An investigation on cubature Kalman filter performance for orbit determination application

2019 ◽  
Vol 41 (10) ◽  
Author(s):  
Paula Cristiane Pinto Mesquita Pardal ◽  
Roberta Veloso Garcia ◽  
Helio Koiti Kuga ◽  
William Reis Silva
Keyword(s):  
Kalman Filter ◽  
Orbit Determination ◽  
Filter Performance ◽  
Cubature Kalman Filter

Fifth-degree strong tracking cubature Kalman filter for real-time orbit determination by multiple terminals

2017 ◽  
Vol 25 (8) ◽  
pp. 2195-2203
Author(s):  
李兆铭 LI Zhao-ming ◽  
杨文革 YANG Wen-ge ◽  
丁 丹 DING Dan ◽  
廖育荣 LIAO Yu-rong
Keyword(s):  
Kalman Filter ◽  
Real Time ◽  
Orbit Determination ◽  
Cubature Kalman Filter

scholarly journals A Novel Fifth-Degree Cubature Kalman Filter for Real-Time Orbit Determination by Radar

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Zhaoming Li ◽  
Wenge Yang ◽  
Dan Ding ◽  
Yurong Liao
Keyword(s):  
Kalman Filter ◽  
Real Time ◽  
Orbit Determination ◽  
Nonlinear Function ◽  
State Equation ◽  
Bayesian Filtering ◽  
Measurement Equation ◽  
J2 Perturbation ◽  
Cubature Kalman Filter ◽  
Weighted Integral

A novel fifth-degree cubature Kalman filter is proposed to improve the accuracy of real-time orbit determination by ground-based radar. A fully symmetric cubature rule, approaching the Gaussian weighted integral of a nonlinear function in general form, is introduced, and the specific points and weights are calculated by matching the monomials of degree not greater than five with the exact values. On the basis of the above rule, a novel fifth-degree cubature Kalman filter, which can achieve a higher accuracy than UKF and CKF, is derived under the Bayesian filtering framework. Then, to describe the nonlinear system more accurately, the orbital dynamics equation with J2 perturbation is used as the state equation, and the nonlinear relationship between the radar measurement elements and orbital states is built as the measurement equation. The simulation results show that, compared with the traditional third-degree algorithm, the proposed fifth-degree algorithm has a higher accuracy of orbit determination.

Square-Root Cubature Kalman Filter and Its Application to SLAM of an Mobile Robot

ROBOT ◽  
2013 ◽  
Vol 35 (2) ◽  
pp. 186 ◽  
Author(s):  
Yifei KANG ◽  
Yongduan SONG ◽  
Yu SONG ◽  
Deli YAN ◽  
Danyong LI
Keyword(s):  
Kalman Filter ◽  
Mobile Robot ◽  
Square Root ◽  
Cubature Kalman Filter

A Strong Tracking Cubature Kalman Filter for Nonlinear Estimation

2013 ◽  
Vol 313-314 ◽  
pp. 1115-1119
Author(s):  
Yong Qi Wang ◽  
Feng Yang ◽  
Yan Liang ◽  
Quan Pan
Keyword(s):  
Kalman Filter ◽  
State Estimation ◽  
Scaling Factor ◽  
Estimation Accuracy ◽  
Nonlinear State Estimation ◽  
Cubature Kalman Filter ◽  
Novel Method ◽  
Simulation Results ◽  
Tracking Filter ◽  
Nonlinear State

In this paper, a novel method based on cubature Kalman filter (CKF) and strong tracking filter (STF) has been proposed for nonlinear state estimation problem. The proposed method is named as strong tracking cubature Kalman filter (STCKF). In the STCKF, a scaling factor derived from STF is added and it can be tuned online to adjust the filtering gain accordingly. Simulation results indicate STCKF outperforms over EKF and CKF in state estimation accuracy.

Sign in / Sign up

Export Citation Format

Share Document