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

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

Journal of System Simulation ›› 2019, Vol. 31 ›› Issue (2): 332-339.doi: 10.16182/j.issn1004731x.joss.17-0096

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

Yang Shengqing^{1, 2}, Ye Wenyu³, He Yubin^{1, 2}, Wan Yabin^{1, 2}

1. Shanghai Institute of Spaceflight Control Technology, Shanghai 201109, China;
2. Shanghai Key Laboratory of Aerospace Intelligent Control Technology, Shanghai 201109, China;
3. Shanghai Academy of Spaceflight Technology, Shanghai 201109, China

Received:2017-02-28 Revised:2017-04-17 Online:2019-02-15 Published:2019-02-15

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.

Key words: formation keeping, artificial potential field, stability analysis, low-thrust satellite, leader-follower structure

CLC Number:

V412.4+1

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.

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

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