用H∞控制器抑制Buck变换器中的参数扰动

山东大学学报(工学版) ›› 2010, Vol. 40 ›› Issue (4): 57-61.

用H_∞控制器抑制Buck变换器中的参数扰动

贤燕华1,2,冯久超1*

1. 华南理工大学电子与信息学院, 广东广州 510641; 2. 广西师范大学电子工程学院, 广西桂林 541004

收稿日期:2009-09-05 出版日期:2010-08-16 发布日期:2009-09-05
通讯作者: 冯久超(1964-),男,四川南充人,教授，博士生导师，博士,主要研究方向为数字信号处理、数字通信、非线性动力学及混沌理论与应用. E-mail:E-mail: fengjc@scut.edu.cn
作者简介:贤燕华(1978-),女,广西柳州人,讲师,博士研究生,主要研究方向为非线性电路和开关电源.E-mail: xianyanhua241@163.com
基金资助:
国家自然科学基金资助项目(60872123);国家和广东省自然科学基金联合基金资助项目(U0835001)

Reducing parametric perturbations in a Buck converter by an H_∞controller

XIAN Yan-hua1,2, FENG Jiu-chao1*

1. School of Electronic and Information Engineering, South China University of Technology, Guangdong 510641, China;
2. College of Electronic Engineering, Guangxi Normal University, Guangxi 541004, China

Received:2009-09-05 Online:2010-08-16 Published:2009-09-05

摘要/Abstract

摘要：

以Buck直流变换器为研究对象,设计了非线性鲁棒控制器以达到减小干扰影响的目的。首先在Buck变换器非线性模型的基础上,建立具有扰动的系统误差模型。然后根据无源性控制理论,得到H∞控制器及其参数约束条件,并理论分析了闭环控制系统的稳定性。最后对Buck变换器元件参数扰动的情况进行了数值模拟和电路仿真,仿真结果验证了该控制方法的正确性和有效性。

关键词: H_&infin, 控制, Buck变换器, 无源系统, 参数扰动

Abstract:

To reduce the effect of disturbances, a nonlinear controller was designed for a DC／DC Buck converter. First, an error model with disturbances was built based on the nonlinear model of a Buck converter. Then an H∞controller and its parameters were deduced based on the passive theory. A theoretical analysis was given to prove the stability of a closedloop control system. Finally, a numerical simulation and circuit simulation were performed for the case of parametric perturbations of a Buck converter. The simulation results demonstrated the validity and effectiveness of the proposed control strategy.

Key words: H_∞ control, Buck converter, passive system, parametric perturbation

贤燕华1,2,冯久超1*. 用H_∞控制器抑制Buck变换器中的参数扰动[J]. 山东大学学报(工学版), 2010, 40(4): 57-61.

XIAN Yan-hua1,2, FENG Jiu-chao1*. Reducing parametric perturbations in a Buck converter by an H_∞controller[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(4): 57-61.

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