Citation: | LI Lei, GAO Yongming, WU Zhihuanet al. Fault detection for flywheels based on chaotic attractor[J]. Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(9): 1894-1902. doi: 10.13700/j.bh.1001-5965.2018.0037(in Chinese) |
Aimed at the problem that the early fault of the flywheel is difficult to detect and the precision mathematical model is difficult to be established, a fault detection method based on the characteristics of chaotic attractor is proposed. This method uses the auxiliary curved surface function and the system parameters to construct the discrete dynamical system. The approximate chaotic attractors obtained from normal data through iteration are different with the ones obtained from fault data. The difference could be used as feature for fault detection. The simulation results show that the discrete dynamical system constructed by this method can generate the chaotic attractor stably. The chaotic attractor is independent of the initial iteration point. The same faults under different working conditions have the same characteristics. The chaotic attractor feature is sensitive to small fault.
[1] |
肇刚, 李泽, 李言俊.基于TSEOPM的在轨航天器故障预报方法研究[J].计算机测量与控制, 2009, 17(12):2352-2354. http://d.old.wanfangdata.com.cn/Periodical/jsjzdclykz200912003
ZHAO G, LI Z, LI Y J.Research on method of fault prediction for onboard spacecrafts based on times series event omen pattern mining[J].Computer Meassurement & Control, 2009, 17(12):2352-2354(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/jsjzdclykz200912003
|
[2] |
苏林, 尚朝轩, 刘文静.航天器姿态控制系统故障诊断方法概述[J].长春理工大学学报(自然科学版), 2010, 33(4):23-27. doi: 10.3969/j.issn.1672-9870.2010.04.006
SU L, SHANG C X, LIU W J.Survey on the technology of fault diagnosis for spacecraft attitude control system[J].Journal of Changchun University of Science and Technology(Natural Science Edition), 2010, 33(4):23-27(in Chinese). doi: 10.3969/j.issn.1672-9870.2010.04.006
|
[3] |
GAO C, DUAN G R.Robust adaptive fault estimation for a class of nonlinear systems subject to multiplicative faults[J].Circuits, Systems, and Signal Processing, 2012, 31(6):2035-2046. doi: 10.1007/s00034-012-9434-x
|
[4] |
管宇, 张迎春, 沈毅, 等.基于迭代学习观测器的卫星姿态控制系统的鲁棒容错控制[J].宇航学报, 2012, 33(8):1080-1086. doi: 10.3873/j.issn.1000-1328.2012.08.012
GUAN Y, ZHANG Y C, SHEN Y, et al.Robust fault-tolerant control for satellite attitude control system based on iterative learning observer[J].Journal of Astronautics, 2012, 33(8):1080-1086(in Chinese). doi: 10.3873/j.issn.1000-1328.2012.08.012
|
[5] |
李知周, 张锐, 朱振才, 等.基于扩展卡尔曼滤波的动量轮故障检测方法[J].航空学报, 2010, 31(8):1614-1621. http://d.old.wanfangdata.com.cn/Periodical/hkxb201008016
LI Z Z, ZHANG R, ZHU Z C, et al.Extended Kalman filter-based fault detection for momentum wheel[J].Acta Aeronautica et Astronautica Sinica, 2010, 31(8):1614-1621(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/hkxb201008016
|
[6] |
AZIZI S M, KHORASANI K.Adistributed Kalman filter for actuator fault estimation of deep space formation flying satellites[C]//Proceedings of 20093rd Annual IEEE Systems Conference.Piscataway, NJ: IEEE Press, 2009: 354-359. https://www.mendeley.com/research-papers/distributed-kalman-filter-actuator-fault-estimation-deep-space-formation-flying-satellites/
|
[7] |
TALEBI H A, KHORASANI K.A neural network-based multiplicative actuator fault detection and isolation of nonlinear systems[J].IEEE Transactions on Control Systems Technology, 2013, 21(3):842-851. doi: 10.1109/TCST.2012.2186634
|
[8] |
SHEN Q K, JIANG B, SHI P.Novel neural networks-based fault tolerant control scheme with fault alarm[J].IEEE Transactions on Cybernetics, 2014, 44(11):2190-2201. doi: 10.1109/TCYB.2014.2303131
|
[9] |
高运广, 王仕成, 刘志国, 等.一种基于LS-SVM的联邦滤波故障检测方法[J].控制与决策, 2011, 26(9):1433-1440. http://www.cnki.com.cn/Article/CJFDTOTAL-KZYC201109031.htm
