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• Studied the reachable set problem of observer-based multi-agents. • The observer/controller is updated through the sampling/event-triggered mechanism. • An observer is constructed through the utilization of the cubic spline interpolation function. This paper investigates the problem of reachable set synthesis for a class of multi-agent systems. Considering the limited resources for communication between agents, a dual-end sampling mechanism is introduced to reduce the communication load. For the sampled signals at the output end, the cubic spline interpolation method is used to construct a fitting function to approximate the dynamic output signals, and a state observer is constructed according to the fitting function to estimate the system state of each agent. At the input side, the sampling distributed event triggering mechanism is used to design an event-based distributed observation control strategy to ensure that the tracking error is bounded. Finally, the results of the simulations substantiate the validity of the conclusions.
Liu et al. (Thu,) studied this question.