基于模型解耦的Buck变换器滑模控制  

Sliding mode control of Buck converters based on model decomposition

作　　者：王艳敏[1] 张涵清 吴文谊 董志华 WANG Yanmin;ZHANG Hanqing;WU Wenyi;DONG Zhihua(School of Electrical Engineering and Automation,Harbin Institute of Technology,Harbin 150001,China;Institute of Defense Engineering,Academy of Military Science,Beijing 100091,China)

机构地区：[1]哈尔滨工业大学电气工程及自动化学院,黑龙江哈尔滨150001 [2]军事科学院国防工程研究院,北京100091

出　　处：《华中科技大学学报(自然科学版)》2025年第1期42-47,71,共7页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51307035,62073095).

摘　　要：针对Buck变换器多以电压控制型为主、控制性能受制于电路非线性的问题,提出一种基于模型解耦的滑模(sliding mode,SM)控制方法,以提高其输出电能品质.基于基尔霍夫电路定理,建立Buck变换器导通/关断两种情况下的统一数学模型,基于SM等效控制原理,给出传统电压控制器的设计.区别于先模型解耦再设计控制器的常规做法,仍以变换器电压作为控制量,构造二层结构滑模面,可间接将电流纳入SM控制器作用下;之后,基于输出重定义方法,再将系统模型解耦为输入输出子系统和零动态子系统,使得变换器输出电能品质的控制问题转化为输入输出子系统的稳定性控制,并分四种情况推导出控制器参数与系统稳定性的约束关系.仿真结果表明,所提方法可显著提高变换器的响应速度和稳态性能,更具应用价值.For the voltage-controlled Buck converters,its performances are restricted by the circuit nonlinearity.In order to solve the problem,a sliding mode(SM)control approach was proposed based on model decomposition to improve the quality of power output.Based on the Kirchhoff’s circuit theory,a unified mathematic model of buck converters in the both cases of switch on and off was established,following the traditional design of the voltage controller on the basis of the SM equivalent control theory.The voltage variable was chosen to construct a two-layer sliding surface,which differs from the traditional model decomposition.The current is also under the control.Then based on the output redefinition approach,the system was decomposed into an input-output subsystem and a zero dynamic subsystem.Therefore,the quality control of the power output was changed into the stability problem of the input-output subsystem.By combining the four cases,the relationship of the controller parameters and the system stability was deduced.Simulations validate this paper with advantages of fast response,good steady performance and wide application.

关 键 词：滑模控制 直流变换器 二层滑模面 模型解耦 稳态性能 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]