GAO Y G, WANG S C, LIU Z G, et al.Fault detection method based on LS-SVM for federated Kalman filter[J].Control and Decision, 2011, 26(9):1433-1440(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-KZYC201109031.htm
|
[10] |
陈冰, 鲁刚, 房红征, 等.基于最小二乘支持向量机的卫星异常检测方法[J].计算机测量与控制, 2014, 22(3):690-696. doi: 10.3969/j.issn.1671-4598.2014.03.014
CHEN B, LU G, FANG H Z, et al.Method of satellite anomaly detection based on least squares support vector machine[J].Computer Measurement & Control, 2014, 22(3):690-696(in Chinese). doi: 10.3969/j.issn.1671-4598.2014.03.014
|
[11] |
王日新, 龚学兵, 许敏强, 等.飞轮系统的符号动力学故障检测方法[J].哈尔滨工业大学学报, 2016, 48(10):31-38. doi: 10.11918/j.issn.0367-6234.2016.10.004
WANG R X, GONG X B, XU M Q, et al.A symbolic dynamic analysis of flywheel system for fault detection[J].Journal of Harbin Institute of Technology, 2016, 48(10):31-38(in Chinese). doi: 10.11918/j.issn.0367-6234.2016.10.004
|
[12] |
龚学兵, 王日新, 许敏强.飞轮传感器的高斯混合模型故障检测方法[J].宇航学报, 2015, 36(6):699-705. doi: 10.3873/j.issn.1000-1328.2015.06.011
GONG X B, WANG R X, XU M Q.Gaussian mixed model-based fault detection method for flywheel sensor[J].Journal of Astronautics, 2015, 36(6):699-705(in Chinese). doi: 10.3873/j.issn.1000-1328.2015.06.011
|
[13] |
龚学兵, 王日新, 许敏强.基于数据关联性分析的飞轮异常检测[J].航空学报, 2015, 36(3):898-906. http://d.old.wanfangdata.com.cn/Periodical/hkxb201503023
GONG X B, WANG R X, XU M Q.Abnormality detection for flywheel based on data association analysis[J].Acta Aeronautica et Astronautica Sinica, 2015, 36(3):898-906(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/hkxb201503023
|
[14] |
ZHANG X D, LIU X D, ZHENG Y.Chaotic dynamic behavior analysis and control for a financial risk system[J].Chinese Physics B, 2013, 22(3):260-265. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QKC20132013041700021331
|
[15] |
TAKENS F.Detecting strange attractors in turbulence[J].Lecture Notes in Mathmatics, 1981, 898:361-381. doi: 10.1007-s12079-011-0121-7/
|
[16] |
孙自强, 陈长征, 谷艳玲, 等.基于混沌和取样积分技术的大型风电增速箱早期故障诊断[J].振动与冲击, 2013, 32(9):113-117. doi: 10.3969/j.issn.1000-3835.2013.09.022
SUN Z Q, CHEN C Z, GU Y L, et al.Incipient fault diagnosis of large scale wind turbine gearbox based on chaos theory and sampling integral technology[J].Journal of Vibration and Shock, 2013, 32(9):113-117(in Chinese). doi: 10.3969/j.issn.1000-3835.2013.09.022
|
[17] |
翁鹤, 皮德常.混沌RBF神经网络异常检测算法[J].计算机技术与发展, 2014, 24(7):29-33. http://d.old.wanfangdata.com.cn/Periodical/wjfz201407008
WENG H, PI D C.Chaotic RBF neural network anomaly deection algorithm[J].Computer Technology and Development, 2014, 24(7):29-33(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/wjfz201407008
|
[18] |
高瑞乾, 甘新年, 闫源江.基于混沌特征的航空发动机故障诊断研究[J].国外电子测量技术, 2011, 30(3):24-28. doi: 10.3969/j.issn.1002-8978.2011.03.007
GAO R Q, GAN X N, YAN Y J.Study on aero-engine fault diagnosis based on chaotic feature[J].Foreign Electronic Measurement Technology, 2011, 30(3):24-28(in Chinese). doi: 10.3969/j.issn.1002-8978.2011.03.007
|
[19] |
侯胜利, 胡金海, 李应红.基于混沌变量的航空发动机性能监控与故障诊断[J].航空动力学报, 2005, 20(2):314-317. doi: 10.3969/j.issn.1000-8055.2005.02.028
HOU S L, HU J H, LI Y H.Aeroengine performance monitoring and fault diagnosis based on chaos variable[J].Journal of Aerospace Power, 2005, 20(2):314-317(in Chinese). doi: 10.3969/j.issn.1000-8055.2005.02.028
|
[20] |
BIALKE B.High fidelity mathematical modeling of reaction wheel performance[J].Advances in the Astronautical Sciences, 1998, 98:483-496. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=CC026077273
|
[21] |
于万波, 赵斌.曲面迭代混沌特性研究[J].物理学报, 2014, 63(12):120502. doi: 10.7498/aps.63.120502
YU W B, ZHAO B.A new chaotic attractor graphics drawing method based on the curved iteration[J].Acta Physica Sinica, 2014, 63(12):120502(in Chinese). doi: 10.7498/aps.63.120502
|