Fixed-time consensus of nonlinear multi-agent systems via both event-triggered intermittent communication and sampled-data control

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-15 DOI:10.1016/j.cnsns.2024.108391

Haijuan Liu , Zhiyong Yu , Haijun Jiang

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Abstract

This paper investigates the fixed-time (FXT) consensus issue for nonlinear multi-agent systems (MASs) via both event-triggered intermittent communication and sampled-data control. Firstly, combining the event-triggered mechanism and the centralized sampled-data control method, a new type of the event-triggered intermittent control protocol is devised, in which the auxiliary function is introduced to determine the control intervals of the protocol. Secondly, the centralized strategy, which requires obtaining the global information, may be difficult to apply in large-scale networks. Therefore, we design an intermittent communication protocol with the distributed sampled-data control strategy, in which the event-triggering condition is given only by using local neighbors’ states. Furthermore, based on the Lyapunov stability theory, some sufficient conditions are obtained for achieving FXT consensus of MASs with the centralized and distributed sampled-data control strategies, and the Zeno phenomena are avoided. Finally, two examples are provided to verify the validity of the theoretical results.

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通过事件触发间歇通信和采样数据控制实现非线性多代理系统的固定时间共识

本文通过事件触发间歇通信和采样数据控制两种方法，研究了非线性多代理系统（MAS）的固定时间（FXT）共识问题。首先，结合事件触发机制和集中采样数据控制方法，设计了一种新型的事件触发间歇控制协议，其中引入了辅助函数来确定协议的控制间隔。其次，集中式策略需要获取全局信息，在大规模网络中可能难以应用。因此，我们设计了一种采用分布式采样数据控制策略的间歇通信协议，其中事件触发条件仅通过本地邻居的状态给出。此外，基于李亚普诺夫稳定性理论，我们得到了一些充分条件，以实现采用集中式和分布式采样数据控制策略的 MAS 的 FXT 共识，并避免了 Zeno 现象。最后，通过两个实例验证了理论结果的正确性。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.