{"title":"具有加权模式相关平均停留时间的非线性开关随机延迟系统的异步控制","authors":"Bo Liu, Longsuo Li, Yong Chen","doi":"10.1002/rnc.7579","DOIUrl":null,"url":null,"abstract":"<p>This article investigates the asynchronous control for a class of nonlinear switched stochastic delayed systems. In response to this issue, the weighted mode-dependent average dwell time is first applied to switched stochastic systems as a more general switching signal. In addition, the asynchronous phenomenon is considered to address the mismatch in practical applications, where “mismatch” means the switching of the controllers has a delay to the switching of system modes. Then by selecting new multiple Lyapunov–Krasovskii functionals, sufficient conditions for mean-square exponential stability and an <span></span><math>\n <semantics>\n <mrow>\n <msub>\n <mrow>\n <mi>ℋ</mi>\n </mrow>\n <mrow>\n <mi>∞</mi>\n </mrow>\n </msub>\n </mrow>\n <annotation>$$ {\\mathscr{H}}_{\\infty } $$</annotation>\n </semantics></math> performance are derived. Finally, numerical examples are provided to illustrate the effectiveness of the proposed methods.</p>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"34 17","pages":"11432-11450"},"PeriodicalIF":3.2000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asynchronous control for nonlinear switched stochastic delayed systems with weighted mode-dependent average dwell time\",\"authors\":\"Bo Liu, Longsuo Li, Yong Chen\",\"doi\":\"10.1002/rnc.7579\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This article investigates the asynchronous control for a class of nonlinear switched stochastic delayed systems. In response to this issue, the weighted mode-dependent average dwell time is first applied to switched stochastic systems as a more general switching signal. In addition, the asynchronous phenomenon is considered to address the mismatch in practical applications, where “mismatch” means the switching of the controllers has a delay to the switching of system modes. Then by selecting new multiple Lyapunov–Krasovskii functionals, sufficient conditions for mean-square exponential stability and an <span></span><math>\\n <semantics>\\n <mrow>\\n <msub>\\n <mrow>\\n <mi>ℋ</mi>\\n </mrow>\\n <mrow>\\n <mi>∞</mi>\\n </mrow>\\n </msub>\\n </mrow>\\n <annotation>$$ {\\\\mathscr{H}}_{\\\\infty } $$</annotation>\\n </semantics></math> performance are derived. Finally, numerical examples are provided to illustrate the effectiveness of the proposed methods.</p>\",\"PeriodicalId\":50291,\"journal\":{\"name\":\"International Journal of Robust and Nonlinear Control\",\"volume\":\"34 17\",\"pages\":\"11432-11450\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Robust and Nonlinear Control\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/rnc.7579\",\"RegionNum\":3,\"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":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/rnc.7579","RegionNum":3,"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}
Asynchronous control for nonlinear switched stochastic delayed systems with weighted mode-dependent average dwell time
This article investigates the asynchronous control for a class of nonlinear switched stochastic delayed systems. In response to this issue, the weighted mode-dependent average dwell time is first applied to switched stochastic systems as a more general switching signal. In addition, the asynchronous phenomenon is considered to address the mismatch in practical applications, where “mismatch” means the switching of the controllers has a delay to the switching of system modes. Then by selecting new multiple Lyapunov–Krasovskii functionals, sufficient conditions for mean-square exponential stability and an performance are derived. Finally, numerical examples are provided to illustrate the effectiveness of the proposed methods.
期刊介绍:
Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.