{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:37:27Z","timestamp":1760143047157,"version":"build-2065373602"},"reference-count":46,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2024,1,16]],"date-time":"2024-01-16T00:00:00Z","timestamp":1705363200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["52371369","2021YFB390150","2022J01323","2021J01822","2020J01660","2020J01659","2023J01325","3502ZCQXT2021007"],"award-info":[{"award-number":["52371369","2021YFB390150","2022J01323","2021J01822","2020J01660","2020J01659","2023J01325","3502ZCQXT2021007"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Projects of the National Key R &amp; D Program","award":["52371369","2021YFB390150","2022J01323","2021J01822","2020J01660","2020J01659","2023J01325","3502ZCQXT2021007"],"award-info":[{"award-number":["52371369","2021YFB390150","2022J01323","2021J01822","2020J01660","2020J01659","2023J01325","3502ZCQXT2021007"]}]},{"name":"National Science Project of Fujian Province","award":["52371369","2021YFB390150","2022J01323","2021J01822","2020J01660","2020J01659","2023J01325","3502ZCQXT2021007"],"award-info":[{"award-number":["52371369","2021YFB390150","2022J01323","2021J01822","2020J01660","2020J01659","2023J01325","3502ZCQXT2021007"]}]},{"name":"Fuzhou-Xiamen-Quanzhou Independent Innovation Region Cooperated Special Foundation","award":["52371369","2021YFB390150","2022J01323","2021J01822","2020J01660","2020J01659","2023J01325","3502ZCQXT2021007"],"award-info":[{"award-number":["52371369","2021YFB390150","2022J01323","2021J01822","2020J01660","2020J01659","2023J01325","3502ZCQXT2021007"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>This article discusses the stability problem of sampled-data-based dynamic positioning ships (DPSs) using Takagi\u2013Sugeno (T-S) fuzzy models. Firstly, dynamic equations for sampled-data DPSs are established. Simultaneously combining several symmetric matrices with new integral terms, a novel Lyapunov\u2013Krasovskii function (LKF) is constructed, which allows the information of a sampling pattern to be fully captured. Next, via the constructed LKF, the positive definiteness requirements of a LKF are further relaxed, and the conservatism of the result can be reduced. Consequently, stability criteria are given, and fuzzy sampled-data controllers are designed in terms of linear matrix inequality (LMI). Finally, a simulation example is provided to verify the superiority and applicability of the developed methods.<\/jats:p>","DOI":"10.3390\/sym16010108","type":"journal-article","created":{"date-parts":[[2024,1,16]],"date-time":"2024-01-16T04:56:59Z","timestamp":1705381019000},"page":"108","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Further Stability Criteria for Sampled-Data-Based Dynamic Positioning Ships Using Takagi\u2013Sugeno Fuzzy Models"],"prefix":"10.3390","volume":"16","author":[{"given":"Minjie","family":"Zheng","sequence":"first","affiliation":[{"name":"Navigation College, Jimei University, Xiamen 361021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yulai","family":"Su","sequence":"additional","affiliation":[{"name":"Navigation College, Jimei University, Xiamen 361021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Changjian","family":"Yan","sequence":"additional","affiliation":[{"name":"Navigation College, Jimei University, Xiamen 361021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,1,16]]},"reference":[{"key":"ref_1","unstructured":"Fossen, T.I. (1994). Guidance and Control of Ocean Vehicles, Wiley."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2750","DOI":"10.1109\/TCYB.2018.2829730","article-title":"Network-based T-S fuzzy dynamic positioning controller design for unmanned marine vehicles","volume":"48","author":"Wang","year":"2018","journal-title":"IEEE Trans. Cybern."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1109\/TVT.2021.3050044","article-title":"Fault tolerant control for dynamic positioning of unmanned marine vehicles based on T-S fuzzy model with unknown membership functions","volume":"70","author":"Hao","year":"2021","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1340","DOI":"10.1109\/TCST.2015.2497280","article-title":"Dynamic positioning with model predictive control","volume":"24","author":"Veksler","year":"2016","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Nguyen, V.S. (2020). Investigation of a multitasking system for automatic ship berthing in marine practice based on an integrated neural controller. Mathematics, 8.","DOI":"10.3390\/math8071167"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"472","DOI":"10.1016\/j.oceaneng.2015.07.001","article-title":"Advanced control for fault-tolerant dynamic positioning of an offshore supply vessel","volume":"106","author":"Benetazzo","year":"2015","journal-title":"Ocean Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"104785","DOI":"10.1016\/j.conengprac.2021.104785","article-title":"Guidance and control methodologies for marine vehicles: A survey","volume":"111","author":"Karimi","year":"2021","journal-title":"Control Eng. Pract."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"9439","DOI":"10.1109\/TIE.2019.2892696","article-title":"Reliable fuzzy tracking control of near-space hypersonic vehicle using aperiodic measurement information","volume":"66","author":"Wang","year":"2019","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_9","first-page":"27","article-title":"Robust H\u221e filter design for uncertain linear systems over network with network-induced delays and output quantization","volume":"30","author":"Karimi","year":"2009","journal-title":"Nor. Foren. Autom."