国家自然科学基金(61751304,61833016,61873273,61702142,61773388,61603398,61833013)
陕西省杰出青年基金(2020JC-34)
海南省重点研发计划(ZDYF2019007)
[1] Hu H F. Reliability analysis on complex and fault tolerant GNC system of launch vehicle. Aerospace Control, 2014, 32: 84--91. Google Scholar
[2] Hu H F, Song Z Y. Reliability and cost analysis of electronic products of flight control for aerospave vehicles. Missiles and Spave Vehicles, 2018, 365: 69--73. Google Scholar
[3] Yu Q. Research on Reliability Evalustion and Life Test Methods for Space Relays. Harbin: Harbin Institute of Technology, 2011. Google Scholar
[4] Qiao J Z, Lei Y J, Guo L. 微纳卫星姿态控制系统的精细抗干扰容错控制方法. Sci Sin-Inf, 2012, 42: 1327-1337 CrossRef Google Scholar
[5] Li W, Lu B Y. Intelligent active fault-tolerant control using multiple models approach. Comput Simulation, 2008, 25: 328--331. Google Scholar
[6] Zhou D H, Ding X. Theory and applications of fault tolerant control. ACTA Autom Sin, 2000, 26: 788--797. Google Scholar
[7] De M K. Stable fault-tolerance control for a class of networked control systems. ACTA Autom Sin, 2005, 31: 267--273. Google Scholar
[8] Zhai G F, Zhao X M, Liu M K, et al. Research on reliability life forecasting based on model-building of super-path time for aerospace relays. ACTA Aeronaut ET Astronaut Sin, 1998, 19: 617--620. Google Scholar
[9] Meng Y C. Research on reliability modeling and evaluation based on the degradation of performance parameters for aerospace relays. Dissertation for Master Degree. Harbin: Harbin Institute of Technology, 2015. Google Scholar
[10] Zhou Z, Feng Z, Hu C. Aeronautical relay health state assessment model based on belief rule base with attribute reliability. Knowledge-Based Syst, 2020, 197: 105869 CrossRef Google Scholar
[11] Cai G B, Hu C H, Cai Y N, et al. Diagnosis of switch/relay circuit fault based on qualitative reasoning. Journal of System Simulation, 2006, 18: 829--831. Google Scholar
[12] Wang J J, Wu X R. Adaptive diagnosis system for aviation relay. Aeronautical Manufactruring Technology, 2007, 2: 91--93. Google Scholar
[13] Yuan H B, Yuan H W, Lv H. Comprehensive decision of electrical apparatus control system failure based on AHP. Electrotech Appl, 2006, 25: 42--44. Google Scholar
[14] Zhou Z J, Zhao F J, Hu C H, et al. Failure prognosis method based on evidential reasoning for aerospace relay. J Shandong Univ (Eng Sci), 2017, 47: 22--29. Google Scholar
[15] Liang H M, Ren W B, Ye X R, et al. Research on the reliability tolerance analysis method of electromagnetic relay in aerospace. Chin J Aeronaut, 2005, 18: 67--73. Google Scholar
[16] Xiao B, Hu Q L, Ma G F. Robust fault tolerant attitude control for spacecraft under partial loss of actuator effectiveness. Control Decition, 2011, 6: 801--805. Google Scholar
