{"title":"Bounded consensus in second-order uncertain nonlinear multiagent systems: A distributed neural network control approach","authors":"Chaoyang Li , Shidong Zhai , Yuanshi Zheng","doi":"10.1016/j.amc.2025.129369","DOIUrl":null,"url":null,"abstract":"<div><div>This paper explores the consensus issue in second-order generalized nonlinear multiagent systems (MAS) that involve uncertain nonlinear dynamics and external disturbances from the system. Suppose that the uncertain nonlinear terms can be approximated by neural networks with nonlinear residues. Through the incorporation of localized adaptive observer and disturbance observer for each agent, we propose a distributed adaptive protocol to promote bounded consensus (BC) in the network. Due to the use of saturated functions and adaptive gains in the protocol, the chattering phenomenon is weakened. Finally, two simulation examples verify the results of the fully distributed adaptive bounded consensus protocol.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"498 ","pages":"Article 129369"},"PeriodicalIF":3.5000,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300325000967","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
This paper explores the consensus issue in second-order generalized nonlinear multiagent systems (MAS) that involve uncertain nonlinear dynamics and external disturbances from the system. Suppose that the uncertain nonlinear terms can be approximated by neural networks with nonlinear residues. Through the incorporation of localized adaptive observer and disturbance observer for each agent, we propose a distributed adaptive protocol to promote bounded consensus (BC) in the network. Due to the use of saturated functions and adaptive gains in the protocol, the chattering phenomenon is weakened. Finally, two simulation examples verify the results of the fully distributed adaptive bounded consensus protocol.
期刊介绍:
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.