惯性导航系统动基座传递对准可观测性分析

黄帅; 蔡洪; 丁智坚

doi:10.13700/j.bh.1001-5965.2015.0765

惯性导航系统动基座传递对准可观测性分析

doi: 10.13700/j.bh.1001-5965.2015.0765

国防科学技术大学航天科学与工程学院, 长沙 410073

详细信息

作者简介:
黄帅,女,硕士研究生。主要研究方向:飞行器导航制导与控制。Tel.:0731-87001191,E-mail:ase_huang@hotmail.com;蔡洪,男,博士,教授,博士生导师。主要研究方向:飞行器导航制导与控制。Tel.:0731-87001191,E-mail:hcai@nudt.edu.cn;丁智坚,男,博士研究生。主要研究方向:惯性导航技术。Tel.:0731-87001191,E-mail:dzjqe@126.com

通讯作者:
蔡洪,Tel.:0731-87001191,E-mail:hcai@nudt.edu.cn

中图分类号: V448.12
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- 被引次数: 0
出版历程
- 收稿日期: 2015-11-20
- 修回日期: 2016-04-15
- 网络出版日期: 2016-11-20

Observability analysis for transfer alignment of inertial navigation system on moving base

College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China

摘要

摘要: 针对机载武器惯性导航系统动基座传递对准问题，以系统原始的非线性模型为分析对象，根据可观测性的基本定义，将系统可观测性问题转化为判断系统状态量是否存在唯一解。通过分析系统各状态量的解同载体运动方式之间的关系，得出了系统各状态量可观测的充分条件，并设计了相应的机动方案。结果表明，载体在不同加速度下的平移运动可增强惯性器件误差、安装误差角和姿态的可观测性，而载体的旋转运动则有助于提高杆臂的可观测性。与传统方法不同，该方法分析过程简洁明了，且物理意义明确，为合理规划载体的机动方案提供了理论指导，同时，也为其他非线性系统的分析与设计提供了新的思路。最后，采用扩展Kalman滤波（EKF）对系统进行了仿真，仿真结果验证了理论分析结果的正确性和有效性。
- 可观测性分析 /
- 传递对准 /
- 机动方案 /
- 动基座 /
- 惯性导航系统
Abstract: A novel approach that starts from the basic observability definition is used to investigate the observability of the transfer alignment system on moving base. The original nonlinear state equations are analyzed directly to eliminate errors of the model. Sufficient conditions to make alignment fully observable are analytically derived. And maneuver scheme of vehicle is designed according to it. The results show that translatory motions with varying acceleration can enhance the observability of sensor bias, fix error angle and attitude, whereas angular motions are in favor of the observability of the lever arm. Different from traditional linearization-based observability studies, this kind of analysis approach is straightforward and comprehensive, with no need of nonanalytical support from numerical simulations. Besides, it has explicit physical meanings, revealing the inherent connecting link between the observability of transfer alignment system and vehicle maneuvers, and providing new insights into the analysis and design of nonlinear systems. Finally, covariance simulations with an extended Kalman filter (EKF) are carried out to estimate the states, and the numerical results accord with the theoretical analysis.
- observability analysis /
- transfer alignment /
- maneuver scheme /
- moving base /
- inertial navigation system

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参考文献(21)

