针对舰船组合导航系统受极区极端恶劣环境影响发生外部量测故障从而降低系统精度的问题,提出基于马氏距离的极区容错联邦滤波算法。通过引入真实量测与预测量测之间的马氏距离来衡量各个子滤波器的量测质量,并通过马氏距离来构建各个子滤波器在主滤波器最优融合中对应的融合系数,降低故障子滤波器在最优融合中的比例,减少故障子滤波器对全局估计的不良影响。实验仿真表明,该算法相较于传统的联邦滤波算法,尤其在子滤波器量测故障情况下,具有更好的容错性和可靠性。
Aiming at the problem that the integrated navigation system of ships suffers from external measurement failure due to the extreme harsh environment in the polar region, which reduces the system accuracy, a polar fault-tolerant federated filtering algorithm based on Markov distance is proposed. The measurement quality of each sub-filter is measured by introducing the mahalanobis distance between the real measurement and the predicted measurement, and the corresponding fusion coefficient of each sub-filter in the optimal fusion of the main filter is constructed by using the mahalanobis distance, so as to reduce the ratio of the fault sub-filter in the optimal fusion and reduce the adverse effect of the fault sub-filter on the global estimation. The simulation results show that this algorithm has better fault-tolerance and reliability than the traditional federated filtering algorithm, especially in the case of sub-filter measurement failure.
2024,46(8): 143-148 收稿日期:2023-4-12
DOI:10.3404/j.issn.1672-7649.2024.08.026
分类号:U666.1
基金项目:国家自然科学基金资助项目(62073093,62003108)
作者简介:程建华(1977-),男,博士,教授,研究方向为惯性导航及组合导航
参考文献:
[1] 程建华, 刘佳鑫, 赵琳. 极区航海导航与定位保障技术发展综述[J]. 中国舰船研究, 2021, 16(5): 16-29.
CHENG J H, LIU J X, ZHAO L. A survey on polar marine navigation and positioning systems[J]. Chinese Journal of Ship Research, 2021, 16(5): 16-29.
[2] MING T. review of polar integrated navigation algorithm[J]. Journal of physics. Conference series, 2019, 1213(3): 32017.
[3] HUANG L, XU X, ZHAO H, et al. Transverse SINS/DVL integrated polar navigation algorithm based on virtual sphere model[J]. Mathematical Problems in Engineering, 2020 : 1-11.
[4] ZHANG Y, LIU Z, MAO Z, et al. Application research of in-vehicle SINS/GNSS integrated navigation algorithm[C]// 2019 IEEE 4th Advanced Information Technology, Electronic and Automation Control Conference (IAEAC), 2019.
[5] 马宏阳, 程鹏飞, 黄华东. GPS/INS位置、速度和姿态全组合导航系统研究[J]. 测绘通报, 2016(3): 10-14.
MA H Y, CHENG P F, HUANG H D. Research on the complete integrated GPS/INS navigation system of position, velocity and attituade[J]. Bulletin of Surveying and Mapping, 2016(3): 10-14.
[6] 颜文娴, 刘党辉. 组合导航系统容错技术研究进展[J]. 全球定位系统, 2015, 40(4): 56-60.
YAN W X, LIU D H. Development of fault-tolerant technology in integrated navigation system[J]. GNSS World of China, 2015, 40(4): 56-60.
[7] 秦永元, 张洪钺, 汪叔华. 卡尔曼滤波与组合导航原理[M]. 西安: 西北工业大学出版社, 2015.
[8] 严恭敏, 翁浚. 捷联惯导算法与组合导航原理[M]. 西安: 西北工业大学出版社, 2019.
[9] 王磊. 深海AUV多源导航信息融合方法研究[D]. 南京: 东南大学, 2015.
[10] 何广军, 康旭超. 基于矢量分配的组合导航容错联邦滤波算法[J]. 国防科技大学学报, 2020, 42(5): 98-106.
HE G J, KANG X C. Fault-tolerated filtering algorithm based on vector assignment in integrated navigation system[J]. Journal of National University of Defense Technology, 2020, 42(5): 98-106.
[11] SHEN K, WANG M, FU M, et al. Observability analysis and adaptive information fusion for integrated navigation of unmanned ground vehicles[J]. IEEE Transactions on Industrial Electronics, 2020, 67(9): 7659-7668.
[12] XIONG H L, BIAN R C, LI Y J, et al. Fault-Tolerant GNSS/SINS/DVL/CNS integrated navigation and positioning mechanism based on adaptive information sharing factors[J]. IEEE Systems Journal, 2020, 14(3): 3744-3754.
[13] 高社生, 洪根元, 高广乐, 等. 基于马氏距离的联邦卡尔曼滤波在SINS/SRS/CNS导航中的应用[J]. 中国惯性技术学报, 2021, 29(2): 141-146.
GAO S S, HONG G Y, GAO G L, et al. Mahalanobis distance based federated Kalman filter for SINS/SRS/CNS integrated navigation system[J]. Journal of Chinese Inertial Technology, 2021, 29(2): 141-146.
[14] XIONG Z, CHEN J, WANG R, et al. A new dynamic vector formed information sharing algorithm in federated filter[J]. Aerospace Science and Technology, 2013, 29(1): 37-46.
[15] 姚娅珍, 王虹, 袁冠杰, 等. 组合导航中联邦滤波信息分配因子优选研究[J]. 微波学报, 2021, 37(S1): 245-248.
YAO Y Z, WANG H, YUAN G J, et al. Research on optimal selection of federated filter information distribution factors in integrated navigation[J]. Journal of Microwaves, 2021, 37(S1): 245-248.
[16] 卞鸿巍, 刘文超, 温朝江, 等. 极区导航[M]. 北京: 科学出版社, 2020: 127-133.
[17] 张福斌, 马朋, 王智辉. 基于横坐标系的捷联惯性导航系统/多普勒速度仪极区组合导航算法[J]. 兵工学报, 2016, 37(7): 1229-1235.
ZHANG F B, MA P, WANG Z H. SINS /DVL Integrated navigation algorithm based on transversal coordinate frame in polar region[J]. Acta Armamentarii, 2016, 37(7): 1229-1235.
[18] 康瑛瑶. 格网惯性/声学极区组合导航关键技术研究[D]. 哈尔滨: 哈尔滨工程大学, 2020.