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"113252","DOI":"10.1016\/j.chaos.2023.113252","article-title":"Non-fragile sampled-data control for synchronization of chaotic fractional-order delayed neural networks via LMI approach","volume":"169","author":"Kiruthika","year":"2023","journal-title":"Chaos Solitons Fractals"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1672","DOI":"10.1109\/TFUZZ.2016.2617378","article-title":"Fuzzy-model-based sampled-data control of chaotic systems: A fuzzy time-dependent Lyapunov\u2013Krasovskii functional approach","volume":"25","author":"Wang","year":"2016","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_12","first-page":"981","article-title":"On master-slave synchronization of Chaotic Lur\u2019e systems using sampled-data control","volume":"85","author":"Wang","year":"2016","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"key":"ref_13","first-page":"515","article-title":"On sampled-data control for masterslave synchronization of chaotic Lur\u2019e systems","volume":"59","author":"Chen","year":"2012","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"2635","DOI":"10.1109\/TCYB.2014.2312004","article-title":"Local synchronization of chaotic neural networks with sampled-data and saturating actuators","volume":"44","author":"Wu","year":"2014","journal-title":"IEEE Trans. Cybern."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"796","DOI":"10.1109\/TSMCB.2012.2230441","article-title":"Stochastic Synchronization of Markovian Jump Neural Networks with Time-Varying Delay Using Sampled Data","volume":"43","author":"Wu","year":"2013","journal-title":"IEEE Trans. Cybern."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/j.isatra.2008.04.002","article-title":"Mixed H2\/H\u221e output-feedback control of second-order neutral systems with time-varying state and input delays","volume":"47","author":"Karimi","year":"2008","journal-title":"ISA Trans."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"5070","DOI":"10.1002\/rnc.6099","article-title":"New results on sampled-data output-feedback control of linear parameter-varying systems","volume":"32","author":"Wei","year":"2022","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1016\/j.trc.2014.06.004","article-title":"Robust sampled-data cruise control scheduling of high speed train","volume":"46","author":"Li","year":"2014","journal-title":"Transp. Res. Part C Emerg. Technol."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1339","DOI":"10.1007\/s11771-014-2071-8","article-title":"Robust H\u221e directional control for a sampled-data autonomous airship","volume":"21","author":"Wang","year":"2014","journal-title":"J. Cent. South Univ."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1325","DOI":"10.1093\/imamci\/dny029","article-title":"Robust H\u221e control of neutral system for sampled-data dynamic positioning ships","volume":"36","author":"Zheng","year":"2019","journal-title":"IMA J. Math. Control Inf."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"14026","DOI":"10.3934\/mbe.2023626","article-title":"Design and stabilization analysis of luxury cruise with dynamic positioning systems based on sampled-data control","volume":"20","author":"Zou","year":"2023","journal-title":"Math. Biosci. Eng."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1007\/s40815-022-01414-9","article-title":"Reliable fuzzy dynamic positioning tracking controller for unmanned surface vehicles based on aperiodic measurement information","volume":"25","author":"Zheng","year":"2023","journal-title":"Int. J. Fuzzy Syst."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"109266","DOI":"10.1016\/j.automatica.2020.109266","article-title":"Robust local stabilization of discrete time varying delayed state systems under saturating actuators","volume":"122","author":"Castro","year":"2020","journal-title":"Automatica"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1489","DOI":"10.1016\/j.automatica.2014.03.017","article-title":"A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems","volume":"50","author":"Ge","year":"2014","journal-title":"Automatica"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/TII.2016.2607150","article-title":"An overview and deep investigation on sampled-data-based event-triggered control and filtering for networked systems","volume":"13","author":"Zhang","year":"2017","journal-title":"IEEE Trans. Ind. Inform."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"113787","DOI":"10.1016\/j.chaos.2023.113787","article-title":"Sampled-data control for mean-square exponential stabilization of memristive neural networks under deception attacks","volume":"174","author":"Yan","year":"2023","journal-title":"Chaos Solitons Fractals"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"374","DOI":"10.1016\/j.ins.2022.11.030","article-title":"Sampled-data control of probabilistic boolean control networks: A deep reinforcement learning approach","volume":"619","author":"Yerudkar","year":"2023","journal-title":"Inf. Sci."