Event-Triggered Model Predictive Control of Spacecraft Formation

This paper proposes a model predictive control method based on a dynamic event-triggered strategy for high-precision formation control of spacecraft formations using continuous low thrust. An optimal formation control problem is formulated based on the J $_2$ linear time-varying relative dynamics using the Legendre pseudospectral method, and the model predictive controller is designed based on this optimization problem. Thereafter, a dynamic event-triggered strategy is introduced in the model predictive controller, in which the optimization problem is solved only when the event-triggered condition is violated. As a result, the computational pressure of the model predictive control algorithm is greatly reduced without increasing fuel consumption or degrading control accuracy. Meanwhile, the dynamic event-triggered condition allows for relatively even event-triggered intervals, which is more conducive to engineering applications. The feasibility and stability of this control strategy are demonstrated, and the simulation results under two different formation control scenarios show that the proposed controller achieves equivalent control performance to the conventional model predictive controller, and the computational pressure is greatly reduced by designing the dynamic event-triggered condition.