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未知参数高阶线性系统基于特征模型的卡尔曼滤波
引用本文:龚宇莲,吴宏鑫. 未知参数高阶线性系统基于特征模型的卡尔曼滤波[J]. 空间控制技术与应用, 2010, 36(6): 16-21
作者姓名:龚宇莲  吴宏鑫
作者单位:[1]北京控制工程研究所,北京100190 [2]空间智能控制技术重点实验室,北京100190
基金项目:国家自然科学基金重点项目,国家自然科学基金
摘    要:针对一类有量测噪声的未知参数高阶线性系统设计了基于特征模型的卡尔曼滤波器,改进了由于传统卡尔曼滤波器在未知系统状态转移阵时应用的难题.在对高阶线性系统的自适应控制中,利用建立系统的特征模型构造状态转移阵,结合卡尔曼滤波的思想对系统输出进行滤波,使系统输出以及控制量的性能得到极大的改善.通过对一个未知参数的高阶线性系统仿真实验验证了此方法的有效性.

关 键 词:特征建模  黄金分割  自适应控制  卡尔曼滤波  高阶线性系统

Characteristic Model-Based Kalman Filter for the High Dimension Linear Systems with Unknown Parameters
GONG Yulian,WU Hongxin. Characteristic Model-Based Kalman Filter for the High Dimension Linear Systems with Unknown Parameters[J]. Aerospace Contrd and Application, 2010, 36(6): 16-21
Authors:GONG Yulian  WU Hongxin
Affiliation:1.Beijing Institute of Control Engineering,Beijing 100190,China; 2.Science and Technology on Space Intelligent Control Laboratory,Beijing 100190,China)
Abstract:In this paper,a characteristic model based Kalman filter(CKF) is designed for high dimension linear systems with unknown parameters.The proposed approach overcomes difficuties in the application of traditional Kalman filters in unknown parameter systems.By building the characteristic model of the high dimension system,a state transfer matrix is constituted,and the CKF is establishedin combination with the algorithm of Kalman Filter.The CKF is used to filter the output signal with measurement noise,the performance of the adaptive control of high dimension systems is improved,and simulation results prove the capability of this method.
Keywords:characteristic model  gold section  adaptive control  Kalman filter  high dimension linear system
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