华南理工大学学报(自然科学版) ›› 2009, Vol. 37 ›› Issue (2): 134-139.

• 动力与电气工程 • 上一篇    下一篇

Boost变换器状态反馈的精确线性化控制

帅定新 谢运祥 王晓刚   

  1. 华南理工大学 电力学院, 广东 广州 510640
  • 收稿日期:2008-01-16 修回日期:2008-04-07 出版日期:2009-02-25 发布日期:2009-02-25
  • 通信作者: 帅定新(1979-),男,博士生,主要从事非线性控制、电能质量改善研究. E-mail:shuai.dingxin@mail.scut.edu.cn
  • 作者简介:帅定新(1979-),男,博士生,主要从事非线性控制、电能质量改善研究.
  • 基金资助:

    国家自然科学基金资助项目(60534040)

Exact Linearization Control of State Feedback for Boost Converter

Shuai Ding-xin  Xie Yun-xiang  Wang Xiao-gang   

  1. School of Electric Power, South China University of Technology, Guangzhou 510640, Guangdong, China
  • Received:2008-01-16 Revised:2008-04-07 Online:2009-02-25 Published:2009-02-25
  • Contact: 帅定新(1979-),男,博士生,主要从事非线性控制、电能质量改善研究. E-mail:shuai.dingxin@mail.scut.edu.cn
  • About author:帅定新(1979-),男,博士生,主要从事非线性控制、电能质量改善研究.
  • Supported by:

    国家自然科学基金资助项目(60534040)

摘要: 将控制目标引入系统状态方程,建立了CCM(电流连续型)Boost变换器的非线性仿射模型.从理论上证明了所建立的系统模型满足状态反馈精确线性化的能控性条件和对合条件,构造了相应的非线性输出函数,得到非线性状态反馈控制律,实现了原系统的状态反馈精确线性化,并详细分析了反馈系数的选取.所提控制方案不需要附加电压比例积分(PI)环节,控制简单,对输入电压、负载和系统元件参数扰动均具有较强的鲁棒性.仿真结果表明,基于文中所提控制方法的系统性能优越,各项指标均优于无源性控制方案.

关键词: 电力电子, Boost变换器, 状态反馈, 状态空间平均建模, 非线性, 精确线性化

Abstract:

By introducing the control aim into the system state equations, a nonlinear affine model of Boost converter working in current conduction mode (CCM) is set up, which is theoretically proved to satisfy the controllability condition and the involution condition for the exact linearization control of state feedback. Then, a nonlinear output function and the corresponding nonlinear state feedback control law are derived and used to implement the exact linea- rization control of state feedback of the original system. Moreover, the selection of the feedback coefficient is ana- lyzed in detail. The proposed control method dispenses with any additive voltage PI controller. Thus, it is easy to implement and is more robust to the input voltage, the load and the component parameters. Simulated results indi- cate that the proposed method is of high performance and is superior to the passivity-based control methods.

Key words: power electronics, Boost converter, state feedback, state-space average modelling, nonlinearity, exact linearization