[17] Zhang A H, Hu Q L, Huo X, et al. Fault reconstruction and fault tolerant attitude control for over-activated spacecraft under reaction wheel failure. J Astronaut, 2013, 3: 75--82. Google Scholar
[18] Xu Y F, Jiang B, Qi R Y, et al. T-S fuzzy adaptive observaer based fault diagnosis and fault tolerant control for near space vehicle. J Southeast Univ, 2009, 39: 189--194. Google Scholar
[19] Feng Z, Zhou Z J, Hu C. A New Belief Rule Base Model With Attribute Reliability. IEEE Trans Fuzzy Syst, 2019, 27: 903-916 CrossRef Google Scholar
[20] Zhou Z J, Hu G Y, Zhang B C. A Model for Hidden Behavior Prediction of Complex Systems Based on Belief Rule Base and Power Set. IEEE Trans Syst Man Cybern Syst, 2018, 48: 1649-1655 CrossRef Google Scholar
[21] Zhou Z J, Hu G Y, Hu C H. A Survey of Belief Rule-Base Expert System. IEEE Trans Syst Man Cybern Syst, 2019, : 1-15 CrossRef Google Scholar
[22] Zhou Z G, Liu F, Li L L. A cooperative belief rule based decision support system for lymph node metastasis diagnosis in gastric cancer. Knowledge-Based Syst, 2015, 85: 62-70 CrossRef Google Scholar
[23] Chen Y W, Yang J B, Pan C C. Identification of uncertain nonlinear systems: Constructing belief rule-based models. Knowledge-Based Syst, 2015, 73: 124-133 CrossRef Google Scholar
Figure 1
(Color online) The fault diagnosis and tolerance control model for the aerospace relay
Figure 2
(Color online) Scanning electron micrograph of JRC-7M aerospace relay in different states
Figure 3
(Color online) Output of the fault diagnosis model for the aerospace relay
Figure 4
(Color online) The change of absorption time after the voltage reconfiguration for the aerospace relay
L | LL | M | SH | H | |
Reference value | 1.6949 | 1.735 | 1.770 | 1.820 | 1.8573 |
N | LF | MF | SF | A | |
Reference value | 1 | 2 | 3 | 4 | 5 |
TD | LD | MD | BD | SD | |
Reference value | 1.3539 | 2 | 2.8 | 4 | 4.6868 |
L | SL | M | SH | H | |
Reference value | 0.4892 | 1.4 | 1.8 | 2.7 | 3.8314 |
No. | $t$ | $(t-1)$ | Rule weight | Model output | No. | $t$ | $(t-1)$ | Rule weight | Model output |
1 | L | L | 0 | $\left\{~{0.15,~0.31,~0.14,~0.01,~0.36}~\right\}$ | 14 | M | SH | 0.61 | $\left\{~{0.02,~0.11,~0,~0.33,~0.52}~\right\}$ |
2 | L | LL | 0.01 | $\left\{~{0.58,~0.29,~0.02,~0.03,~0.04}~\right\}$ | 15 | M | H | 1 | $\left\{~{0.12,~0.54,~0.08,~0.21,~0.02}~\right\}$ |
3 | L | M | 0.24 | $\left\{~{0.13,~0.13,~0.03,~0.30,~0.39}~\right\}$ | 16 | SH | L | 0.71 | $\left\{~{0.02,~0.19,~0.06,~0.57,~0.14}~\right\}$ |
4 | L | SH | 0.28 | $\left\{~{0.06,~0.36,~0.10,~0.37,~0.07}~\right\}$ | 17 | SH | LL | 0.74 | $\left\{~{0.18,~0.12,~0.25,~0.42,~0}~\right\}$ |
5 | L | H | 0.57 | $\left\{~{0.03,~0.09,~0.02,~0.78,~0.06}~\right\}$ | 18 | SH | M | 1 | $\left\{~{0,~0.01,~0,~0.87,~0.09}~\right\}$ |
6 | LL | L | 0.03 | $\left\{~{0.71,~0.10,~0.15,~0.00,~0.03}~\right\}$ | 19 | SH | SH | 0.36 | $\left\{~{0,~0,~0,~0.19,~0.79}~\right\}$ |
