{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,19]],"date-time":"2026-02-19T02:15:49Z","timestamp":1771467349210,"version":"3.50.1"},"reference-count":37,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,4,23]],"date-time":"2024-04-23T00:00:00Z","timestamp":1713830400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Natural Science Foundation of Jiangsu Province of China","award":["BK20231288"],"award-info":[{"award-number":["BK20231288"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This paper addresses the problem of fault detection in DC microgrids in the presence of denial-of-service (DoS) attacks. To deal with the nonlinear term in DC microgrids, a Takagi-Sugeno (T-S) model is employed. In contrast to the conventional approach of utilizing current sampling data in the traditional event-triggered mechanism (ETM), a novel integrated ETM employs historical information from measured data. This innovative strategy mitigates the generation of additional triggering packets resulting from random perturbations, thus reducing redundant transmission data. Under the assumption of faults occurring within a finite-frequency domain, a resilient event-based H\u2212\/H\u221e fault detection filter (FDF) is designed to withstand DoS attacks. The exponential stability conditions are derived in the form of linear matrix inequalities to ensure the performance of fault detected systems. Finally, the simulation results are presented, demonstrating that the designed FDF effectively detects finite-frequency faults in time even under DoS attacks. Furthermore, the FDF exhibits superior fault detection sensitivity compared to the conventional H\u221e method, thus confirming the efficacy of the proposed approach. Additionally, it is observed that a trade-off exists between fault detection performance and the data releasing rate (DRR).<\/jats:p>","DOI":"10.3390\/s24092677","type":"journal-article","created":{"date-parts":[[2024,4,23]],"date-time":"2024-04-23T10:34:05Z","timestamp":1713868445000},"page":"2677","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Resilient Event-Based Fuzzy Fault Detection for DC Microgrids in Finite-Frequency Domain against DoS Attacks"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-5872-6483","authenticated-orcid":false,"given":"Bowen","family":"Ma","sequence":"first","affiliation":[{"name":"College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China"}]},{"given":"Qing","family":"Lu","sequence":"additional","affiliation":[{"name":"College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China"}]},{"given":"Zhou","family":"Gu","sequence":"additional","affiliation":[{"name":"College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing 210037, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4027","DOI":"10.1109\/TPEL.2022.3221349","article-title":"A Partial Power Processing Structure Embedding Renewable Energy Source and Energy Storage Element for Islanded DC Microgrid","volume":"38","author":"Hou","year":"2022","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"36154","DOI":"10.1109\/ACCESS.2021.3062840","article-title":"DC microgrid planning, operation, and control: A comprehensive review","volume":"9","year":"2021","journal-title":"IEEE Access"},{"key":"ref_3","first-page":"4876","article-title":"DC microgrids\u2014Part I: A review of control strategies and stabilization techniques","volume":"31","author":"Lu","year":"2015","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3199","DOI":"10.1109\/TPWRS.2019.2897499","article-title":"Resilience analysis of DC microgrids under denial of service threats","volume":"34","author":"Liu","year":"2019","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_5","first-page":"881","article-title":"Stability analysis and controller design of DC microgrids with constant power loads","volume":"8","author":"Herrera","year":"2015","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1283","DOI":"10.1109\/TCYB.2023.3337797","article-title":"Event-based two-step transmission mechanism for the stabilization of networked T-S fuzzy systems with random uncertainties","volume":"54","author":"Gu","year":"2023","journal-title":"IEEE Trans. Cybern."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"5336","DOI":"10.1109\/TCSI.2020.2994547","article-title":"Adaptive fuzzy output feedback event-triggered control for a class of switched nonlinear systems with sensor failures","volume":"67","author":"Zhang","year":"2020","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"10034","DOI":"10.1109\/TII.2022.3232768","article-title":"Secure filter design of fuzzy switched CPSs with mismatched modes and application: A multidomain event-triggered strategy","volume":"19","author":"Chen","year":"2023","journal-title":"IEEE Trans. Ind. Inform."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1002\/acs.3546","article-title":"Composite adaptive finite-time fuzzy control for switched nonlinear systems with preassigned performance","volume":"37","author":"Sun","year":"2023","journal-title":"Int. J. Adapt. Control Signal Process."},{"key":"ref_10","first-page":"523","article-title":"Hierarchical sliding mode-based adaptive fuzzy control for uncertain switched under-actuated nonlinear systems with input saturation and dead-zone","volume":"43","author":"Yue","year":"2023","journal-title":"Robot. Intell. Autom."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"596","DOI":"10.1016\/j.ins.2022.11.074","article-title":"Adaptive fuzzy resilient control for switched systems with state constraints under deception attacks","volume":"621","author":"He","year":"2023","journal-title":"Inf. Sci."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1007\/s40815-022-01384-y","article-title":"Command-filtered adaptive fuzzy control for switched MIMO nonlinear systems with unknown dead zones and full state constraints","volume":"25","author":"He","year":"2023","journal-title":"Int. J. Fuzzy Syst."},{"key":"ref_13","first-page":"940","article-title":"Fault detection approach in finite frequency domain based on delay-dependent H-infinity filter","volume":"29","author":"Shen","year":"2012","journal-title":"Control Theory Appl."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1007\/s11071-019-04790-4","article-title":"Finite frequency fault detection for a class of nonhomogeneous Markov jump systems with nonlinearities and sensor failures","volume":"96","author":"Long","year":"2019","journal-title":"Nonlinear Dyn."