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一类线性系统卡尔曼滤波器自适应算法
引用本文:焦成柱,刘国庆,章俊.一类线性系统卡尔曼滤波器自适应算法[J].南京工业大学学报(自然科学版),2007,29(4):30-33.
作者姓名:焦成柱  刘国庆  章俊
作者单位:1. 南京工业大学,信息科学与工程学院,江苏,南京,210009
2. 南京工业大学,理学院,江苏,南京,210009
基金项目:江苏省高校自然科学基金
摘    要:为了解决实际线性系统中系统噪声方差和观测噪声方差未知的问题,提出了一种新的卡尔曼滤波自适应算法,利用新息序列的方差, 可以在系统的自身计算过程中逐步估计并校正系统噪声方差和观测噪声方差.系统模拟显示,估计的系统噪声方差和观测噪声方差均收敛于实际的系统噪声方差和观测噪声方差,而且收敛速度比传统卡尔曼滤波要快.

关 键 词:卡尔曼滤波  白噪声  自适应  线性系统  卡尔曼滤波器  适应算法  linear  system  Kalman  filter  type  algorithm  速度比  收敛  模拟显示  校正系统  估计  计算过程  噪声方差  新息序列  利用  问题  观测
文章编号:1671-7627(2007)04-0030-04
修稿时间:2007-03-07

Research on the self-adaptive algorithm of the first type Kalman filter in linear system
JIAO Cheng-zhu,LIU Guo-qing,ZHANG Jun.Research on the self-adaptive algorithm of the first type Kalman filter in linear system[J].Journal of Nanjing University of Technology,2007,29(4):30-33.
Authors:JIAO Cheng-zhu  LIU Guo-qing  ZHANG Jun
Institution:1. College of Information Science and Engineering, Nanjing University of Technology, Nanjing 210009, China; 2. College of Sciences, Nanjing University of Technology, Nanjing 210009, China
Abstract:In order to solve unknown system noise variance and observation noise variance in practical linear system, a new self-adaptive algorithm for Kalman filter was presented,it made use of the variance of new sequences, which could estimate and correct the system noise variance and the observation noise variance gradually in calculation process. The computer simulation shows that the estimated variance of the system noise and estimated variance of the observation noise converge to the real values more quickly than the traditional one.
Keywords:Kalman filter  white noise  self-adaptive
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