Application of Nonlinear H∞ Filtering Algorithm for Initial Alignment of the Missile-borne SINS

Zhiqiang Wu, Yu Wang, Xinhua Zhu
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引用次数: 5

Abstract

The H∞ filtering and Unscented Transformation(UT) algorithm are introduced to deal with the initial alignment error of missile-borne Strapdown Inertial Navigation System(SINS), which is caused by the nonlinear error model and the uncertainty of the disturbance noise. Firstly, on the basis of additional quaternion error, the error model of SINS is built up. Secondly, the nonlinear H∞ filter based on UT and H∞ filtering is constructed, which is with nonlinear approximation ability and strong robustness. Finally, simulations are made compared with UKF and the nonlinear H∞ filter under the conditions of disturbance model of strong wind. The result shows that nonlinear H∞ filter is more stable and faster than UKF under the disturbance conditions of strong wind and can effectively improve the accuracy of initial alignment and robustness of the algorithm.

非线性H∞滤波算法在弹载捷联系统初始对准中的应用
针对星载捷联惯导系统的非线性误差模型和干扰噪声的不确定性所引起的初始对准误差,提出了H∞滤波和Unscented变换(UT)算法。首先,基于附加四元数误差,建立了捷联惯导系统的误差模型;其次,构造了基于UT和H∞滤波的非线性H∞滤波器,该滤波器具有非线性逼近能力和较强的鲁棒性;最后,对UKF和非线性H∞滤波器在强风扰动模型下进行了仿真比较。结果表明,在强风扰动条件下,非线性H∞滤波器比UKF更稳定、更快,能有效提高初始对准精度和算法的鲁棒性。
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