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非线性系统确定采样型滤波算法综述
引用本文:王小旭,潘 泉,黄 鹤,高 昂.非线性系统确定采样型滤波算法综述[J].控制与决策,2012,27(6):801-812.
作者姓名:王小旭  潘 泉  黄 鹤  高 昂
作者单位:西北工业大学自动化学院,西安,710072
基金项目:国家自然科学基金项目,中国博士后科学基金项目
摘    要:确定采样型滤波包括Unscented卡尔曼滤波(UKF),中心差分卡尔曼滤波(CDKF)以及容积卡尔曼滤波(CKF),是一类基于确定解析采样近似方法的非线性次优高斯滤波算法,具有估计精度高、实现简单等优点,已得到国内外学者的广泛关注.在阐述确定采样型滤波基本原理的基础上,详细总结了近年来确定采样型滤波的研究现状,包括各种改进算法和在不同领域的应用情况;然后重点分析了确定采样型滤波所存在的问题;最后展望了其未来发展趋势和研究方向.

关 键 词:非线性  确定采样型滤波  最优框架  Unscented变换  多项式插值  球面径向规则
收稿时间:2011/8/23 0:00:00
修稿时间:2011/11/2 0:00:00

Overview of deterministic sampling filtering algorithms for nonlinear
system
WANG Xiao-xu,PAN Quan,HUANG He,GAO Ang.Overview of deterministic sampling filtering algorithms for nonlinear
system[J].Control and Decision,2012,27(6):801-812.
Authors:WANG Xiao-xu  PAN Quan  HUANG He  GAO Ang
Affiliation:(School of Automation,Northwestern Polytechnical University,Xi’an 710072,China)
Abstract:Deterministic sampling filters,including Unscented Kalman filter(UKF),central difference Kalman filter(CDKF) and cubature Kalman filter(CKF),are a class of nonlinear suboptimal Gaussian filtering algorithms based on deterministic and analytical sampling approximation,which have advantages of high precision and simple implementation,and have been received wide attention from scholars.The basic principle of deterministic sampling filter is described,and its research situation is summarized in detail,including various improved methods and applications in different areas.Then the problems of deterministic sampling filter at present are analyzed and presented.Finally,its development tendency and research orientation are prospected.
Keywords:nonlinearity  deterministic sampling filter  optimal framework  Unscented transformation  polynomial interpolation  spherical-radial rule
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