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"3875","DOI":"10.1109\/TFUZZ.2018.2852281","article-title":"An improved result on exponential stabilization of sampled-data fuzzy systems","volume":"26","author":"Wang","year":"2018","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"3894","DOI":"10.1109\/TFUZZ.2021.3133892","article-title":"Adaptive memory-event-triggered static output control of T\u2013S fuzzy wind turbine systems","volume":"30","author":"Yan","year":"2021","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"7023","DOI":"10.1109\/TVT.2022.3169349","article-title":"Quantized sampled-data control tactic for TS fuzzy NCS under stochastic cyber-attacks and its application to truck-trailer system","volume":"71","author":"Cai","year":"2022","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"444","DOI":"10.1109\/TSMC.2018.2834967","article-title":"Exponential stabilization of takagi\u2013sugeno fuzzy systems with aperiodic sampling: An aperiodic adaptive event-triggered method","volume":"49","author":"Wang","year":"2019","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"3197","DOI":"10.1109\/TFUZZ.2023.3247030","article-title":"Stability and Stabilization of TS Fuzzy Time-delay Systems under Sampled-data Control via New Asymmetric Functional Method","volume":"31","author":"Sheng","year":"2023","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"3197","DOI":"10.1109\/TFUZZ.2023.3247030","article-title":"Sampled-Data Control Design for T-S Fuzzy System via Quadratic Function Negative Determination Approach","volume":"31","author":"Velmurugan","year":"2023","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1109\/TCST.2009.2014876","article-title":"Nonlinear Sampled-Data Stabilization of Dynamically Positioned Ships","volume":"18","author":"Katayama","year":"2010","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1638","DOI":"10.1109\/TCST.2013.2280717","article-title":"Straight-line trajectory tracking control for sampled-data underactuated ships","volume":"22","author":"Katayama","year":"2014","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"ref_36","first-page":"84","article-title":"Robust H\u221e Control for Sampled-data Dynamic Positioning Ships","volume":"19","author":"Zheng","year":"2017","journal-title":"J. Control Eng. Appl. Inform."},{"key":"ref_37","first-page":"32","article-title":"H-infinity Fault-Tolerant Control for Dynamic Positioning Ships based on Sampled-data","volume":"20","author":"Yang","year":"2018","journal-title":"J. Control Eng. Appl. Inform."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"148193","DOI":"10.1109\/ACCESS.2020.3015589","article-title":"Stability analysis and T-S fuzzy dynamic positioning controller design for autonomous surface vehicles based on sampled-data control","volume":"8","author":"Zheng","year":"2020","journal-title":"IEEE Access"},{"key":"ref_39","first-page":"80","article-title":"Reliable tracking control of dynamic positioning ships based on aperiodic measurement information","volume":"24","author":"Chen","year":"2022","journal-title":"J. Control Eng. Appl. Inform."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"1364","DOI":"10.1002\/rnc.1384","article-title":"Delay-dependent stability and stabilization of neutral time-delay systems","volume":"19","author":"Sun","year":"2009","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"1121","DOI":"10.1016\/j.conengprac.2010.06.007","article-title":"Dynamic positioning systems: An experimental analysis of sliding mode control","volume":"18","author":"Tannuri","year":"2010","journal-title":"Control Eng. Pract."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"1927","DOI":"10.1007\/s40815-016-0286-6","article-title":"Multipollutant air quality management strategies: T-Sets based optimization technique under imprecise environment","volume":"19","author":"Garai","year":"2017","journal-title":"Int. J. Fuzzy Syst."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1504\/IJMOR.2019.103001","article-title":"Optimisation of multi-objective commercial bank balance sheet management model: A parametric T-set approach","volume":"15","author":"Garai","year":"2019","journal-title":"Int. J. Math. Oper. Res."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"950","DOI":"10.1007\/s12597-016-0260-y","article-title":"Intuitionistic fuzzy T-sets based optimization technique for production-distribution planning in supply chain management","volume":"53","author":"Garai","year":"2016","journal-title":"Opsearch"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/j.apor.2015.07.005","article-title":"Adaptive fuzzy controller design for dynamic positioning system of vessels","volume":"53","author":"Hu","year":"2015","journal-title":"Appl. Ocean Res."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1093\/imamci\/19.4.399","article-title":"Robust stability of a class of linear time-varying systems","volume":"19","year":"2002","journal-title":"IMA J. Math. Control Inf."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/16\/1\/108\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T13:47:53Z","timestamp":1760104073000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/16\/1\/108"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,16]]},"references-count":46,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,1]]}},"alternative-id":["sym16010108"],"URL":"https:\/\/doi.org\/10.3390\/sym16010108","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2024,1,16]]}}}