逼近積分點(diǎn)數(shù)下限的五階容積卡爾曼濾波定軌算法
發(fā)布時(shí)間：2018-12-16 10:02
【摘要】：為了在保持濾波定軌精度不變的條件下提高定軌計(jì)算的實(shí)時(shí)性,提出一種新的逼近積分點(diǎn)個(gè)數(shù)下限的五階容積卡爾曼濾波定軌算法.首先,采用一種數(shù)值容積準(zhǔn)則對(duì)非線性函數(shù)的高斯加權(quán)積分進(jìn)行近似,該準(zhǔn)則所需的積分點(diǎn)個(gè)數(shù)僅比五階代數(shù)精度容積準(zhǔn)則積分點(diǎn)個(gè)數(shù)的理論下限多一個(gè)積分點(diǎn),并在貝葉斯濾波算法框架下推導(dǎo)出本文算法的更新步驟.然后,給出實(shí)時(shí)定軌所需的狀態(tài)方程和量測(cè)方程,在狀態(tài)方程中考慮了J2項(xiàng)引力攝動(dòng)和大氣阻力攝動(dòng),在量測(cè)方程中利用坐標(biāo)系轉(zhuǎn)換推導(dǎo)了軌道狀態(tài)與測(cè)量元素之間的非線性關(guān)系.仿真實(shí)驗(yàn)結(jié)果表明,本文所提算法在定軌精度方面與已有的五階濾波算法相當(dāng),但所需的積分點(diǎn)個(gè)數(shù)最少,計(jì)算實(shí)時(shí)性最高,從而驗(yàn)證了本文算法的有效性.
[Abstract]:In order to improve the real-time performance of orbit determination under the condition of keeping the accuracy of orbit determination unchanged, a new fifth order volumetric Kalman filter orbit determination algorithm is proposed, which approximates the lower limit of the number of integral points. Firstly, a numerical volumetric criterion is used to approximate the Gao Si weighted integral of nonlinear function. The number of integral points required by this criterion is only one more than the theoretical lower limit of the number of integral points of the fifth order algebraic volumetric criterion. The update steps of this algorithm are deduced under the framework of Bayesian filtering algorithm. Then, the state equation and measurement equation for real time orbit determination are given. The J 2 term gravitational perturbation and atmospheric drag perturbation are considered in the state equation. The nonlinear relationship between the orbit state and the measuring elements is derived by means of coordinate system transformation in the measurement equation. The simulation results show that the proposed algorithm is equivalent to the existing five-order filtering algorithm in orbit determination accuracy, but the number of integral points is the least, and the real time calculation is the highest, which verifies the effectiveness of the proposed algorithm.
【作者單位】： 裝備學(xué)院研究生院;裝備學(xué)院光電裝備系;
【基金】：國(guó)家高技術(shù)研究發(fā)展計(jì)劃(批準(zhǔn)號(hào):2015AA7026085)資助的課題~~
【分類號(hào)】：TN713
，
本文編號(hào)：2382163
[Abstract]:In order to improve the real-time performance of orbit determination under the condition of keeping the accuracy of orbit determination unchanged, a new fifth order volumetric Kalman filter orbit determination algorithm is proposed, which approximates the lower limit of the number of integral points. Firstly, a numerical volumetric criterion is used to approximate the Gao Si weighted integral of nonlinear function. The number of integral points required by this criterion is only one more than the theoretical lower limit of the number of integral points of the fifth order algebraic volumetric criterion. The update steps of this algorithm are deduced under the framework of Bayesian filtering algorithm. Then, the state equation and measurement equation for real time orbit determination are given. The J 2 term gravitational perturbation and atmospheric drag perturbation are considered in the state equation. The nonlinear relationship between the orbit state and the measuring elements is derived by means of coordinate system transformation in the measurement equation. The simulation results show that the proposed algorithm is equivalent to the existing five-order filtering algorithm in orbit determination accuracy, but the number of integral points is the least, and the real time calculation is the highest, which verifies the effectiveness of the proposed algorithm.
【作者單位】： 裝備學(xué)院研究生院;裝備學(xué)院光電裝備系;
【基金】：國(guó)家高技術(shù)研究發(fā)展計(jì)劃(批準(zhǔn)號(hào):2015AA7026085)資助的課題~~
【分類號(hào)】：TN713
，
本文編號(hào)：2382163
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