Mingde Liu , Liang Zhang , Ning Zhao , Xinjun Wang , Yongchao Liu
{"title":"多智能体系统中基于观测器的可达集综合:一种基于抽样的分布式事件触发策略","authors":"Mingde Liu , Liang Zhang , Ning Zhao , Xinjun Wang , Yongchao Liu","doi":"10.1016/j.amc.2025.129683","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the problem of reachable set synthesis for a class of multi-agent systems. Considering the limited resources for communication between agents, a dual-end sampling mechanism is introduced to reduce the communication load. For the sampled signals at the output end, the cubic spline interpolation method is used to construct a fitting function to approximate the dynamic output signals, and a state observer is constructed according to the fitting function to estimate the system state of each agent. At the input side, the sampling distributed event triggering mechanism is used to design an event-based distributed observation control strategy to ensure that the tracking error is bounded. Finally, the results of the simulations substantiate the validity of the conclusions.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"510 ","pages":"Article 129683"},"PeriodicalIF":3.4000,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Observer-based reachable set synthesis for multi-agent systems: A sampling-based distributed event-triggered strategy\",\"authors\":\"Mingde Liu , Liang Zhang , Ning Zhao , Xinjun Wang , Yongchao Liu\",\"doi\":\"10.1016/j.amc.2025.129683\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper investigates the problem of reachable set synthesis for a class of multi-agent systems. Considering the limited resources for communication between agents, a dual-end sampling mechanism is introduced to reduce the communication load. For the sampled signals at the output end, the cubic spline interpolation method is used to construct a fitting function to approximate the dynamic output signals, and a state observer is constructed according to the fitting function to estimate the system state of each agent. At the input side, the sampling distributed event triggering mechanism is used to design an event-based distributed observation control strategy to ensure that the tracking error is bounded. Finally, the results of the simulations substantiate the validity of the conclusions.</div></div>\",\"PeriodicalId\":55496,\"journal\":{\"name\":\"Applied Mathematics and Computation\",\"volume\":\"510 \",\"pages\":\"Article 129683\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2025-08-20\",\"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/S0096300325004096\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300325004096","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Observer-based reachable set synthesis for multi-agent systems: A sampling-based distributed event-triggered strategy
This paper investigates the problem of reachable set synthesis for a class of multi-agent systems. Considering the limited resources for communication between agents, a dual-end sampling mechanism is introduced to reduce the communication load. For the sampled signals at the output end, the cubic spline interpolation method is used to construct a fitting function to approximate the dynamic output signals, and a state observer is constructed according to the fitting function to estimate the system state of each agent. At the input side, the sampling distributed event triggering mechanism is used to design an event-based distributed observation control strategy to ensure that the tracking error is bounded. Finally, the results of the simulations substantiate the validity of the conclusions.
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.