Fixed-time leader-following consensus of multi-agent systems with intermittent control

Fixed-time leader-following consensus of multi-agent systems with intermittent control
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DOI:
10.1016/j.amc.2022.127524
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发表时间:
2023-02
期刊:
Appl. Math. Comput.
影响因子:
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通讯作者:
Boyu Wang;Yijun Zhang;Miao Wei
Boyu Wang;Yijun Zhang;Miao Wei
中科院分区:
其他
文献类型:
--
作者:
Boyu Wang;Yijun Zhang;Miao Wei

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本文研究了非线性多智能体系统中基于约束的固定时间一致性问题。通过设计一种新的IBFT控制协议,跟随者可以在一个稳定时间内与领导者的状态达成一致。针对固定时间一致性问题,提出了一个新的微分不等式,为分析IBFT的稳定性提供了一种方法。给出了保证非线性MAS的FT一致性的一些性质。此外,我们将我们的结果扩展到代理的有向通信情况。通过间歇控制的有向拓扑的FT领导者跟随一致性问题也得到了解决。建立时间与协议参数有关,与初始状态无关。三个例子证明了建议的控制协议的可行性和有效性,包括两个应用实例,蔡氏电路系统,弹簧质量阻尼器(SMD)系统,和一个数值例子。
In this article, the intermittent-based fixed-time (IBFT) consensus matter is researched for nonlinear multi-agent systems (MASs). By designing a novel IBFT control protocol, the follower can achieve consensus with the leader’s state within a settling time. To deal with the fixed-time (FT) consensus matter, a new differential inequality is proposed, which provides a way to analyze the IBFT stability. Some properties are given to ensure the FT consensus of the nonlinear MASs. Furthermore, we extend our results to the directed communication situation of agents. The FT leader-following consensus problem with directed topology via intermittent control is solved as well. The settling time achieved is relative to the protocol parameters and independent of the initial states. Three examples demonstrate the feasibility and effectiveness of the suggested control protocols, including two application examples, the Chua’s circuit system, a spring-mass-damper (SMD) system, and one numerical example.