{"title":"Distributed mean-nonovershooting control of stochastic nonlinear multi-agent systems","authors":"Wuquan Li , Hui Wang , Lu Liu , Gang Feng","doi":"10.1016/j.automatica.2025.112397","DOIUrl":null,"url":null,"abstract":"<div><div>For stochastic nonlinear multi-agent systems in strict-feedback form, we propose a novel distributed mean-nonovershooting control design under directed leader–followers type network topology. Compared with the existing stochastic distributed tracking control designs, the advantage of our design is that the leader’s output can be tracked by the followers’ outputs without any overshooting. Specifically, we first design new distributed controllers to ensure that the fourth-moment of the output tracking errors between the followers and the leader can be tuned arbitrarily small in the long run while all the states of the closed-loop system remain bounded in probability. Then we prove that the mean of the followers’ outputs can asymptotically track the leader’s output without overshooting if the initial values of the followers’ outputs are suitably selected. Finally, a simulation example is given to illustrate the distributed mean-nonovershooting control design.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112397"},"PeriodicalIF":4.8000,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automatica","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0005109825002912","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
For stochastic nonlinear multi-agent systems in strict-feedback form, we propose a novel distributed mean-nonovershooting control design under directed leader–followers type network topology. Compared with the existing stochastic distributed tracking control designs, the advantage of our design is that the leader’s output can be tracked by the followers’ outputs without any overshooting. Specifically, we first design new distributed controllers to ensure that the fourth-moment of the output tracking errors between the followers and the leader can be tuned arbitrarily small in the long run while all the states of the closed-loop system remain bounded in probability. Then we prove that the mean of the followers’ outputs can asymptotically track the leader’s output without overshooting if the initial values of the followers’ outputs are suitably selected. Finally, a simulation example is given to illustrate the distributed mean-nonovershooting control design.
期刊介绍:
Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field.
After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience.
Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.