Resilient Prescribed-Time Event-Triggered Formation Control for Multiple Spacecraft: A Hierarchical Approach

This article investigates the resilient formation control problem for multiple spacecraft considering unknown communication link faults and system dynamics under the directed communication graph topology. Motivated by this challenge, a hierarchical prescribed-time spacecraft formation control scheme is formulated. With the aim of acquiring the reference command for each follower, an adaptive prescribed-time event-triggered observer is developed at the communication layer. Compared with the existing results, the proposed observer guarantees reliable information exchange among formation members under communication link faults, while effectively reducing the communication frequency. In the formation layer, the fuzzy logic system (FLS) based distributed prescribed time controller is developed utilizing the reconstructed reference command, in which the FLSs are employed to handle both the estimation errors and the unmodeled dynamics. By virtue of graph theory and Lyapunov stability theory, the practical prescribed time stability is rigorously demonstrated. The performance of the developed framework is ultimately verified through numerical simulations.