Periodic event-triggered formation control of multi-agent systems via complex Laplacian

IF 1.6 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

IMA Journal of Mathematical Control and Information Pub Date : 2024-01-29 DOI:10.1093/imamci/dnad035

Xiaoya Guo, Xia Chen, Lu Fu

引用次数: 0

Abstract

The event-triggered formation control of first-order continuous multi-agent systems is studied based on complex Laplacian in this paper. Periodic event-triggered control is designed in which continuous communication between agents is not required. For each agent, two different triggering conditions are discussed. The first one relies on the inter-neighboring communication at each verification time, while the second one only need the broadcast states of neighbors at their triggering instants. According to the Lyapunov stability theory and algebraic graph theory, consensus conditions on the verification period and parameters in the triggering conditions are also provided. It is demonstrated that the maximum verification period under two triggering conditions are two times larger than the existing results. And a certain amount of communication between neighbors can be further reduced in the second one. Finally, the simulation examples prove the validity of the results proposed.

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通过复杂拉普拉卡方实现多代理系统的周期性事件触发编队控制

本文基于复拉普拉卡矩研究了一阶连续多代理系统的事件触发编队控制。本文设计了周期性事件触发控制，其中不要求代理之间进行连续通信。对于每个代理，本文讨论了两种不同的触发条件。第一种触发条件依赖于每次验证时间的邻域间通信，而第二种触发条件只需要邻域在触发时刻的广播状态。根据李雅普诺夫稳定性理论和代数图论，还提供了验证周期的共识条件和触发条件中的参数。结果表明，两个触发条件下的最大验证周期是现有结果的两倍。而且在第二种情况下，邻居之间的通信量可以进一步减少。最后，仿真实例证明了所提结果的正确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IMA Journal of Mathematical Control and Information 工程技术-应用数学

CiteScore

3.30

自引率

6.70%

发文量

审稿时长

>12 weeks

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