Controlling Multi-Spacecraft Formations Under Eavesdropping Constraints: A ϵ-Nash Equilibrium Approach

This paper addresses the formation control problem for multi-spacecraft systems (MSS) in the presence of eavesdroppers. The spacecrafts in the system transmit information through a distributed communication topology, and the eavesdropping rate is modeled as distance- dependence. To mitigate the impact of eavesdropping, we design a control strategy based on ϵ-Nash equilibrium and the backstepping method, ensuring the spacecrafts achieve the desired formation while minimizing information leakage. Finally, we prove the stability of the proposed algorithm and the boundedness of The effectiveness of the proposed approach is demonstrated through simulations with satellite clusters and experimental validation using wheeled robots.