This paper presents an event-triggered model predictive control scheme
for distributed linear systems with additional disturbances. The
subsystem states are coupled with each other and affected by unknown
bounded disturbances. The communication among subsystems is assumed to
be prompt and free from any information loss. A novel distributed
event-triggered strategy is developed to balance communication resources
and system control performance during asynchronous communication. This
mechanism is meticulously designed to ensure optimal system performance
while utilizing communication resources. The nominal system is
introduced to construct a local optimization problem and a triggering
mechanism considering the coupling influence is developed. To counter
the additional disturbances, the dual-mode control approach has been
implemented along with developing a robust terminal set. The terminal
set is purposefully designed to maintain system stability in the
presence of additive disturbances, achieved through a meticulously
designed triggering mechanism. Then it is imperative to discuss the
stability of the resulting closed-loop system and provide a proof
process of the feasibility of the iterative optimization. Finally, the
effectiveness of the proposed algorithm is validated through simulation
results, thereby confirming its efficacy.