具有扰动的非线性多智能体系统一致性的事件触发预定义时间滑模控制

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-22 DOI:10.1016/j.cnsns.2025.109331

Shunchao Zhang , Dacai Liu , Yongwei Zhang , Changrun Chen

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引用次数: 0

摘要

针对具有扰动的非线性多智能体系统，提出了一种事件触发的预定义时间滑模控制方法。首先，通过构造与事件触发误差相关的严格递增函数，提出了一种改进的非线性系统事件触发预定义时间SMC （PTSMC）方法。分析表明，传统的固定阈值是改进后的事件触发阈值的特例，改进后的阈值可以进一步减少事件数量，从而节省计算和通信资源。然后，通过设计一组分布式事件触发阈值和预定义时间滑模变量，将所提出的事件触发PTSMC方法扩展到非线性多智能体系统的一致性问题。基于Lyapunov稳定性定理，证明了闭环系统具有预定义时间稳定性。最后，通过两个算例验证了所提控制方法的有效性和优越性。

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Event-triggered predefined-time sliding mode control for consensus of nonlinear multi-agent systems with disturbances

This paper proposes an event-triggered predefined-time sliding mode control (SMC) method to achieve consensus of nonlinear multi-agent systems with disturbances. To begin with, an improved event-triggered predefined-time SMC (PTSMC) method is developed for nonlinear systems by constructing a strictly increasing function related to the event-triggering error in the constant threshold. The analysis demonstrates that the traditional fixed threshold is a special case of the improved event-triggered threshold, and the improvement can further reduce the number of events, thereby saving computational and communication resources. Then, the developed event-triggered PTSMC method is extended to implement the consensus of nonlinear multi-agent systems by designing a set of distributed event-triggered thresholds and predefined-time sliding mode variables. Based on the Lyapunov stability theorem, it is proven that the closed-loop systems achieve predefined-time stability. Finally, the effectiveness and advantages of the proposed control methods are validated through two examples.

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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.