[1]	KAIN J E,CLOUTIER J R.Rapid transfer alignment for tactical weapon application:AIAA-1989-3581[R].Reston:AIAA,1989:1290-1300.
[2]	高伟,奔粤阳,李倩.捷联惯性导航系统初始对准技术[M].北京:国防工业出版社,2014:124.GAO W,BEN Y Y,LI Q.Initial alignment for strapdown inertial navigation system[M].Beijing:National Defense Industry Press,2014:124(in Chinese).
[3]	韩英宏,陈万春.新型快速传递对准方法[J].北京亚洲成人在线一二三四五六区学报,2012,38(2):149-152.HAN Y H,CHEN W C.New method for rapid transfer alignment[J].Journal of Beijing University of Aeronautics and Astronautics,2012,38(2):149-152(in Chinses).
[4]	解春明,赵剡,王纪南.传递对准中机翼弹性变形建模与滤波处理[J].北京亚洲成人在线一二三四五六区学报,2010,36(8):931-935.XIE C M,ZHAO Y,WANG J N.Modeling of wing flexure and filtering solution in transfer alignment[J].Journal of Beijing University of Aeronautics and Astronautics,2010,36(8):931-935(in Chinses).
[5]	高伟,张亚,孙骞,等.传递对准中杆臂效应的误差分析与补偿[J].仪器仪表学报,2013,34(3):559-565.GAO W,ZHANG Y,SUN Q,et al.Error analysis and compensation for lever-arm effect in transfer alignment[J].Chinese Journal of Scientific Instrument,2013,34(3):559-565(in Chinese).
[6]	LYOU J,LIM Y C.Transfer alignment considering measurement time delay and ship body flexure[J].Journal of Mechanical Science and Technology,2009,23:195-203.
[7]	刘红光,陈志刚,陈刚.基准信息时间延迟对速度匹配传递对准性能的影响分析[J].中国惯性技术学报,2012,20(5):544-551.LIU H G,CHEN Z G,CHEN G.Time-delay's effect on velocity matching transfer alignment[J].Journal of Chinese Inertial Technology,2012,20(5):544-551(in Chinese).
[8]	陈雨,赵剡,李群生,等.快速传递对准中主惯导信息滞后补偿方法[J].中国惯性技术学报,2013,21(5):576-580.CHEN Y,ZHAO Y,LI Q S,et al.Compensation method for master inertial navigation system information delay in rapid transfer alignment[J].Journal of Chinese Inertial Technology,2013,21(5):576-580(in Chinese).
[9]	江云,鲁浩,位晓峰.弹载捷联惯导系统空中传递对准精度评估[J].弹箭与制导学报,2012,32(1):21-26.JIANG Y,LU H,WEI X F.Accuracy estimation for missile-borne strapdown inertial navigation systems during in-flight transfer alignment[J].Journal of Projectiles,Rockets,Missiles and Guidance,2012,32(1):21-26(in Chinese).
[10]	解春明,赵剡,邓俊云.一种改进的自适应平方根传递对准滤波算法[J].系统工程与电子技术,2011,33(3):622-626.XIE C M,ZHAO Y,DENG J Y.Improved adaptive square root filtering algorithm for transfer alignment[J].Systems Engineering and Electronics,2011,33(3):622-626(in Chinese).
[11]	HAM F M,BAR-ITZHACK I Y.Observability,eigenvalues,and Kalman filtering[J].IEEE Transaction on Aerospace and Electronic Systems,1983,19(2):269-273.
[12]	KRELNDLER E,SARACHIK B E.On the concepts of controllability and observability of linear systems[J].IEEE Transactions on Automatic Control,1964,AC-9(2):129-136.
[13]	房建成,周锐,祝世平.捷联惯导系统动基座对准的可观测性分析[J].北京亚洲成人在线一二三四五六区学报,1999,25(6):714-719.FANG J C,ZHOU R,ZHU S P.Observability analysis of strapdown inertial navigation system on moving base[J].Journal of Beijing University of Aeronautics and Astronautics,1999,25(6):714-719(in Chinses).
[14]	秦峰,战兴群,湛雷,等.机载武器传递对准可观测性分析[J].北京亚洲成人在线一二三四五六区学报,2012,38(9):1134-1138.QIN F,ZHAN X Q,ZHAN L,et al.Observability analysis of transfer alignment of airborne weapons[J].Journal of Beijing University of Aeronautics and Astronautics,2012,38(9):1134-1138(in Chinese).
[15]	GOSHEN-MESKIN D,BAR-ITZHACK I Y.Observability analysis of piece-wise constant systems-part I:Theory[J].IEEE Transaction on Aerospace and Electronic Systems,1992,28(4):1056-1067.
[16]	GOSHEN-MESKIN D,BAR-ITZHACK I Y.Observability analysis of piece-wise constant systems-part Ⅱ:Application to inertial navigation in-flight alignment[J].IEEE Transaction on Aerospace and Electronic Systems,1992,28(4):1068-1075.
[17]	汤勇刚.载波相位时间差分/捷联惯导组合导航方法研究[D].长沙:国防科技大学,2007:9-11.TANG Y G.Research on time-differenced carrier phase/SINS integrated navigation approach[D].Changsha:National University of Defense Technology,2007:9-11(in Chinese).
[18]	WEI M,SCHWARZ K P.A strapdown inertial algorithm using an earth-fixed cartesian frame[J].Journal of Institute of Navigation,1990,37(2):153-167.
[19]	CHEN C T.Linear system theory and design[M].3rd ed.New York:Oxford University Press,1999.
[20]	BLACK H D.A passive system for determining the attitude of a satellite[J].AIAA Journal of Guidance,Control,and Dynamics,1964,2(7):1350-1351.
[21]	SHUSTER M D,OH S D.Three-axis attitude determination from vector observations[J].AIAA Journal of Guidance,Control,and Dynamics,1981,4(1):70-77.