Open Access
ARTICLE
Observability Analysis in Parameters Estimation of an Uncooperative Space Target
Xianghao Hou1, *, Gang Qiao1
1 Acoustic Science and Technology Laboratory and College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin, 150001, China.
* Corresponding Author: Xianghao Hou. Email: .
(This article belongs to this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)
Computer Modeling in Engineering & Sciences 2020, 122(1), 175-205. https://doi.org/10.32604/cmes.2020.08452
Received 26 August 2019; Accepted 16 September 2019; Issue published 01 January 2020
Abstract
To study the parameter estimating effects of a free-floating tumbling space
target, the extended Kalman filter (EKF) scheme is utilized with different high-nonlinear
translational and rotational coupled kinematic & dynamic models on the LIDAR
measurements. Applying the aforementioned models and measurements results in the
situation where one single state can be estimated differently with varying accuracies since
the EKFs based on different models have different observabilities. In the proposed EKFs,
the traditional quaternions based kinematics and dynamics and the dual vector quaternions
(DVQ) based kinematics and dynamics are used for the modeling of the relative motions
between a chaser satellite and an uncooperative target. In the non-contact estimating
scenarios, only highly nonlinear relative attitude and range measurements: the grapple
fixture on the target measured from the chaser satellite via vision-based sensors, can be
used. By evaluating the results of the EKFs, the observability properties of each EKF are
studied analytically and numerically with the the Observability Gramian matrices (OG)
and the standard deviations for every estimated parameters. The analysis of observability
perform intensive studies and reveal the intrinsic factors that affect the accuracy and
stability of the parameters estimation of an uncooperative space target. Finally, the
analytical and numerical results show the optimal composition of the kinematic & dynamic
models and measurements.
Keywords
Cite This Article
Hou, X., Qiao, G. (2020). Observability Analysis in Parameters Estimation of an Uncooperative Space Target.
CMES-Computer Modeling in Engineering & Sciences, 122(1), 175–205.