Adaptive coordination control of satellites within formation considering collision avoidance

The adaptive coordination control based on potential function method associated with collision avoidance is investigated for formation flying satellites with model uncertainty. The idea of potential function method is designing the bigger value of potential function in the collision area. The potential function of the system declines with the designed control law, thus the mission of formation flying with collision avoidance can be satisfied. Firstly, an adaptive coordinated controller is proposed by introducing a collision avoidance potential function in the absence of external reference trajectories, so that formation flying satellites can achieve velocity consensus and collision avoidance eventually. Then, taking into consideration an external reference trajectory, a new adaptive coordinated controller is designed based on a new potential function, and the objective of collision avoidance, velocity consensus and satellites tracking the reference trajectory is realized simultaneously. For the two presented control approaches, the stability of the closed loop system is both analyzed by using Lyapunov stability theory. Simulation results demonstrate the effectiveness of the designed control methods.