{"title":"带参数时滞模糊系统状态估计控制器的稳定性分析与设计","authors":"Mohamed Ali Hammami, Francois Delmotte","doi":"10.24425/acs.2022.143668","DOIUrl":null,"url":null,"abstract":"This paper deals with the problem of stabilization by an estimated state feedback for a family ofnonlineartime-delayTakagi-Sugenofuzzyparameterizedsystems.Thedelayissupposedtobe constantwheretheparameter-dependentcontrolslawsareusedtocompensatethenonlinearities whichareformulatedintermsoflinearmatrixinequalities(LMIs).BasedontheLyapunov-Krasovskiifunctionals,globalexponentialstabilityoftheclosed-loopsystemsisachieved.The controllerandobservergainsareabletobeseparatelydesignedeveninthepresenceofmodeling uncertaintyandstatedelay.Finally,anumericalexampleisgiventoshowtheapplicabilityof themainresult.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"33 3","pages":"0"},"PeriodicalIF":1.2000,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability analysis and design of state estimated controller for delay fuzzy systems with parameter\",\"authors\":\"Mohamed Ali Hammami, Francois Delmotte\",\"doi\":\"10.24425/acs.2022.143668\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the problem of stabilization by an estimated state feedback for a family ofnonlineartime-delayTakagi-Sugenofuzzyparameterizedsystems.Thedelayissupposedtobe constantwheretheparameter-dependentcontrolslawsareusedtocompensatethenonlinearities whichareformulatedintermsoflinearmatrixinequalities(LMIs).BasedontheLyapunov-Krasovskiifunctionals,globalexponentialstabilityoftheclosed-loopsystemsisachieved.The controllerandobservergainsareabletobeseparatelydesignedeveninthepresenceofmodeling uncertaintyandstatedelay.Finally,anumericalexampleisgiventoshowtheapplicabilityof themainresult.\",\"PeriodicalId\":48654,\"journal\":{\"name\":\"Archives of Control Sciences\",\"volume\":\"33 3\",\"pages\":\"0\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archives of Control Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24425/acs.2022.143668\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives of Control Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24425/acs.2022.143668","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Stability analysis and design of state estimated controller for delay fuzzy systems with parameter
This paper deals with the problem of stabilization by an estimated state feedback for a family ofnonlineartime-delayTakagi-Sugenofuzzyparameterizedsystems.Thedelayissupposedtobe constantwheretheparameter-dependentcontrolslawsareusedtocompensatethenonlinearities whichareformulatedintermsoflinearmatrixinequalities(LMIs).BasedontheLyapunov-Krasovskiifunctionals,globalexponentialstabilityoftheclosed-loopsystemsisachieved.The controllerandobservergainsareabletobeseparatelydesignedeveninthepresenceofmodeling uncertaintyandstatedelay.Finally,anumericalexampleisgiventoshowtheapplicabilityof themainresult.
期刊介绍：
Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.
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