{"title":"具有有界输入和带符号数字图的网络拉格朗日代理的性能保证规定时间两方共识","authors":"","doi":"10.1016/j.jfranklin.2024.107217","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, two kinds of hierarchical time-limited control (HTLC) algorithms with the ability to avoid singularities and simple parameter setting rules are proposed to achieve the bipartite consensus of Networked Lagrange Agents (NLAs), where each agent refers to external disturbances, dynamics uncertainties and bounded inputs. Each HTCL algorithm includes time-limited estimator and prescribed-time local controller. Specially, the HTCL algorithm is developed by combining error transformation and prescribed-time sliding surface. We formally demonstrate that all the states approach the neighborhood of the origin within the prescribed-time, where the settling time can be set only by selecting one parameter. The numerical examples verify the theoretical result.</p></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Performance-guaranteed prescribed-time bipartite consensus of networked Lagrangian agents with bounded inputs and signed digraphs\",\"authors\":\"\",\"doi\":\"10.1016/j.jfranklin.2024.107217\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, two kinds of hierarchical time-limited control (HTLC) algorithms with the ability to avoid singularities and simple parameter setting rules are proposed to achieve the bipartite consensus of Networked Lagrange Agents (NLAs), where each agent refers to external disturbances, dynamics uncertainties and bounded inputs. Each HTCL algorithm includes time-limited estimator and prescribed-time local controller. Specially, the HTCL algorithm is developed by combining error transformation and prescribed-time sliding surface. We formally demonstrate that all the states approach the neighborhood of the origin within the prescribed-time, where the settling time can be set only by selecting one parameter. The numerical examples verify the theoretical result.</p></div>\",\"PeriodicalId\":17283,\"journal\":{\"name\":\"Journal of The Franklin Institute-engineering and Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2024-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of The Franklin Institute-engineering and Applied Mathematics\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0016003224006380\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Franklin Institute-engineering and Applied Mathematics","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0016003224006380","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Performance-guaranteed prescribed-time bipartite consensus of networked Lagrangian agents with bounded inputs and signed digraphs
In this paper, two kinds of hierarchical time-limited control (HTLC) algorithms with the ability to avoid singularities and simple parameter setting rules are proposed to achieve the bipartite consensus of Networked Lagrange Agents (NLAs), where each agent refers to external disturbances, dynamics uncertainties and bounded inputs. Each HTCL algorithm includes time-limited estimator and prescribed-time local controller. Specially, the HTCL algorithm is developed by combining error transformation and prescribed-time sliding surface. We formally demonstrate that all the states approach the neighborhood of the origin within the prescribed-time, where the settling time can be set only by selecting one parameter. The numerical examples verify the theoretical result.
期刊介绍:
The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.