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基于T-S模糊故障树的多态导航系统性能可靠性

刘勇 罗德林 石翠 吴华新

刘勇, 罗德林, 石翠, 等 . 基于T-S模糊故障树的多态导航系统性能可靠性[J]. 北京航空航天大学学报, 2021, 47(2): 240-246. doi: 10.13700/j.bh.1001-5965.2020.0276
引用本文: 刘勇, 罗德林, 石翠, 等 . 基于T-S模糊故障树的多态导航系统性能可靠性[J]. 北京航空航天大学学报, 2021, 47(2): 240-246. doi: 10.13700/j.bh.1001-5965.2020.0276
LIU Yong, LUO Delin, SHI Cui, et al. Performance reliability of multi-state navigation system based on T-S fuzzy fault tree[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(2): 240-246. doi: 10.13700/j.bh.1001-5965.2020.0276(in Chinese)
Citation: LIU Yong, LUO Delin, SHI Cui, et al. Performance reliability of multi-state navigation system based on T-S fuzzy fault tree[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(2): 240-246. doi: 10.13700/j.bh.1001-5965.2020.0276(in Chinese)

基于T-S模糊故障树的多态导航系统性能可靠性

doi: 10.13700/j.bh.1001-5965.2020.0276
基金项目: 

国家自然科学基金 51605095

详细信息
    作者简介:

    刘勇  男, 博士, 高级工程师。主要研究方向: 系统可靠性、安全性

    罗德林  男, 博士, 教授, 硕士生导师。主要研究方向: 飞行器制导与控制、无人机协同控制决策、计算智能

    石翠  女, 硕士研究生。主要研究方向: 系统可靠性、安全性

    吴华新  男, 博士, 讲师。主要研究方向: 组网系统技术

    通讯作者:

    刘勇. E-mail: 117903739@qq.com

  • 中图分类号: V249.32

Performance reliability of multi-state navigation system based on T-S fuzzy fault tree

Funds: 

National Natural Science Foundation of China 51605095

More Information
  • 摘要:

    考虑复杂多态导航系统在不同故障状态具有不同的性能可靠性,将T-S模糊故障树模型应用到多态导航系统性能分析中,以T-S模糊故障树表示系统的性能变量,映射为系统性能指标值,结合统计学中的期望思想,计算不同层次事件发生故障时系统的性能可靠性,并以典型的全球定位系统(GPS)和惯性定向定位导航系统(INS)相组合的导航系统进行分析建树,求解系统在多故障状态下的性能可靠性指标,并进行了实例分析。结果表明:无论底事件处于轻微还是严重故障状态,对系统性能都会产生影响,中间事件是导航系统的薄弱环节,即便是中间层轻微故障,也会引起系统性能可靠性较大的下降。

     

  • 图 1  模糊数的隶属函数

    Figure 1.  Membership functions for fuzzy numbers

    图 2  组合导航系统T-S模糊故障树

    Figure 2.  T-S fuzzy fault tree of integrated navigation system

    图 3  组合导航系统贝叶斯网络

    Figure 3.  Bayesian network diagram of integrated navigation system

    表  1  T-S门3规则

    Table  1.   Rules for T-S gate 3

    规则 x1 x2 x3 y1
    0 0.5 1
    1 0 0 0 1 0 0
    2 0 0 0.5 0.3 0.4 0.3
    3 0 0 1 0.3 0.4 0.5
    4 0 0.5 1 0.1 0.5 0.4
    5 0 0.5 0.5 0.1 0.4 0.5
    6 0 0.5 1 0 0 1
    27 1 1 1 0 0 1
    下载: 导出CSV

    表  2  T-S门4规则

    Table  2.   Rules for T-S gate 4

    规则 x4 x5 y2
    0 0.5 1
    1 0 0 1 0 0
    2 0 0.5 0.2 0.5 0.3
    3 0 1 0 0 1
    4 0.5 0 0.2 0.4 0.4
    5 0.5 0.5 0.1 0.3 0.6
    6 0 0.5 0 0 1
    7 1 0 0 0 1
    8 1 0.5 0 0 1
    9 1 1 0 0 1
    下载: 导出CSV

    表  3  不同故障状态下的定位精度

    Table  3.   Positioning accuracy for different fault conditions

    顶事件T 故障状态(序号) WXi
    1 0 0.002 3
    2 0.5 0.012 2
    3 1 0.030 3
    下载: 导出CSV

    表  4  底事件的模糊可能性

    Table  4.   Fuzzy possibility for base event

    底事件 故障状态(序号) 模糊可能性
    1 0.881 6
    x2 2 0.059 2
    3 0.059 2
    1 0.908 5
    x3 2 0.045 8
    3 0.045 8
    1 10.941 8
    x8 2 20.029 1
    3 30.029 1
    下载: 导出CSV

    表  5  中间事件的模糊可能性

    Table  5.   Fuzzy possibility for intermediate event

    中间事件 故障状态(序号) 模糊可能性
    1 0.956 0
    y1 2 0.011 2
    3 0.032 8
    1 0.921 6
    y2 2 0.022 6
    3 0.055 8
    下载: 导出CSV

    表  6  顶事件的模糊可能性

    Table  6.   Fuzzy possibility for top event

    顶事件 故障状态(序号) 模糊可能性
    1 0.901 0
    T 2 0.002 8
    3 0.016 9
    下载: 导出CSV

    表  7  中间事件故障时顶事件的模糊可能性

    Table  7.   Fuzzy possibility for top event when intermediate event fails

    顶事件 故障状态(序号) 模糊可能性
    1 0.231 6
    T 2 0.280 2
    3 0.488 2
    下载: 导出CSV
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出版历程
  • 收稿日期:  2020-06-17
  • 录用日期:  2020-07-17
  • 网络出版日期:  2021-02-20

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