Time delays, such as transmission delays or measurement delays, are common phenomena in practical networked control systems. These delays directly threaten the effective completion of cooperative tasks. In this study, the leader-following containment control problem of hybrid fractional-order networked agents with nonuniform time delays is addressed. The position and velocity loops of each double-integrator agent are modeled by fractional-order calculus equations of different orders, which is also called the hybrid fractional-order networked agent system. At first, the mathematical expressions for the upper bound of allowable time delays with respect to the system parameters, such as fractional order, topological structure properties, and controller gains, are given explicitly considering both the directed and undirected graph conditions. Then, this paper obtains the maximum allowable upper bounds of time delays for achieving leader-following containment tracking control in the case of fractional order mismatch. Based on this, it is convenient to calculate the delay margin directly and to judge the stability of the networked agent systems with nonuniform time delays. Finally, some simulation results are given to verify the effectiveness of the delay margin for networked agent systems. The results show that the system stability can be directly judged by calculating the critical time delay condition; meanwhile, the system robustness can also be improved by actively adjusting the controller parameters to increase the delay margin.
{"title":"Leader-Following Containment Control of Hybrid Fractional-Order Networked Agents With Nonuniform Time Delays","authors":"Weihao Li;Lei Shi;Mengji Shi;Jiangfeng Yue;Boxian Lin;Kaiyu Qin","doi":"10.1109/TSIPN.2023.3325967","DOIUrl":"https://doi.org/10.1109/TSIPN.2023.3325967","url":null,"abstract":"Time delays, such as transmission delays or measurement delays, are common phenomena in practical networked control systems. These delays directly threaten the effective completion of cooperative tasks. In this study, the leader-following containment control problem of hybrid fractional-order networked agents with nonuniform time delays is addressed. The position and velocity loops of each double-integrator agent are modeled by fractional-order calculus equations of different orders, which is also called the hybrid fractional-order networked agent system. At first, the mathematical expressions for the upper bound of allowable time delays with respect to the system parameters, such as fractional order, topological structure properties, and controller gains, are given explicitly considering both the directed and undirected graph conditions. Then, this paper obtains the maximum allowable upper bounds of time delays for achieving leader-following containment tracking control in the case of fractional order mismatch. Based on this, it is convenient to calculate the delay margin directly and to judge the stability of the networked agent systems with nonuniform time delays. Finally, some simulation results are given to verify the effectiveness of the delay margin for networked agent systems. The results show that the system stability can be directly judged by calculating the critical time delay condition; meanwhile, the system robustness can also be improved by actively adjusting the controller parameters to increase the delay margin.","PeriodicalId":56268,"journal":{"name":"IEEE Transactions on Signal and Information Processing over Networks","volume":"9 ","pages":"750-760"},"PeriodicalIF":3.2,"publicationDate":"2023-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"109157520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-16DOI: 10.1109/TSIPN.2023.3324583
Vivek Khatana;Murti V. Salapaka
Motivated by the needs of resiliency, scalability, and plug-and-play operation, distributed decision making is becoming increasingly prevalent. The problem of achieving consensus in a multi-agent system is at the core of distributed decision making. In this article, we study the problem of achieving average consensus over a directed