华南理工大学学报(自然科学版) ›› 2011, Vol. 39 ›› Issue (2): 12-19.doi: 10.3969/j.issn.1000-565X.2011.02.003

• 电子、通信与自动控制 • 上一篇    下一篇

π型谐振IPT系统的混合灵敏度H∞鲁棒控制

李砚玲 孙跃 戴欣 余奎   

  1. 重庆大学自动化学院,重庆40003
  • 收稿日期:2010-05-17 修回日期:2010-06-28 出版日期:2011-02-25 发布日期:2011-01-02
  • 通信作者: 李砚玲(1984-)女,博士生,主要从事非接触电能传输系统与自动控制研究 E-mail:sinuokeai@126.com
  • 作者简介:李砚玲(1984-),女,博士生,主要从事非接触电能传输系统与自动控制研究
  • 基金资助:

    国家自然科学基金资助项目(50807057);教育部高等学校博士学科点专项科研基金资助项目(20090191110021);重庆大学中央高校基本科研业务费专项基金资助项目(CDJXS11172238);重庆大学“211工程”三期建设项目(S-09108)

Mixed-sensitivity H∞ robust control for π–type resonant IPT system

Li Yan-ling Sun Yue Dai Xin Yu Kui   

  1. Chongqing university institute of automation, chongqing 40003
  • Received:2010-05-17 Revised:2010-06-28 Online:2011-02-25 Published:2011-01-02
  • Contact: 李砚玲(1984-),女,博士生,主要从事非接触电能传输系统与自动控制研究 E-mail:sinuokeai@126.com
  • About author:李砚玲(1984-),女,博士生,主要从事非接触电能传输系统与自动控制研究
  • Supported by:

    国家自然科学基金资助项目(50807057);教育部高等学校博士学科点专项科研基金资助项目(20090191110021);重庆大学中央高校基本科研业务费专项基金资助项目(CDJXS11172238);重庆大学“211工程”三期建设项目(S-09108)

摘要: 针对一种π型谐振网络的非线性感应电能传输系统(IPT),应用广义状态空间平均(GSSA)法对时域状态变量进行频域分解,并用低阶傅里叶系数的实部和虚部作为新变量将其近似成一个线性时不变系统.为对负载输出电压进行无静差跟踪控制及鲁棒性能分析,综合考虑系统的中低频参数摄动及高频未建模部分的不确定性,通过在频域上调整选择多目标优化的加权函数,设计出基于混合灵敏度的H∞输出反馈鲁棒控制器.仿真结果表明,在鲁棒控制作用下,闭环系统传递函数的H∞范数达到了小于1的性能指标,当发生负载参数摄动及输入电压干扰时,实现了对负载输出电压的无静差鲁棒跟踪.实验结果亦证明,该方案是可行的.

关键词: 感应电能传输, 广义状态空间平均法, 混合灵敏度, 输出反馈, 鲁棒控制

Abstract:

Based on a non-linear inductive power transfer (IPT) system with π–type resonant network, we applied generalized state space averaging (GSSA) method to achieve frequency domain resolving of time-domain state variables, then real and imaginary parts of the low order fourier coefficients as new variables, approximately, built-up a linear time-invariant system. Comprehensive consideration of parameter perturbation in medium and low frequency as well as uncertainty of un-modeling part in high frequency, an output feedback H∞ robust controller with mixed sensitivity was designed. The weighted functions for multi-objective optimization were adjusted to obtain tracking control without steady-state error and robustness analysis of the load output voltage. The simulation results show that using robust controller, H∞ norm for the closed-loop system’s transfer function reaches to the performance index which is less than 1. In the cases of load parameter perturbation and input voltage disturbance, the system realizes the tracking robust control without steady-state error for the load output voltage, and simulation results verify the feasibility of the proposal.

Key words: IPT, GSSA, mixed sensitivity, output feedback, robust control