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. 2020 Jan-Mar;103(1):36850419884432.
doi: 10.1177/0036850419884432. Epub 2019 Oct 30.

Optimal cooperative control for formation flying spacecraft with collision avoidance

Xiaohan Lin  1 , Xiaoping Shi  1 , Shilun Li  2
Affiliations

Optimal cooperative control for formation flying spacecraft with collision avoidance

Xiaohan Lin et al. Sci Prog. 2020 Jan-Mar.

Abstract

This article investigates optimal cooperative control algorithms for spacecraft formation flying system that can guarantee collision avoidance between spacecrafts. By selecting potential functions to avoid collisions and constructing index cost functions to describe optimal control, the optimal control algorithms based on the state-dependent Riccati equations, which only require local information vectors, are presented that can guarantee the formation spacecraft to track the reference trajectory without collisions and achieve optimal performance states. Finally, the corresponding proof analysis by Lyapunov stability theory shows that the closed-loop system for spacecraft formation flying is asymptotically stable. The simulation results demonstrate the effectiveness of the proposed optimal cooperative control algorithms with desired control objectives, including trajectory tracking, formation optimality, and collision avoidance.

Keywords: Spacecraft formation flying; collision avoidance; cooperative control; optimal control; optimal cooperative control.

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Conflict of interest statement

The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

Figures

Figure 1.
Figure 1.
Spacecraft formation flying system relative motion model.
Figure 2.
Figure 2.
The spacecraft formation flying system path following.
Figure 3.
Figure 3.
Spacecraft formation flying with collision avoidance.
Figure 4.
Figure 4.
The relative position trajectory of formation spacecraft.
Figure 5.
Figure 5.
The velocity tracking error of formation spacecraft.
Figure 6.
Figure 6.
The relative position of formation spacecraft.
Figure 7.
Figure 7.
The optimal control input of formation spacecraft.
See this image and copyright information in PMC

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