Dynamic event-triggered extended dissipative scaled consensus control for nonlinear multi-agent systems

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2025-01-24 DOI:10.1016/j.fss.2025.109286

Lihong Feng , Bonan Huang , Huaguang Zhang , Jiayue Sun

{"title":"Dynamic event-triggered extended dissipative scaled consensus control for nonlinear multi-agent systems","authors":"Lihong Feng , Bonan Huang , Huaguang Zhang , Jiayue Sun","doi":"10.1016/j.fss.2025.109286","DOIUrl":null,"url":null,"abstract":"<div><div>This paper focuses on the scaled consensus problem of interval type-2 Takagi-Sugeno (IT-2 T-S) fuzzy multi-agent systems with external disturbance under directed graphs on the basis of dynamic event-triggered mechanisms (DETMs). An extended dissipative performance (EDP) index is introduced in the paper to cope with system disturbances. The <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span>, <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>−</mo><msub><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span>, passivity and <span><math><mo>(</mo><mi>Q</mi><mo>,</mo><mi>S</mi><mo>,</mo><mi>R</mi><mo>)</mo><mo>−</mo><mi>α</mi></math></span>-dissipative performances of the system can also be satisfied by tuning the weighting matrices. In this paper, a novel sampling-based DETM with flexible parameters and dynamic internal variable is proposed for the first time. It effectively reduces unnecessary continuous monitoring and improves the utilization of network resources. Then, an output feedback-based fuzzy control protocol is designed for the situation where the state information is not completely known. Furthermore, a sufficient condition for MAS to achieve scale consensus while satisfying the EDP is obtained using Lyapunov stability theory and linear matrix inequality methods. Finally, the effectiveness and applicability of the proposed method are verified by an numerical simulation and a mass-spring-damper system.</div></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":"506 ","pages":"Article 109286"},"PeriodicalIF":3.2000,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fuzzy Sets and Systems","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165011425000259","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}

引用次数: 0

Abstract

This paper focuses on the scaled consensus problem of interval type-2 Takagi-Sugeno (IT-2 T-S) fuzzy multi-agent systems with external disturbance under directed graphs on the basis of dynamic event-triggered mechanisms (DETMs). An extended dissipative performance (EDP) index is introduced in the paper to cope with system disturbances. The

H_{\infty}

L_{2} - L_{\infty}

, passivity and

(Q, S, R) - α

-dissipative performances of the system can also be satisfied by tuning the weighting matrices. In this paper, a novel sampling-based DETM with flexible parameters and dynamic internal variable is proposed for the first time. It effectively reduces unnecessary continuous monitoring and improves the utilization of network resources. Then, an output feedback-based fuzzy control protocol is designed for the situation where the state information is not completely known. Furthermore, a sufficient condition for MAS to achieve scale consensus while satisfying the EDP is obtained using Lyapunov stability theory and linear matrix inequality methods. Finally, the effectiveness and applicability of the proposed method are verified by an numerical simulation and a mass-spring-damper system.

查看原文本刊更多论文

求助全文

约1分钟内获得全文求助全文

来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.