一种混合H_2/H_∞滤波的传递对准算法

Mixed H_2/H_∞ filtering algorithm for transfer alignment

针对机载武器捷联惯导系统快速精确传递对准问题,建立了速度加姿态匹配传递对准模型,将系统噪声、速度观测噪声建模为高斯白噪声,而将受机翼挠曲变形影响的姿态观测噪声建模为能量有限噪声。建立了观测噪声中既有高斯白噪声又有能量有限噪声的滤波性能优化指标,将滤波问题转化为最小最大问题,采用拉格朗日乘子法对最小最大问题进行了求解。设计了一种能处理观测噪声中既有高斯白噪声又有能量有限噪声的混合H2/H∞滤波算法。仿真结果表明,该算法稳定性强,滤波精度高,为机载武器提供了一种有效的快速精确传递对准滤波算法。

Focusing on the problem of rapid and accurate transfer alignment for airborne weapon＇s strap- down inertial navigation system, the transfer alignment of a velocity plus attitude match model is built. The sys- tem noise and velocity observation noise are treated as a Gaussian white noise. The attitude observation noise which is affected by wing flexure is regarded as an energy limited noise. The filtering performance optimization index is built. The filtering problem is transformed into a minimax problem. The minimax problem is solved by Lagrange multiplier method. A mixed H2/H∞ filtering algorithm is designed to deal with the observation noise which contains both Gaussian white noise and energy limited noise. Simulation results show that the filtering al- gorithm possesses strong stability and high accuracy, which provides an effective rapid and accurate transfer alignment filtering algorithm for airborne weapons.