例积分控制器保证DC/DC变换器在负载扰动下的稳定性。此控制方法能保证系统稳定,同时可有效抑制系统的抖振并降低开关频率。最后,通过仿真得出了Buck、Boost、Buck/Boost电路的仿真曲线,并搭建Buck电路实验样机进行了验证,结果证明了所提方法的有效性。Power electronic circuits are typical hybrid systems which are characterized by the intermingling and interaction of continuous time variables and discrete events. Based on the theory of hybrid systems, the multi-Lyapunov function stability method combined with the admissible edge-dependent average dwell time constraint is used in this paper to design a switching rule that allows the DC/DC converter to achieve the desired output. The stability control conditions are obtained by solving the linear matrix inequality(LMI). On this basis, a proportional integral controller is added to ensure the stability of the DC/DC converter under load disturbance. This control method can ensure the stable output of the system, and effectively suppress the chattering and reduce the switching frequency of the switching device. Finally, the simulation curves of Buck,Boost and Buck/Boost circuits are obtained by the simulation, and the experimental prototype of Buck circuit is built to verify the effectiveness of the proposed method.

关 键 词：混杂系统 容许边界依赖平均驻留时间 线性矩阵不等式 DC/DC变换器 

分 类 号：TM46[电气工程—电器]