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基于LMI的输出反馈μ控制器求解

李喆 高元楼 李佩林

李喆, 高元楼, 李佩林等 . 基于LMI的输出反馈μ控制器求解[J]. 北京航空航天大学学报, 2016, 42(10): 2231-2237. doi: 10.13700/j.bh.1001-5965.2015.0556
引用本文: 李喆, 高元楼, 李佩林等 . 基于LMI的输出反馈μ控制器求解[J]. 北京航空航天大学学报, 2016, 42(10): 2231-2237. doi: 10.13700/j.bh.1001-5965.2015.0556
LI Zhe, GAO Yuanlou, LI Peilinet al. Solution of output feedback μ controller based on LMI[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2231-2237. doi: 10.13700/j.bh.1001-5965.2015.0556(in Chinese)
Citation: LI Zhe, GAO Yuanlou, LI Peilinet al. Solution of output feedback μ controller based on LMI[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2231-2237. doi: 10.13700/j.bh.1001-5965.2015.0556(in Chinese)

基于LMI的输出反馈μ控制器求解

doi: 10.13700/j.bh.1001-5965.2015.0556
详细信息
    作者简介:

    李喆,男,硕士研究生。主要研究方向:控制工程。Tel.:010-82339513,E-mail:dzztlz@163.com;高元楼,男,博士,副教授,硕士生导师。主要研究方向:机电控制。Tel.:010-82339757,E-mail:gaoyuanlou@263.net

    通讯作者:

    高元楼,Tel.:010-82339757,E-mail:gaoyuanlou@263.net

  • 中图分类号: TP131

Solution of output feedback μ controller based on LMI

  • 摘要: D-K算法是结构奇异值(μ)方法的主要实现方式,存在着求解条件较苛刻、系统适用性差的问题,针对D-K算法应用的局限性,提出将线性矩阵不等式(LMI)用于D-K算法的改进,即通过Schur引理与有界实引理得到了结构奇异值上界的LMI判据,利用消元法得到了输出反馈的H控制器,在此基础上通过D-K迭代解出输出反馈μ控制器,避免了因求解Riccati方程受到求解条件的限制以及待定参数选择好坏的影响,增强了D-K算法对一般系统的适用性并提高了求解效率。数值结果表明,该方法得到的输出反馈系统的鲁棒稳定性及鲁棒性能均优于传统D-K算法。

     

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出版历程
  • 收稿日期:  2015-08-31
  • 网络出版日期:  2016-10-20

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