A flexible protocol of finite-time consensus for second-order multi-agent systems with pinning control

IF 6.3 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

ISA transactions Pub Date : 2025-02-01 DOI:10.1016/j.isatra.2024.11.055

Ziwei Zhang , Xiuxia Yin , Songlin Hu

{"title":"A flexible protocol of finite-time consensus for second-order multi-agent systems with pinning control","authors":"Ziwei Zhang , Xiuxia Yin , Songlin Hu","doi":"10.1016/j.isatra.2024.11.055","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we consider the finite-time consensus problem for second-order multi-agent systems with pinning control. Unlike the existing finite-time consensus algorithms for second-order multi-agent systems in which all agents’ velocities and positions are assumed to have common communication weights and nonlinear couplings, we allow communication weights, nonlinear couplings and the feedback gains to be inconsistent for each agent’s velocity and position. A flexible continuous protocol is designed to solve the finite-time consensus problem. Based on the Lyapunov functional approach and finite-time stability analysis, it is proved that this model not only achieves finite-time consensus for every agent but also estimates the settling time depending on initial data without assuming that <span><math><mrow><msub><mrow><mi>α</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>=</mo><mfrac><mrow><mn>2</mn><msub><mrow><mi>α</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow><mrow><mn>1</mn><mo>+</mo><msub><mrow><mi>α</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></mfrac></mrow></math></span>. Moreover, some simulation examples are given to verify the effectiveness of the theoretical results.</div></div>","PeriodicalId":14660,"journal":{"name":"ISA transactions","volume":"157 ","pages":"Pages 11-19"},"PeriodicalIF":6.3000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ISA transactions","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019057824005767","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}

引用次数: 0

Abstract

In this paper, we consider the finite-time consensus problem for second-order multi-agent systems with pinning control. Unlike the existing finite-time consensus algorithms for second-order multi-agent systems in which all agents’ velocities and positions are assumed to have common communication weights and nonlinear couplings, we allow communication weights, nonlinear couplings and the feedback gains to be inconsistent for each agent’s velocity and position. A flexible continuous protocol is designed to solve the finite-time consensus problem. Based on the Lyapunov functional approach and finite-time stability analysis, it is proved that this model not only achieves finite-time consensus for every agent but also estimates the settling time depending on initial data without assuming that

α_{2} = \frac{2 α_{1}}{1 + α_{1}}

. Moreover, some simulation examples are given to verify the effectiveness of the theoretical results.

查看原文本刊更多论文

具有固定控制的二阶多智能体系统的一种灵活的有限时间一致性协议。

研究了一类具有钉住控制的二阶多智能体系统的有限时间一致性问题。现有的二阶多智能体系统有限时间共识算法假设所有智能体的速度和位置具有共同的通信权值和非线性耦合，而我们允许每个智能体的速度和位置的通信权值、非线性耦合和反馈增益不一致。为了解决有限时间共识问题，设计了一种灵活的连续协议。基于Lyapunov泛函方法和有限时间稳定性分析，证明了该模型在不假设α2=2α11+α1的情况下，不仅对每个agent达到了有限时间一致性，而且根据初始数据估计了沉降时间。最后通过仿真算例验证了理论结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

ISA transactions 工程技术-工程：综合

CiteScore

11.70

自引率

12.30%

发文量

824

审稿时长

4.4 months

期刊介绍： ISA Transactions serves as a platform for showcasing advancements in measurement and automation, catering to both industrial practitioners and applied researchers. It covers a wide array of topics within measurement, including sensors, signal processing, data analysis, and fault detection, supported by techniques such as artificial intelligence and communication systems. Automation topics encompass control strategies, modelling, system reliability, and maintenance, alongside optimization and human-machine interaction. The journal targets research and development professionals in control systems, process instrumentation, and automation from academia and industry.