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.automatica.2018.03.024","article-title":"Design of robust fuzzy fault detection filter for polynomial fuzzy systems with new finite frequency specifications","volume":"93","author":"Chibani","year":"2018","journal-title":"Automatica"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2368","DOI":"10.1016\/j.apm.2015.09.059","article-title":"Fault detection for stochastic parameter-varying Markovian jump systems with application to networked control systems","volume":"40","author":"Zhai","year":"2016","journal-title":"Appl. Math. Model."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"3780","DOI":"10.1002\/rnc.3296","article-title":"Fault detection in finite frequency domains for multi-delay uncertain systems with application to ground vehicle","volume":"25","author":"Li","year":"2015","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"3924","DOI":"10.1109\/TII.2018.2799239","article-title":"Distributed cooperative optimal control of DC microgrids with communication delays","volume":"14","author":"Ding","year":"2018","journal-title":"IEEE Trans. Ind. Inform."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1801","DOI":"10.1109\/TSTE.2021.3066334","article-title":"Distributed secondary control for DC microgrid with event-triggered signal transmissions","volume":"12","author":"Xing","year":"2021","journal-title":"IEEE Trans. Sustain. Energy"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"10635","DOI":"10.1109\/TII.2023.3240738","article-title":"Distributed self-triggered control for frequency restoration and active power sharing in islanded microgrids","volume":"19","author":"Chen","year":"2023","journal-title":"IEEE Trans. Ind. Inform."},{"key":"ref_21","first-page":"136590","article-title":"Memory-event-triggered tracking control for intelligent vehicle transportation systems: A leader-following approach","volume":"11","author":"Gu","year":"2023","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1109\/JAS.2023.123225","article-title":"Data-driven control of distributed event-triggered network systems","volume":"10","author":"Wang","year":"2023","journal-title":"IEEE\/CAA J. Autom. Sin."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1109\/TCSI.2019.2948015","article-title":"Attack-resilient event-triggered controller design of DC microgrids under DoS attacks","volume":"67","author":"Hu","year":"2019","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"3774","DOI":"10.1109\/TSMC.2022.3232413","article-title":"Quantization-Based Event-Triggered Consensus of Multiagent Systems Against Aperiodic DoS Attacks","volume":"53","author":"Zhang","year":"2023","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2032","DOI":"10.1109\/TFUZZ.2021.3073264","article-title":"Event-based secure control of T\u2013S fuzzy-based 5-DOF active semivehicle suspension systems subject to DoS attacks","volume":"30","author":"Gu","year":"2021","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"256","DOI":"10.1016\/j.ins.2023.02.058","article-title":"Adaptive neural self-triggered bipartite secure control for nonlinear MASs subject to DoS attacks","volume":"631","author":"Cheng","year":"2023","journal-title":"Inf. Sci."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"4805","DOI":"10.1109\/TIE.2018.2851971","article-title":"Design of quadratic D-stable fuzzy controller for DC microgrids with multiple CPLs","volume":"66","author":"Mardani","year":"2018","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"11300","DOI":"10.1109\/TPEL.2019.2896019","article-title":"Robust non-fragile fuzzy control of uncertain DC microgrids feeding constant power loads","volume":"34","author":"Vafamand","year":"2019","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1537","DOI":"10.1002\/acs.3409","article-title":"Adaptive event-triggered fault detection for nonlinear networked systems in finite-frequency domain under stochastic cyber-attacks","volume":"36","author":"Zhu","year":"2022","journal-title":"Int. J. Adapt. Control Signal Process."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"6544","DOI":"10.1109\/TSMC.2019.2963143","article-title":"Security control for T\u2013S fuzzy systems with adaptive event-triggered mechanism and multiple cyber-attacks","volume":"51","author":"Liu","year":"2020","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"4271","DOI":"10.1109\/TCYB.2018.2861834","article-title":"Resilient event-triggered controller synthesis of networked control systems under periodic DoS jamming attacks","volume":"49","author":"Hu","year":"2018","journal-title":"IEEE Trans. Cybern."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"5626","DOI":"10.1109\/TII.2019.2900230","article-title":"Integral-based event-triggered fault detection filter design for unmanned surface vehicles","volume":"15","author":"Wang","year":"2019","journal-title":"IEEE Trans. Ind. Inform."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1109\/TAC.2012.2206694","article-title":"A delay system method for designing event-triggered controllers of networked control systems","volume":"58","author":"Yue","year":"2012","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"847","DOI":"10.1109\/TAC.2012.2220443","article-title":"Periodic event-triggered control for linear systems","volume":"58","author":"Heemels","year":"2012","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"3001409","DOI":"10.1109\/TIM.2023.3320751","article-title":"Integral-Based Event-Triggered Fault Estimation and Accommodation for Aeroengine Sensor","volume":"72","author":"Ma","year":"2023","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_36","unstructured":"Zhou, K., and Doyle, J.C. (1998). Essentials of Robust Control, Prentice Hall."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"3326","DOI":"10.1109\/TSMC.2021.3064884","article-title":"Event-based fault detection for unmanned surface vehicles subject to denial-of-service attacks","volume":"52","author":"Fei","year":"2021","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/9\/2677\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T14:32:48Z","timestamp":1760106768000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/24\/9\/2677"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,23]]},"references-count":37,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2024,5]]}},"alternative-id":["s24092677"],"URL":"https:\/\/doi.org\/10.3390\/s24092677","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,23]]}}}