The finite-time output consensus (FTOC) issue of heterogeneous fractional-order multiagent systems (HFO-MASs) is investigated in this article. First, a new principle of finite-time convergence for absolutely continuous functions is developed if a fractional derivative inequality is satisfied. Next, in order to remove the assumption that the leader’s system matrix is known to all agents in previous studies, a distributed adaptive finite-time observer is designed, which can estimate not only the leader’s state but also the leader’s system matrix. Then, a novel finite-time event-triggered compensator with intermittent communication is constructed to estimate the leader’s state by introducing a dynamic threshold for a novel triggering function. In this case, the high frequency triggering is restrained and the triggering number is significantly reduced. The Zeno behavior does not exist by choosing parameters appropriately. In addition, two finite-time control strategies are constructed based on the above distributed observer and event-triggered compensator, respectively, to achieve output consensus in finite time. The feasibility of the proposed method is ensured by the comprehensive theoretical demonstration of the finite-time consensus stability and the analysis of the Zeno behavior. Finally, the examples are given to demonstrate the conclusion.

中文翻译：

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具有间歇通信的异构分数阶多智能体系统的有限时间事件触发输出一致性

本文研究了异构分数阶多智能体系统 (HFO-MAS) 的有限时间输出一致性 (FTOC) 问题。首先，如果满足分数阶导数不等式，则开发绝对连续函数的有限时间收敛的新原理。接下来，为了消除先前研究中领导者的系统矩阵为所有代理已知的假设，设计了分布式自适应有限时间观察器，它不仅可以估计领导者的状态，还可以估计领导者的系统矩阵。然后，构建了一种具有间歇通信的新型有限时间事件触发补偿器，通过为新型触发函数引入动态阈值来估计领导者的状态。在这种情况下，高频触发受到抑制，触发次数显着减少。通过适当地选择参数，芝诺行为不存在。此外，分别基于上述分布式观察器和事件触发补偿器构建了两种有限时间控制策略，以实现有限时间内的输出一致性。通过有限时间共识稳定性的综合理论论证和芝诺行为的分析，确保了所提方法的可行性。最后给出例子来论证结论。通过有限时间共识稳定性的综合理论论证和芝诺行为的分析，确保了所提方法的可行性。最后给出例子来论证结论。通过有限时间共识稳定性的综合理论论证和芝诺行为的分析，确保了所提方法的可行性。最后给出例子来论证结论。