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递推阻尼最小二乘及其在INS双星组合中应用 被引量:3

Recursive damped least square and its application in INS/DS integrated system
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摘要 由于双星系统的误差模型未知 ,且稳定性较差 ,采用Kalman滤波实现惯导 (INS) 双星组合导航时 ,其滤波特性较差 ;而此时最小二乘法是实际工程应用中常用的方法 ,但易产生参数爆发现象 .因此 ,提出了一种基于多输入 多输出 (MI MO)系统的递推阻尼最小二乘法 ,并将其应用到INS 双星组合导航系统中 .仿真结果表明 ,利用递推阻尼最小二乘法能达到和递推最小二乘法同样的精度 。 The filtering performance is unsatisfactory while INS/DS (double-star) integrated navigation system is implemented by Kalman filtering technology, because the model error of double-star system is unknown and the stability is not good. As an alternative, the least square(LS)scheme is widely used in practical engineering application. But LS scheme is easy to bring about the problem of parameter burst-off. Therefore, a modified LS scheme based on multiinput-multioutput system, i.e. recursive damped least square (RDLS) scheme, was developed, and has been applied to INS/DS integrated navigation system. The simulation results show that the RDLS scheme has the same estimation precision as the recursive least square (RLS) scheme, and the parameter burst-off is obviously restricted.
出处 《北京航空航天大学学报》 EI CAS CSCD 北大核心 2003年第12期1136-1138,共3页 Journal of Beijing University of Aeronautics and Astronautics
基金 航天创新基金资助项目
关键词 双星 组合导航 递推阻尼最小二乘法 惯性导航系统 Damping Inertial navigation systems Integrated control Kalman filtering Least squares approximations
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参考文献5

  • 1Kalman R E. A new approach to linear filtering and prediction problem[J]. Trans ASME, 1960, 82D(3): 35~45
  • 2Spripada N R, Fisher D G. Improved least square identification[J]. Internat J Control, 1987,46(6):1889~1913
  • 3Levenberg K. A method for the solution of certain non-linear problems in squares[J]. Quart Appl Math, 1994, 26(2):164~168
  • 4林茂琼,陈增强,袁著祉.递推阻尼最小二乘法[J].高校应用数学学报(A辑),2000,15A(1):113-118. 被引量:14
  • 5陈增强,林茂琼,袁著祉.递推阻尼最小二乘法的收敛性与稳定性[J].应用数学和力学,2000,21(2):209-214. 被引量:9

二级参考文献2

  • 1[2]Levenberg,K.,A method for the solution of certain non-linear problems in least squares, Quart.Appl.Math.,1944,2:164~168.
  • 2[1]Spripada,N.R., Fisher,D.G.,Improved least squares identification,Internat.J.Control,1987,46(6):1889~1913.

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