{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T20:48:35Z","timestamp":1760647715202,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2022,11,2]],"date-time":"2022-11-02T00:00:00Z","timestamp":1667347200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"],"award-info":[{"award-number":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Basic Research Program of Shaanxi","award":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"],"award-info":[{"award-number":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"]}]},{"name":"Young Talent Promotion Program of Shaanxi Association for Science and Technology","award":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"],"award-info":[{"award-number":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"]}]},{"name":"State Key Laboratory of Intelligent Control and Decision of Complex Systems","award":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"],"award-info":[{"award-number":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"]}]},{"name":"Postdoctoral Science Foundation of China","award":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"],"award-info":[{"award-number":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"]}]},{"name":"Teaching reform project of higher education in Heilongjiang Province","award":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"],"award-info":[{"award-number":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"]}]},{"name":"Natural Science Foundation of Heilongjiang Province of China","award":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"],"award-info":[{"award-number":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"],"award-info":[{"award-number":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Harbin Normal University","award":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"],"award-info":[{"award-number":["D5000210690","2022JQ-580","20220121","2020M683736","SJGY20210456","LH2021F038","62203461","62203365","HSDSSCX2022-17","HSDSSCX2022-18","HSDSSCX2022-19"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Effective fault-diagnosis strategies have been the focus of research on multi-agent systems (MASs). In this paper, the belief rule base (BRB)-based distributed fault-diagnosis problem for MASs is investigated, and a topology-switching strategy is developed to increase the reliability of fault-diagnosis model. Firstly, a BRB-based distributed fault-diagnosis model is constructed for the MAS with multiple faults, then expert knowledge is used to judge whether the agent is faulty. Then, considering that the system may be influenced by the fault or some other factors and thus leading to a decrease in the accuracy of the fault-diagnosis results, a topology-switching strategy based on the average distance of the output diagnosis accuracy is proposed to update the topology of the agent so that the fault-diagnosis results can be more reliable. Note that the topology-switching threshold is designed based on the average distance between the accuracy of the fault diagnosis of each agent. The method proposed in this paper can solve the problem when the fault-diagnosis accuracy of the model is affected by some common factors and thus decreases, and can improve the reliability of the fault-diagnosis model very well. Finally, the effectiveness of the BRB-based distributed fault-diagnosis model and the proposed topology-switching strategy to improve the fault-diagnosis accuracy is verified by simulation examples.<\/jats:p>","DOI":"10.3390\/e24111591","type":"journal-article","created":{"date-parts":[[2022,11,3]],"date-time":"2022-11-03T03:11:21Z","timestamp":1667445081000},"page":"1591","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["A New Topology-Switching Strategy for Fault Diagnosis of Multi-Agent Systems Based on Belief Rule Base"],"prefix":"10.3390","volume":"24","author":[{"given":"Ziyi","family":"Wang","sequence":"first","affiliation":[{"name":"School of Computer Science and Information Engineering, Harbin Normal University, Harbin 150500, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4229-9886","authenticated-orcid":false,"given":"Shaohua","family":"Li","sequence":"additional","affiliation":[{"name":"School of Innovation and Entrepreneurship, Dalian University of Foreign Languages, Dalian 116044, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4523-8242","authenticated-orcid":false,"given":"Wei","family":"He","sequence":"additional","affiliation":[{"name":"School of Computer Science and Information Engineering, Harbin Normal University, Harbin 150500, China"},{"name":"High-Tech Institute of Xi\u2019an, Xi\u2019an 710025, China"}]},{"given":"Ruohan","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Electronics and Information, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Zhichao","family":"Feng","sequence":"additional","affiliation":[{"name":"High-Tech Institute of Xi\u2019an, Xi\u2019an 710025, China"}]},{"given":"Guowen","family":"Sun","sequence":"additional","affiliation":[{"name":"School of Computer Science and Information Engineering, Harbin Normal University, Harbin 150500, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1465","DOI":"10.1109\/TAC.2004.834433","article-title":"Information flow and cooperative control of vehicle formations","volume":"49","author":"Fax","year":"2004","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1086","DOI":"10.1109\/TITS.2019.2901791","article-title":"Multi-agent deep reinforcement learning for large-scale traffic signal control","volume":"21","author":"Chu","year":"2019","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"3112","DOI":"10.1109\/TSMC.2020.3010825","article-title":"Dynamic event-triggered distributed coordination control and its applications: A survey of trends and techniques","volume":"50","author":"Ge","year":"2020","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1032","DOI":"10.1049\/iet-cta.2013.0841","article-title":"Distributed fault detection for a class of second-order multi-agent systems: An optimal robust observer approach","volume":"8","author":"Shi","year":"2014","journal-title":"IET Control Theory Appl."