Prescribed performance projective synchronization for unknown complex networks with mismatched dimensions via event-triggered mechanism

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems Pub Date : 2025-05-15 DOI:10.1016/j.nahs.2025.101601

Aili Fan , Lin Du , Junmin Li , Yuhua Du , Zichen Deng , Jinde Cao

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引用次数: 0

Abstract

In this article, we mainly address the function matrix projective synchronization (FMPS) problem with prescribed performance (PP) between a drive network (DN) with time-varying uncertain coupling, and its corresponding response network (RN) with mismatched dimensions. A new hybrid adaptive learning law is proposed, which consists of a discrete adaptive law designed for unknown time-varying coupling coefficients, and a continuous adaptive law designed for time-invariant coefficients. The proposed work extends the adaptive synchronization control that is originally applicable only with the constant coupling coefficient to the case where the coefficients are time-varying. To ensure the state trajectories of the RN are projectively synchronized to those of the DN while complying with PP constraints, a PP controller is designed. Meanwhile, to reduce the communication load, the event-triggered communication (ETC) mechanism is implemented. Finally, the effectiveness of the designed control scheme, adaptive laws and ETC protocol is validated through simulation.

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基于事件触发机制的未知维度不匹配复杂网络的预定性能投影同步

本文主要研究具有时变不确定耦合的驱动网络（DN）与其相应的维度不匹配的响应网络（RN）之间具有规定性能的函数矩阵投影同步（FMPS）问题。提出了一种新的混合自适应学习律，该律包括针对未知时变耦合系数设计的离散自适应律和针对定常耦合系数设计的连续自适应律。将原来只适用于恒定耦合系数的自适应同步控制扩展到系数时变的情况。为了保证在满足PP约束的同时，RN的状态轨迹与DN的状态轨迹在射影上同步，设计了PP控制器。同时，为了减少通信负荷，实现了事件触发通信（ETC）机制。最后，通过仿真验证了所设计的控制方案、自适应律和ETC协议的有效性。

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

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.