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考虑陀螺频率特性的角速率输入圆锥补偿算法
引用本文:陈雨,赵剡,李群生,吴辉.考虑陀螺频率特性的角速率输入圆锥补偿算法[J].北京航空航天大学学报,2013,39(9):1228-1232.
作者姓名:陈雨  赵剡  李群生  吴辉
作者单位:北京航空航天大学仪器科学与光电工程学院,北京,100191;北京航空航天大学仪器科学与光电工程学院,北京,100191;北京航空航天大学仪器科学与光电工程学院,北京,100191;北京航空航天大学仪器科学与光电工程学院,北京,100191
基金项目:航空科学基金资助项目(20100818018)
摘    要:针对陀螺直接输出角速率且通带内增益不一致(频率特性),而传统角速率输入圆锥补偿算法要求输入理想的角速率,提出了一种考虑陀螺频率特性的角速率输入圆锥补偿算法.推导了圆锥运动情况下姿态更新周期内理想旋转矢量增量和实际姿态算法计算的旋转矢量增量,以最小化理想旋转矢量增量和计算旋转矢量增量之间非周期项的差异为计算圆锥误差补偿系数的准则,最优补偿系数可以看成是采用理想角速率输入的圆锥补偿算法系数与考虑频率特性时对理想圆锥补偿算法系数修正的和.得到了公式化求解考虑频率特性的各子样算法最优系数的方法.仿真结果表明,所提出的算法比传统角速率输入圆锥补偿算法在精度上有明显提高.

关 键 词:捷联惯导系统  姿态算法  旋转矢量  圆锥误差
收稿时间:2012-11-14

Coning compensation algorithm with angular rate considering gyroscope frequency characteristics
Chen Yu;Zhao Yan;Li Qunsheng;Wu Hui.Coning compensation algorithm with angular rate considering gyroscope frequency characteristics[J].Journal of Beijing University of Aeronautics and Astronautics,2013,39(9):1228-1232.
Authors:Chen Yu;Zhao Yan;Li Qunsheng;Wu Hui
Institution:School of Instrumentation Science and Opto-electronics Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Abstract:Focusing on the gyroscopes- output is angular rate and has a certain frequency characteristics, a coning compensation algorithm considering the gyroscopes- frequency characteristics with angular rate as input was presented. The ideal and computed rotation vector increment was derived in the attitude update interval under coning motion. The coning compensation algorithm coefficients were computed to minimize the nonperiodic term difference between the ideal and computed rotation vector increment. The optimal coefficients were defined to be the sum of the values that exist for perfect angular rate input and an adjustment that accounts for the frequency characteristics. The formulized approach for the optimal coefficients with arbitrary samples considering frequency characteristics was obtained. Simulation results show that the accuracy of the algorithm can be improved effectively as compared with the conventional ones.
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