7 | LL | LL | 0.32 | $\left\{~{1,~0,~0,~0,~0}~\right\}$ | 20 | SH | H | 0.01 | $\left\{~{0.26,~0.25,~0.31,~0,~0.15}~\right\}$ |
8 | LL | M | 0.10 | $\left\{~{0.05,~0.09,~0.15,~0.44,~0.24}~\right\}$ | 21 | H | L | 0.27 | $\left\{~{0.10,~0.52,~0.29,~0.01,~0.05}~\right\}$ |
9 | LL | SH | 0.53 | $\left\{~{0.15,~0.12,~0.28,~0.31,~0.12}~\right\}$ | 22 | H | LL | 0.75 | $\left\{~{0.25,~0.01,~0.37,~0.01,~0.34}~\right\}$ |
10 | LL | H | 0.77 | $\left\{~{0,~0.35,~0.28,~0.03,~0.32}~\right\}$ | 23 | H | M | 0.60 | $\left\{~{0.28,~0.08,~0.47,~0.08,~0.07}~\right\}$ |
11 | M | L | 0.48 | $\left\{~{0.33,~0.07,~0.28,~0.15~,0.15}~\right\}$ | 24 | H | SH | 0.03 | $\left\{~{0.03,~0.07,~0.39,~0.07,~0.41}~\right\}$ |
12 | M | LL | 0.01 | $\left\{~{0.34,~0.05,~0.33,~0.08,~0.18}~\right\}$ | 25 | H | H | 0.02 | $\left\{~{0.19,~0.25,~0.08,~0.23,0.23}~\right\}$ |
13 | M | M | 0.68 | $\left\{~{0.43,~0.19,~0.31,~0,~0.04}~\right\}$ |
No. | $t$ | $(t-1)$ | Rule weight | Model output | No. | $t$ | $(t-1)$ | Rule weight | Model output |
1 | TD | TD | 0.10 | $\left\{~{0.05,~0.14,~0.36,~0.29,~0.13}~\right\}$ | 14 | MD | BD | 0.43 | $\left\{~{0.22,~0.06,~0.64,~~0.05,~0.01}~\right\}$ |
2 | TD | LD | 0.06 | $\left\{~{0.18,~0.33,~0.14,~0.10,~0.23}~\right\}$ | 15 | MD | SD | 0.75 | $\left\{~{0.11,~0.42,~~0.17,~0.25,~0.03}~\right\}$ |
3 | TD | MD | 0.78 | $\left\{~{0.04,~0.05,~0.02,~0.79,~0.08}~\right\}$ | 16 | BD | TD | 0.10 | $\left\{~{0.14,~0.30,~~0.15,~0.09,~0.30}~\right\}$ |
4 | TD | BD | 0.17 | $\left\{~{0.57,~0.01,~0.09,~0.21,~0.09}~\right\}$ | 17 | BD | LD | 0.46 | $\left\{~{0.06,~0.21,~~0.02,~0.45,~0.24}~\right\}$ |
5 | TD | SD | 0.51 | $\left\{~{0.27,~0.09,~0.44,~0.13,~0.05}~\right\}$ | 18 | BD | MD | 0.00 | $\left\{~{0.27,0.17,~~0.10,0.27,~0.17}~\right\}$ |
6 | LD | TD | 0.73 | $\left\{~{0.83,~0.01,~0.06,~0.07,~0}~\right\}$ | 19 | BD | BD | 0.31 | $\left\{~{0.05,0.22,0.15,~0.27,~0.29}~\right\}$ |
7 | LD | LD | 0.61 | $\left\{~{0.58,~0.02,~0,~0.05,~0.32}~\right\}$ | 20 | BD | SD | 0.10 | $\left\{~{0.14,0.05,~0.20,~0.21,~0.38}~\right\}$ |
8 | LD | MD | 0.84 | $\left\{~{0.52,~0.01,~0.24,~0.19,~0.01}~\right\}$ | 21 | SD | TD | 0.01 | $\left\{~{0.31,0.15,0.42,0.09,0}~\right\}$ |
9 | LD | BD | 0.18 | $\left\{~{0.42,~0.08,~0.02,~0.19,~0.26}~\right\}$ | 22 | SD | LD | 0.53 | $\left\{~{0.22,0.26,~0.19,0.17,0.13}~\right\}$ |
10 | LD | SD | 0.34 | $\left\{~{0.19,~0.14,~0.16,~0.11,~0.37}~\right\}$ | 23 | SD | MD | 0.65 | $\left\{~{0.21,0.21,~0,0.48,0.08}~\right\}$ |
11 | MD | TD | 0.17 | $\left\{~{0.26,~0.08,~0.14,~0.29,~0.21}~\right\}$ | 24 | SD | BD | 0.85 | $\left\{~{0,0.01,~0.01,0.01,0.96}~\right\}$ |
12 | MD | LD | 0.75 | $\left\{~{0.25,~0.06,~0.37,~0.14,~0.15}~\right\}$ | 25 | SD | SD | 0.99 | $\left\{~{0,0,0,~0.21,0.76}~\right\}$ |
13 | MD | MD | 0.56 | $\left\{~{0.09,~0.10,~0.54,~0.23,~0.01}~\right\}$ |