{"title":"Saturated control of consensus value under energy and state constraints in multi-agent systems","authors":"","doi":"10.1016/j.automatica.2024.111822","DOIUrl":null,"url":null,"abstract":"<div><p>This work presents a novel decentralized control strategy with a guaranteed cost for bilinear multi-agent systems subjected to products between the state and the control input, state constraints, and limitations on the amplitude and total energy of the control action, which can prevent the consensus from reaching the desired value. We propose state feedback and switching control laws to deal with these restrictions. The main objectives of the work are twofold: (i) to design control laws that ensure stability and guaranteed cost bounds under constraints, and (ii) to determine an estimation of the domain of attraction (DOA), as large as possible, characterized by a polyhedral and an ellipsoidal invariant region contained in the space defined by the state constraints. We adopt a convex optimization procedure based on linear matrix inequalities (LMI) to address these objectives. An original approach employing Lyapunov sets is proposed to deal with control energy and state constraints, and positive system properties are used to estimate the DOA in only one orthant of state space. Through numerical examples, we demonstrate the effectiveness of the proposed Lyapunov-based approach, showing its ability to handle complex constraints and large networks.</p></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":null,"pages":null},"PeriodicalIF":4.8000,"publicationDate":"2024-08-07","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/S0005109824003169","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
This work presents a novel decentralized control strategy with a guaranteed cost for bilinear multi-agent systems subjected to products between the state and the control input, state constraints, and limitations on the amplitude and total energy of the control action, which can prevent the consensus from reaching the desired value. We propose state feedback and switching control laws to deal with these restrictions. The main objectives of the work are twofold: (i) to design control laws that ensure stability and guaranteed cost bounds under constraints, and (ii) to determine an estimation of the domain of attraction (DOA), as large as possible, characterized by a polyhedral and an ellipsoidal invariant region contained in the space defined by the state constraints. We adopt a convex optimization procedure based on linear matrix inequalities (LMI) to address these objectives. An original approach employing Lyapunov sets is proposed to deal with control energy and state constraints, and positive system properties are used to estimate the DOA in only one orthant of state space. Through numerical examples, we demonstrate the effectiveness of the proposed Lyapunov-based approach, showing its ability to handle complex constraints and large networks.
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.