Satellite Formation Keeping and Its Stability Analysis Based on Artificial Potential Field Method

Authors

Shengqing Yang, 1. Shanghai Institute of Spaceflight Control Technology, Shanghai 201109, China;;2. Shanghai Key Laboratory of Aerospace Intelligent Control Technology, Shanghai 201109, China;;
Wenyu Ye, 3. Shanghai Academy of Spaceflight Technology, Shanghai 201109, China;
Yubin He, 1. Shanghai Institute of Spaceflight Control Technology, Shanghai 201109, China;;2. Shanghai Key Laboratory of Aerospace Intelligent Control Technology, Shanghai 201109, China;;
Yabin Wan, 1. Shanghai Institute of Spaceflight Control Technology, Shanghai 201109, China;;2. Shanghai Key Laboratory of Aerospace Intelligent Control Technology, Shanghai 201109, China;;

Abstract

Abstract: In this paper, a control method of satellite formation keeping is investigated based on artificial potential field. Since the N-body problem doesn’t have analytical solutions, a leader-follower formation is proposed as a restricted N-body problem. The stable structure has infinite possible pairs of coordinates in the inertial frame, therefore the Jacobian matrix of the corresponding error dynamic system at the equilibrium point is unsolvable. By introducing a transformation of coordinates from inertial frame to a specific reference frame, the stability analysis of error dynamic system is only related to the structure of formation. By the reduction of error dynamic system in the reference frame and the solving of eigenvalues of Jacobian matrix at equilibrium point, the stability analysis of the novel control method is given.

Recommended Citation

Yang, Shengqing; Ye, Wenyu; He, Yubin; and Wan, Yabin (2019) "Satellite Formation Keeping and Its Stability Analysis Based on Artificial Potential Field Method," Journal of System Simulation: Vol. 31: Iss. 2, Article 20.
DOI: 10.16182/j.issn1004731x.joss.17-0096
Available at: https://dc-china-simulation.researchcommons.org/journal/vol31/iss2/20

First Page

332

Revised Date

2017-04-17

DOI Link

https://doi.org/10.16182/j.issn1004731x.joss.17-0096

Last Page

339

CLC

V412.4+1

Recommended Citation

Yang Shengqing, Ye Wenyu, He Yubin, Wan Yabin. Satellite Formation Keeping and Its Stability Analysis Based on Artificial Potential Field Method[J]. Journal of System Simulation, 2019, 31(2): 332-339.

DOI

10.16182/j.issn1004731x.joss.17-0096