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,且能明显抑制参数爆发现象.Abstract: The filtering performance is unsatisfactory while INS/DS (Double-star) integrated navigation system is implemented using Kalman filtering technology, because the model error of double-star system is unknown and the stability is not good, either. 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 multi-input-multi-output system, i. e. recursive damped least square (RDLS) scheme, was developed, and be applied to INS/DS integrated navigation system. Simulation results show that the RDLS scheme has the same estimation precision as the recursive least square (RLS) scheme, and furthermore, the parameter burst-off is obviously restricted.
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[1] Kalman R E. A new approach to linear filtering and prediction problem[J]. Trans ASME, 1960, 82D(3):35~45 [2] Spripada N R, Fisher D G. Improved least square identification[J]. Internat J Control, 1987,46(6):1889~1913 [3] Levenberg 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,2000,15(1):113~118 Lin Maoqiong, Chen Zengqiang, Yuan Zhuzhi. Recursive damped least square algorithm[J]. Applied Mathematics A Journal of Chinese Universities, 2000,15(1):113~118(in Chinese) [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 Chen Zengqiang, Lin Maoqiong, Yuan Zhuzhi. Convergence and stability of recursive damped least square algorithm[J]. Applied Mathematics and Mechanics, 2000,21(2):209~214(in Chinese) [6] 袁 信,余济祥,陈 哲. 导航系统[M]. 北京:航空工业出版社,1993 Yuan Xin, Yu Jixiang, Chen Zhe. Navigation system[M]. Beijing:Aviation Industry Press, 1993(in Chinese) -
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