FTCESO-based Predefined Time Control for Satellite Swarm Reconfiguration

Satellite swarm is a typical distributed system with significant advantages compared to traditional single satellite in terms of wide spatial distribution, low-cost maintenance, high reliability and superior flexibility. It is noted that the relative distance of the satellites keeps increasing with the influence of space environment perturbations, which makes it difficult to maintain the communication topology connection. This work focuses on the natural evolutionary properties of large-scale satellite swarm in the condition of space environment forces, where FTCESO-based predefined-time NFTSMC is developed to the swarm reconfiguration process. Firstly, the coordinate system of the swarm is selected to construct the relative motion dynamic equations with the analysis of swarm motion and the relative motion between the satellites respectively. Then, by use of extended state observer and predefined-time controller, the transformation from the initial to the desired configuration for the swarm can be achieved, where the feasibility of the controller is proved via Lyapunov stability theory. Finally, numerical simulations are performed to demonstrate the effectiveness and feasibility of the control strategy.