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DD1滤波及其在非线性系统识别中的应用 被引量:5

DD1 filter and its application to the identification of nonlinear systems
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摘要 DD1滤波是一种基于多元插值计算,将函数按多项式近似展开的非线性滤波方法,相对于扩展卡尔曼滤波而言,它不需要对函数进行微分运算,使得计算大为简化,且具有与扩展卡尔曼滤波相当甚至优于它的估计性能,适用范围较广。对DD1滤波及其在非线性系统识别中的应用进行了分析,给出了计算实例,计算结果表明了该方法的有效性和实用性。 DD1 filter is based on polynomial approximations obtained with a multi-dimensional interpolation formula. In contrast to extended Kalman filter(EKF), the filter is simple to implement as no derivatives are needed and can provide a similar or even superior performance. Using DD1 filtering technique, a method of estimating the parameters of nonlinear systems on the basis of input-output data has been suggested in this paper. A numerical simulation show its suitability and effective for the system even in the case of very severe material nonlinearity.
作者 李书进 虞晖
出处 《信息技术》 2004年第1期11-14,50,共5页 Information Technology
关键词 系统识别 非线性滤波 DD1滤波 参数估计 system identification nonlinear filter DD1 filter parameter estimation
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参考文献4

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同被引文献15

  • 1王淑云,王元钦,陈谷仓,王天祥.基于kalman滤波的分布式航天器相对状态解算[J].系统仿真学报,2006,18(z2):923-925. 被引量:4
  • 2华钟祥.无人水下航行器与操雷[J].舰船科学技术,2004,26(6):64-66. 被引量:3
  • 3刘长久,杨华军,赖燔.空间交会激光雷达信息测量技术[J].激光技术,2006,30(6):608-610. 被引量:5
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  • 5何衍庆,姜洁,江艳君,等.MATLAB语言的应用[J].北京:化学工业出版社,2003.
  • 6Magnus Norgaard, Niels K Poulsen, Ole Ravn. Advances in Derivative- Free State Estimation for Nonlinear Systems [R] IMM-REP- 1998-15 Lyngby, Denmark. Department of Mathematical Modeling & Department, of Automation Technical University of Denmark, 2000, 4: 3-12.
  • 7Magnus Norgaard. State Estimation for Nonlinear Systems [R]. IMM- REP-2006-6 t, Lyngby, Denmark. Department of Mathematical Modeling & Department, of Automation Technical University of Denmark, 2000, 11: 3-10.
  • 8焦立诚.神经网络的实现与应用[M].西安:西安电子科技大学出版社.1996.
  • 9何衍庆,姜洁,江艳君,等.MATLAB语言的应用[M].北京:化学工业出版社,2003.
  • 10M Nφrgaard,N K Poulsen and O Ravn.New developments in state estimation for nonlinear systems[J].Automatica,,Nov.2000,36(11):1627-1638.

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