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"2518","DOI":"10.1109\/TCYB.2020.3007655","article-title":"Partial-nodes-based distributed fault detection and isolation for second-order multiagent systems with exogenous disturbances","volume":"52","author":"Jia","year":"2020","journal-title":"IEEE Trans. Cybern."},{"key":"ref_6","first-page":"129","article-title":"Distributed fault diagnosis of multi-agent systems with time-varying sensor faults","volume":"14","author":"Zhang","year":"2020","journal-title":"ICIC Express Lett."},{"key":"ref_7","first-page":"306","article-title":"Adjustable parameter-based distributed fault estimation observer design for multiagent systems with directed graphs","volume":"47","author":"Zhang","year":"2016","journal-title":"IEEE Trans. Cybern."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1080\/00207179.2020.1798023","article-title":"Simultaneous actuator fault estimation and fault-tolerant tracking control for multi-agent systems: A sliding-mode observer-based approach","volume":"95","author":"Hajshirmohamadi","year":"2022","journal-title":"Int. J. Control"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"4215","DOI":"10.1007\/s00034-018-0764-1","article-title":"Finite-time unknown input observer-based distributed fault diagnosis for multi-agent systems with disturbances","volume":"37","author":"Chen","year":"2018","journal-title":"Circuits Syst. Signal Process."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"3258","DOI":"10.1016\/j.jfranklin.2021.01.042","article-title":"Finite-frequency H-\/H\u221e unknown input observer-based distributed fault detection for multi-agent systems","volume":"358","author":"Liang","year":"2021","journal-title":"J. Frankl. Inst."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"4652","DOI":"10.1109\/ACCESS.2016.2602851","article-title":"Observer-based distributed fault detection and isolation for heterogeneous discrete-time multi-agent systems with disturbances","volume":"4","author":"Quan","year":"2016","journal-title":"IEEE Access"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1524","DOI":"10.1002\/acs.3408","article-title":"Distributed cooperative fault detection and isolation for uncertain multi-agent systems based on zonotope theory","volume":"36","author":"Zhang","year":"2022","journal-title":"Int. J. Adapt. Control. Signal Process."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Lu, X., Liu, X., Li, B., and Zhong, J. (2021). Data-driven state prediction and sensor fault diagnosis for multi-agent systems with application to a twin rotational inverted pendulum. Processes, 9.","DOI":"10.3390\/pr9091505"},{"key":"ref_14","unstructured":"Li, Y., and Yang, C. (2021). Distributed fault detection of multi-agent system based on relative output information. Control. Decis."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Cao, Y., Li, T., Li, Y., and Wang, X. (2022). Heterogeneous Multi-Agent-Based Fault Diagnosis Scheme for Actuation System. Actuators, 11.","DOI":"10.3390\/act11040113"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2631","DOI":"10.1109\/TIM.2008.925009","article-title":"A novel method for analog fault diagnosis based on neural networks and genetic algorithms","volume":"57","author":"Tan","year":"2008","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Yu, H., and Wang, T. (2021). A Method for Real-Time Fault Detection of Liquid Rocket Engine Based on Adaptive Genetic Algorithm Optimizing Back Propagation Neural Network. Sensors, 21.","DOI":"10.3390\/s21155026"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1109\/TSMCA.2005.851270","article-title":"Belief rule-base inference methodology using the evidential reasoning approach-RIMER","volume":"36","author":"Yang","year":"2006","journal-title":"IEEE Trans. Syst. Man Cybern.-Part A Syst. Hum."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"903","DOI":"10.1109\/TFUZZ.2018.2878196","article-title":"A new belief rule base model with attribute reliability","volume":"27","author":"Feng","year":"2018","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.microrel.2018.05.019","article-title":"A new hierarchical belief-rule-based method for reliability evaluation of wireless sensor network","volume":"87","author":"He","year":"2018","journal-title":"Microelectron. Reliab."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"656","DOI":"10.1109\/TSMC.2017.2759026","article-title":"A belief rule-based expert system for fault diagnosis of marine diesel engines","volume":"50","author":"Xu","year":"2017","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"9404","DOI":"10.1109\/ACCESS.2018.2808605","article-title":"A new belief-rule-based method for fault diagnosis of wireless sensor network","volume":"6","author":"He","year":"2018","journal-title":"IEEE Access"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1109\/TITS.2020.3008266","article-title":"A BRB-based effective fault diagnosis model for high-speed trains running gear systems","volume":"23","author":"Cheng","year":"2020","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Zhang, B., Zhang, Y., Zhang, A., Wu, L., and Hu, G. (2019, January 5\u20137). Fault Diagnosis Method of WSN Nodes Based on Wavelet Packet and Belief Rule Base. Proceedings of the 2019 CAA Symposium on Fault Detection, Supervision and Safety for Technical Processes (SAFEPROCESS), Xiamen, China.","DOI":"10.1109\/SAFEPROCESS45799.2019.9213350"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"954","DOI":"10.1109\/TSMC.2016.2630800","article-title":"A new evidential reasoning-based method for online safety assessment of complex systems","volume":"48","author":"Zhao","year":"2016","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/24\/11\/1591\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:09:18Z","timestamp":1760144958000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/24\/11\/1591"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,2]]},"references-count":25,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2022,11]]}},"alternative-id":["e24111591"],"URL":"https:\/\/doi.org\/10.3390\/e24111591","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2022,11,2]]}}}