Event-triggered distributed receding horizon control of dynamically coupled linear systems

In this paper, an event-triggered distributed receding horizon control algorithm is proposed for dynamically coupled continuous-time linear systems. First, an event-triggered rule that is realized by monitoring the error between subsystem state and its optimal prediction is designed, and an extra constraint that restricts the discrepancy between each subsystem's assumed and predicted state and input trajectories is introduced to local optimization problems. Combined with the triggering rule and the extra constraint, the mutual disturbances caused by dynamical coupling are bounded and the inter-event time is lower bounded to avoid the Zeno behavior. Based on this, the algorithm feasibility and closed-loop stability are rigorously studied, and sufficient conditions for guaranteeing them are established. Finally, simulation studies are conducted to verify the theoretical results.