{"title":"具有未知输出函数的随机高阶非线性时延系统的输出反馈稳定化","authors":"Wei Dong, Mengmeng Jiang","doi":"10.1049/cth2.12678","DOIUrl":null,"url":null,"abstract":"<p>This article considers the problem of output feedback stabilization for a class of stochastic high-order nonlinear time-delay systems with unknown output function. For stochastic high-order nonlinear time-delay systems, based on the Lyapunov stability theorem, by combining the addition of one power integrator and homogeneous domination method, the maximal open sector <span></span><math>\n <semantics>\n <mi>Δ</mi>\n <annotation>$\\Delta$</annotation>\n </semantics></math> of output function is given. As long as output function belongs to any closed sector included in <span></span><math>\n <semantics>\n <mi>Δ</mi>\n <annotation>$\\Delta$</annotation>\n </semantics></math>, an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.</p>","PeriodicalId":50382,"journal":{"name":"IET Control Theory and Applications","volume":"18 15","pages":"1922-1935"},"PeriodicalIF":2.2000,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.12678","citationCount":"0","resultStr":"{\"title\":\"Output feedback stabilization of stochastic high-order nonlinear time-delay systems with unknown output function\",\"authors\":\"Wei Dong, Mengmeng Jiang\",\"doi\":\"10.1049/cth2.12678\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This article considers the problem of output feedback stabilization for a class of stochastic high-order nonlinear time-delay systems with unknown output function. For stochastic high-order nonlinear time-delay systems, based on the Lyapunov stability theorem, by combining the addition of one power integrator and homogeneous domination method, the maximal open sector <span></span><math>\\n <semantics>\\n <mi>Δ</mi>\\n <annotation>$\\\\Delta$</annotation>\\n </semantics></math> of output function is given. As long as output function belongs to any closed sector included in <span></span><math>\\n <semantics>\\n <mi>Δ</mi>\\n <annotation>$\\\\Delta$</annotation>\\n </semantics></math>, an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.</p>\",\"PeriodicalId\":50382,\"journal\":{\"name\":\"IET Control Theory and Applications\",\"volume\":\"18 15\",\"pages\":\"1922-1935\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-05-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1049/cth2.12678\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IET Control Theory and Applications\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1049/cth2.12678\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IET Control Theory and Applications","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1049/cth2.12678","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Output feedback stabilization of stochastic high-order nonlinear time-delay systems with unknown output function
This article considers the problem of output feedback stabilization for a class of stochastic high-order nonlinear time-delay systems with unknown output function. For stochastic high-order nonlinear time-delay systems, based on the Lyapunov stability theorem, by combining the addition of one power integrator and homogeneous domination method, the maximal open sector of output function is given. As long as output function belongs to any closed sector included in , an output feedback controller can be developed to guarantee the closed-loop system globally asymptotically stable in probability.
期刊介绍:
IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces.
Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed.
Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.