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基于快速自适应超螺旋算法的制导律

刘畅 杨锁昌 汪连栋 张宽桥

刘畅, 杨锁昌, 汪连栋, 等 . 基于快速自适应超螺旋算法的制导律[J]. 北京航空航天大学学报, 2019, 45(7): 1388-1397. doi: 10.13700/j.bh.1001-5965.2018.0654
引用本文: 刘畅, 杨锁昌, 汪连栋, 等 . 基于快速自适应超螺旋算法的制导律[J]. 北京航空航天大学学报, 2019, 45(7): 1388-1397. doi: 10.13700/j.bh.1001-5965.2018.0654
LIU Chang, YANG Suochang, WANG Liandong, et al. Guidance law based on fast adaptive super-twisting algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(7): 1388-1397. doi: 10.13700/j.bh.1001-5965.2018.0654(in Chinese)
Citation: LIU Chang, YANG Suochang, WANG Liandong, et al. Guidance law based on fast adaptive super-twisting algorithm[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(7): 1388-1397. doi: 10.13700/j.bh.1001-5965.2018.0654(in Chinese)

基于快速自适应超螺旋算法的制导律

doi: 10.13700/j.bh.1001-5965.2018.0654
详细信息
    作者简介:

    刘畅   男, 博士研究生。主要研究方向:导弹制导

    杨锁昌   男, 博士, 教授, 博士生导师。主要研究方向:导弹制导

    通讯作者:

    杨锁昌, E-mail: ysuochang@163.com

  • 中图分类号: V488.133

Guidance law based on fast adaptive super-twisting algorithm

More Information
  • 摘要:

    针对地空导弹攻击机动目标的制导律设计问题,提出了一种有限时间稳定的新型二阶滑模制导律。在弹目相对运动模型的基础上,将制导问题转化为一阶系统的控制问题。在超螺旋(ST)算法中引入线性项和一种新的参数自适应律,提出了一种快速自适应超螺旋(FAST)算法,该算法不需要已知系统不确定性的边界且收敛速度较快。利用类二次型Lyapunov函数证明了系统有限时间稳定性,给出了收敛时间估计公式。通过与自适应滑模制导律、ST制导律和光滑二阶滑模制导律的仿真对比,验证了所设计的制导律在保证制导精度的同时,能够在有限时间内提高滑模变量的收敛速度,并且避免了参数选择困难的问题。

     

  • 图 1  导弹和目标相对运动示意图

    Figure 1.  Schematic diagram of relative motion of missile and target

    图 2  导弹弹道曲线(情形1)

    Figure 2.  Missile ballistic curves (Case 1)

    图 3  滑模变量及其一阶导数变化曲线(情形1)

    Figure 3.  Variation curves of sliding-mode variable and its first-order derivative (Case 1)

    图 4  导弹法向过载变化曲线(情形1)

    Figure 4.  Variation curves of missile normal overload (Case 1)

    图 5  导弹弹道曲线(情形2)

    Figure 5.  Missile ballistic curve (Case 2)

    图 6  滑模变量及其一阶导数变化曲线(情形2)

    Figure 6.  Variation curves of sliding-mode variable and its first-order derivative (Case 2)

    图 7  导弹法向过载变化曲线(情形2)

    Figure 7.  Variation curves of missile normal overload (Case 2)

    表  1  仿真实验结果(情形1)

    Table  1.   Simulation experimental results (Case 1)

    制导律 Δ/m treach/s tf/s
    ASMG 0.462 2 7.36 10.53 14.94
    SSOSMG 0.518 6 12.2 21.83 14.91
    STG 1.175 6 6.65 12.25 14.92
    FASTG 0.616 0 5.30 14.64 14.90
    下载: 导出CSV

    表  2  仿真实验结果(情形2)

    Table  2.   Simulation experimental results (Case 2)

    制导律 Δ/m treach/s tf/s
    ASMG 0.549 4 20.31 12.57
    SSOSMG 0.566 2 10.91 21.30 11.92
    STG 0.319 7 20.43 11.97
    FASTG 0.875 3 1.79 18.98 11.74
    下载: 导出CSV
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出版历程
  • 收稿日期:  2018-11-14
  • 录用日期:  2019-01-23
  • 网络出版日期:  2019-07-20

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