"Collision-Free Control for Formation Flying of Multiple Satellites Using Artificial Potential Field (APF)"
This study presents satellite formation flying trajectory design and control based on virtual structure while avoiding obstacles using the artificial potential field (APF). To
derive virtual structure formation control laws based on the APF, a formation potential function is defined, which enables multiple satellites to maintain a polygonal or tetrahedral
formation. As an efficient method to circumvent the local minimum which often occurs in APF-based approach, a rotational potential function is newly derived in a local coordinate
frame in the APF framework. In order to design and control the formation flying trajectory considering collision avoidance, gradient-based control laws are derived from a total
potential function which is defined by combining the formation and the rotational potential function. The proposed control law goes through stability analysis by Lyapunov stability
theorem and Barbalat's lemma. By integrating the newly defined potential functions for collision avoidance and formation control, the control laws can be designed based on the APF
that guarantees the stability of the control system. Also, by defining the potential functions as above, the SMC is applicable to further improve the performance of the control laws.
Earth-Centered Inertia Coordinate
"4 CubeSats - Collision Avoidance around International Space Station"
The 4 cube satellites are controlled to move toward their goal points and get their goal attitudes while avoiding collision. Their minimum Euclidian distance is 1.99meters.
"Formation Flying of Multiple Satellites in Space"
This is an example in which 6 cubesats are flying in a regular hexagonal formation. The playback speed was hundreds of times faster.
This is an example in which 5 satellites are flying in a regular pentagonal formation. One satellite fails in the process of avoiding an obstacle, and the remaining 4 satellites are controlled to maintain the square formation. The playback speed was hundreds of times faster.