首页|基于正弦函数拟合的高动态捷联惯导姿态更新算法

基于正弦函数拟合的高动态捷联惯导姿态更新算法

Highly dynamic strapdown inertial navigation attitude updating algorithm based on sine function fitting

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为提高捷联惯导在高动态条件下的姿态解算精度,基于等效旋转矢量泰勒级数展开法,提出一种基于正弦函数拟合的高动态捷联惯导姿态更新算法.以正弦函数拟合载体运动角速度,考虑 Bortz方程高阶项的影响,对陀螺角增量表示的旋转矢量进行泰勒六阶展开,对比旋转矢量不同形式表达式求得误差补偿系数.在 MATLAB 平台上,以圆锥运动与大角速率转动并存环境作为仿真条件,对所提算法与传统算法进行对比仿真分析.仿真结果表明,在小半锥角低频圆锥运动伴随高速角速率转动情况下,所提算法性能较好,当半锥角为 0.5 °、角频率为 2.26π rad/s、常值角速率为 5.30 rad/s、姿态解算周期为 0.02 s时,所提正弦函数拟合三子样旋转矢量算法与传统扩展形式频率级数/显示频率三子样圆锥算法相比误差降低了 2个数量级.
In order to improve the attitude solution accuracy of the strapdown inertial navigation system under high dynamic conditions,a high dynamic attitude updating algorithm based on sine function fitting is proposed according to the Taylor series expansion method of the equivalent rotation vector.The angular velocity of the carrier motion is fitted with the sine function.Considering the effect of the higher order terms of the Bortz equation,the rotation vector represented by the gyroscopic angular increments is expanded by Taylor's sixth order,and the error compensation coefficient is obtained by comparing different expressions of the rotation vector.Based on the MATLAB platform,the proposed algorithm is simulated and analyzed in comparison with the conventional algorithm by using the environment of cone motion and large angular rate rotation co-existed as the simulation conditions.The simulation results show that the performance of the proposed algorithm is better in the case of low-frequency cone motion with small half-cone angle accompanied by high-speed angular rate rotation,where the error of the three subsample algorithm based on fitting of sine function proposed in this paper is reduced by 2 orders of magnitude compared with the traditional three subsample cone algorithm based on extended form frequency series or three subsample cone algorithm based on extended form explicit frequency at half-cone angle 0.5 °,angular frequency 2.26π rad/s,constant angular rate 5.30 rad/s and attitude solution period 0.02 s.

strapdown attitude algorithmhigh dynamicsine function fittingequivalent rotation vector

路永乐、杨杰、孙旗、罗毅、肖轩、刘宇

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重庆邮电大学 智能传感技术与微系统重庆市高校工程研究中心,重庆 400065

捷联姿态算法 高动态 正弦函数拟合 等效旋转矢量

重庆市自然科学基金面上项目重庆市教委科学技术研究项目

cstc2021jcyjmsxmX0566KJZD-M202000602

2024

中国惯性技术学报
中国惯性技术学会

中国惯性技术学报

CSTPCD北大核心
影响因子:0.792
ISSN:1005-6734
年,卷(期):2024.32(1)
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