基于Volterra级数并行递推AP算法的陀螺漂移预测  

Gyro drift prediction based on parallel recursive AP algorithm of volterra series

作　　者：孔祥玉[1] 胡昌华[1] 洪贝[1] 胡友涛[1] 陈亮[1] 

机构地区：[1]第二炮兵工程学院302教研室,西安710025

出　　处：《控制与决策》2010年第12期1917-1920,共4页Control and Decision

基　　金：国家自然科学基金项目(60736026);中国博士后基金项目(20080441273);中国博士后基金(特别资助)项目(200801480)

摘　　要：为了预测某导弹陀螺漂移趋势,以该陀螺漂移角速度时间序列为对象,建立基于Volterra级数的非线性时间预测模型,提出了一种基于Volterra级数的并行递推放射投影AP自适应算法.以系统Volterra核向量增量的模与某约束总和为损失函数,按照最陡下降原理导出各阶Volterra核更新公式;再利用矩阵求逆引理递推求取各阶Volterra子系统自相关逆矩阵导出算法.某导弹实测的陀螺漂移数据预测应用研究表明,该算法运算速度快、预测精度高.For forecasting the gyro drift tendency of a missle,a prediction model based on Volterra series is established by taking the time series of gyro＇s drift as study object,and a parallel recursive affine projection（AP） algorithm for nonlinear system based on Volterra series is presented in this paper.Taking the minimum norm of the Volterra kernel vector increments and certain constraints as the overall cost function,by the steepest descent principle,the adaptive updating formula of the Volterra kernel vector of each order is derived,and the matrix inverse lemma is applied to recursively estimate the inverse of autocorrelation matrix of Volterra subsystem of each order,thus the algorithm is derived.The algorithm is applied to prediction research on real gyro drift data of certain missle,and experiment results show that the algorithm has fast operation speed and high prediction precision.

关 键 词：非线性系统 VOLTERRA级数 自适应辨识 陀螺漂移预测 AP算法 

分 类 号：TP277[自动化与计算机技术—检测技术与自动化装置]