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

doi:10.13700/j.bh.1001-5965.2020.0276

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

刘勇^1, ,,
罗德林²,
石翠¹,
吴华新³

1.
工业和信息化部电子第五研究所, 广州 510610
2.
厦门大学航空航天学院, 厦门 361102
3.
空军预警学院, 武汉 430019

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
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- 被引次数: 0
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

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

LIU Yong^{1
, ,},
LUO Delin²,
SHI Cui¹,
WU Huaxin³

1.
The Fifth Electronics Research Institute of the Ministry of Industry and Information Technology, Guangzhou 510610, China
2.
School of Aerospace Engineering, Xiamen University, Xiamen 361102, China
3.
Air Force Early Warning Academy, Wuhan 430019, China

Funds:

National Natural Science Foundation of China 51605095

More Information

Corresponding author: LIU Yong. E-mail: 117903739@qq.com

摘要

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。
- T-S模型 /
- 模糊故障树 /
- 多态导航系统 /
- 性能可靠性 /
- 贝叶斯网络
Abstract:
The T-S fuzzy fault tree model is applied to the performance analysis of the multi-state navigation system, considering that complex multi-state system has different performance reliability in different fault states. The T-S fuzzy fault tree is used to represent the performance variables of the system and mapped to the performance index of the multi-state system. Combined with the expectation idea of statistics, the performance reliability of the system is calculated when the system is at different levels of failure event. The navigation system, combined with the typical Global Positioning System (GPS) and the Inertial Navigation System(INS), is used to analyze and build the tree to solve the problem of the system in the multi-fault state. The performance reliability index of the system is analyzed by making an example analysis. The results show that no matter whether the bottom event is in a minor or severe failure state, it will affect the system performance. The intermediate event is a weak link in the navigation system. Even a slight failure in the middle layer will cause a significant decrease in system performance reliability.
- T-S model /
- fuzzy fault tree /
- multi-state navigation system /
- performance reliability /
- Bayesian network

HTML全文

图 1 模糊数的隶属函数

Figure 1. Membership functions for fuzzy numbers

下载: 全尺寸图片幻灯片

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

下载: 全尺寸图片幻灯片

图 3 组合导航系统贝叶斯网络

Figure 3. Bayesian network diagram of integrated navigation system

下载: 全尺寸图片幻灯片

表 1 T-S门3规则

Table 1. Rules for T-S gate 3

规则	x₁	x₂	x₃	y₁
规则	x₁	x₂	x₃	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
规则	x₄	x₅	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)	W_{X_i}
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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