{"title":"A Continuous-Time Algorithm for Distributed Optimization With Nonuniform Time-Delay Under Switching and Unbalanced Digraphs","authors":"Wenbo Zhu;Wenqiang Wu;Qingling Wang","doi":"10.1109/TSIPN.2024.3485549","DOIUrl":null,"url":null,"abstract":"This paper studies the distributed optimization of continuous-time multi-agent systems with time-delay under switching digraphs. An auxiliary system which only requires the information of the number of adjacent agents is first constructed, then a class of new distributed optimization algorithms are proposed. As an application, we extend above algorithms to address distributed economic dispatch issues for smart grids. It is theoretically shown that the new illustrated distributed control strategies can asymptotically realize optimal consensus for multi-agent systems and optimal economic dispatch for smart grids, where the communication time-delay can be nonuniform, and the switching digraphs are uniformly jointly strongly connected. Finally, two simulation examples are provided to validate theoretical results.","PeriodicalId":56268,"journal":{"name":"IEEE Transactions on Signal and Information Processing over Networks","volume":"10 ","pages":"765-775"},"PeriodicalIF":3.0000,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Signal and Information Processing over Networks","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10731631/","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
This paper studies the distributed optimization of continuous-time multi-agent systems with time-delay under switching digraphs. An auxiliary system which only requires the information of the number of adjacent agents is first constructed, then a class of new distributed optimization algorithms are proposed. As an application, we extend above algorithms to address distributed economic dispatch issues for smart grids. It is theoretically shown that the new illustrated distributed control strategies can asymptotically realize optimal consensus for multi-agent systems and optimal economic dispatch for smart grids, where the communication time-delay can be nonuniform, and the switching digraphs are uniformly jointly strongly connected. Finally, two simulation examples are provided to validate theoretical results.
期刊介绍:
The IEEE Transactions on Signal and Information Processing over Networks publishes high-quality papers that extend the classical notions of processing of signals defined over vector spaces (e.g. time and space) to processing of signals and information (data) defined over networks, potentially dynamically varying. In signal processing over networks, the topology of the network may define structural relationships in the data, or may constrain processing of the data. Topics include distributed algorithms for filtering, detection, estimation, adaptation and learning, model selection, data fusion, and diffusion or evolution of information over such networks, and applications of distributed signal processing.