DC-DC变换器双线性系统建模及基于李亚普诺夫直接法的控制方法  

Bilinear System Model and Lyapunov-Based Control Method for DC-DC Converters

作　　者：张涌萍[1] 张波[1] 丘东元[1] 

机构地区：[1]华南理工大学电力学院,广东省广州市510640

出　　处：《中国电机工程学报》2008年第9期7-11,共5页Proceedings of the CSEE

基　　金：国家自然科学基金项目(60474066);广东省自然科学基金项目(05103540)~~

摘　　要：首先建立了DC-DC变换器双线性系统数学模型,结合控制目的进行适当变形,得到DC-DC变换器的闭环非线性控制系统模型。基于Lyapunov直接法,总结出构造Lyapunov函数和求取控制律的一般步骤,适用于所有数学模型可以表示成双线性系统的DC-DC变换器。以Sepic变换器为例,成功构造出Lyapunov函数,并且推导得到一种使Sepic变换器控制系统渐近稳定的控制律,仿真结果证实了该文提出的新型控制律的有效性。Bilinear system model of DC-DC converters is built, combined with the control objective and extending the system, closed-loop nonlinear control system model of DC-DC converters is found. Based on Lyapunov＇s direct method, a universal step to construct Lyapunov＇s function and get the control law is proposed. The universal step is applicable to all of DC-DC converters whose mathematical model can be represented by bilinear systems. The proposed method is applied to Sepic converter, Lyapunov＇s function is constructed successfully and an asymptotic stable control law is obtained, simulation results confirm the effectiveness of the proposed control law.

关 键 词：DC-DC变换器 李亚普诺夫直接法 稳定性 控制律设计 

分 类 号：TM461[电气工程—电器]