基于Volterra 级数并行递推AP 算法的陀螺漂移预测

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.

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

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.