Dynamic event-triggered prescribed-time optimized backstepping attitude consensus tracking control for multiple spacecrafts

This paper aims to address the event-triggered optimized attitude consensus tracking control problem for multiple spacecraft with prescribed setting time. To ensure the convergence of the consensus tracking error within a prescribed time, a transformation function is constructed by using a time-varying constraining function related to the prescribed time and accuracy. To optimize control performance, a class of Hamilton-Jacobi-Bellman (HJB) equations are constructed to derive a reinforcement learning (RL)-based optimal control law, where the fuzzy logic system (FLS) is employed to approximate the optimal solution within the actor-critic architecture. In addition, the dynamic event-triggered mechanism is adopted for the controller to decrease communication resource utilization. Based on the Lyapunov stability analysis, the consensus tracking error is proved to be semi-globally uniformly ultimately bounded (SGUUB) with adjustable error bounds. Finally, a simulation example is given to demonstrate the effectiveness of the proposed method.