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基于高阶奇异值分解的LPV鲁棒控制器设计

孙斌 杨凌宇 张晶

孙斌, 杨凌宇, 张晶等 . 基于高阶奇异值分解的LPV鲁棒控制器设计[J]. 北京航空航天大学学报, 2016, 42(7): 1536-1542. doi: 10.13700/j.bh.1001-5965.2015.0486
引用本文: 孙斌, 杨凌宇, 张晶等 . 基于高阶奇异值分解的LPV鲁棒控制器设计[J]. 北京航空航天大学学报, 2016, 42(7): 1536-1542. doi: 10.13700/j.bh.1001-5965.2015.0486
SUN Bin, YANG Lingyu, ZHANG Jinget al. Robust LPV control design based on HOSVD[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(7): 1536-1542. doi: 10.13700/j.bh.1001-5965.2015.0486(in Chinese)
Citation: SUN Bin, YANG Lingyu, ZHANG Jinget al. Robust LPV control design based on HOSVD[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(7): 1536-1542. doi: 10.13700/j.bh.1001-5965.2015.0486(in Chinese)

基于高阶奇异值分解的LPV鲁棒控制器设计

doi: 10.13700/j.bh.1001-5965.2015.0486
基金项目: 国家自然科学基金(61273099);航空科学基金(20135851041)
详细信息
    作者简介:

    孙斌 男,硕士研究生。主要研究方向:先进飞行器控制。E-mail: sun1990bin@qq.com Tel.: 010-82316873;杨凌宇 男,博士,副教授,硕士生导师。主要研究方向:先进飞行器控制,容错控制,先进布局飞机多操纵控制方法。E-mail: yanglingyu@buaa.edu.cn Tel.: 010-82316873

    通讯作者:

    杨凌宇,Tel.: 010-82316873 E-mail: yanglingyu@buaa.edu.cn

  • 中图分类号: V249.12

Robust LPV control design based on HOSVD

  • 摘要: 针对高超声速飞行器线性变参数(LPV)模型建模中准确度与复杂度之间的矛盾性,提出了一种基于网格化张量及高阶奇异值分解(HOSVD)的凸多胞LPV模型建模及控制方法。首先基于雅可比线性化给出了大包线网格化模型的张量描述形式,然后提出了一种基于HOSVD的多胞LPV模型生成算法,将网格化模型表述为有限个线性时不变(LTI)顶点及权重函数的组合,并基于舍弃的奇异值给出了建模误差的指标,最后结合某航天飞机再入段六自由度非线性模型进行了大包线鲁棒LPV控制器设计与仿真验证,结果表明该方法可获得计算复杂度低且保证建模精度的LPV模型,设计的鲁棒变增益控制器能够使系统快速跟踪姿态角指令信号,并能够保证系统的稳定性和鲁棒性。

     

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出版历程
  • 收稿日期:  2015-07-20
  • 网络出版日期:  2016-07-20

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