{"title":"多扰动时变时滞非线性系统的有限时间控制","authors":"Xinjiang Wei, Huifeng Zhang, Junjie Han","doi":"10.1002/rnc.7958","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>The finite-time control problem is studied for a type of nonlinear systems with time-varying delay and multiple disturbances. The disturbances include external disturbances with partly known information and stochastic noises. A stochastic disturbance observer (SDO) is constructed to estimate external disturbances, and stochastic noises are handled by the <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>$$ {H}_{\\infty } $$</annotation>\n </semantics></math> control method. Then a finite-time anti-disturbance controller is designed by combing the disturbance observer–based control (DOBC), <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>$$ {H}_{\\infty } $$</annotation>\n </semantics></math> control, and finite-time stability theory, which ensures the closed-loop stochastic system is finite-time bounded. Eventually, the validity of the control scheme is verified by a simulation example.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 12","pages":"5003-5015"},"PeriodicalIF":3.2000,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finite-Time Control of Time-Varying Delay Nonlinear Systems With Multiple Disturbances\",\"authors\":\"Xinjiang Wei, Huifeng Zhang, Junjie Han\",\"doi\":\"10.1002/rnc.7958\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n <p>The finite-time control problem is studied for a type of nonlinear systems with time-varying delay and multiple disturbances. The disturbances include external disturbances with partly known information and stochastic noises. A stochastic disturbance observer (SDO) is constructed to estimate external disturbances, and stochastic noises are handled by the <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>$$ {H}_{\\\\infty } $$</annotation>\\n </semantics></math> control method. Then a finite-time anti-disturbance controller is designed by combing the disturbance observer–based control (DOBC), <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>$$ {H}_{\\\\infty } $$</annotation>\\n </semantics></math> control, and finite-time stability theory, which ensures the closed-loop stochastic system is finite-time bounded. Eventually, the validity of the control scheme is verified by a simulation example.</p>\\n </div>\",\"PeriodicalId\":50291,\"journal\":{\"name\":\"International Journal of Robust and Nonlinear Control\",\"volume\":\"35 12\",\"pages\":\"5003-5015\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2025-04-21\",\"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.7958\",\"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.7958","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}
Finite-Time Control of Time-Varying Delay Nonlinear Systems With Multiple Disturbances
The finite-time control problem is studied for a type of nonlinear systems with time-varying delay and multiple disturbances. The disturbances include external disturbances with partly known information and stochastic noises. A stochastic disturbance observer (SDO) is constructed to estimate external disturbances, and stochastic noises are handled by the control method. Then a finite-time anti-disturbance controller is designed by combing the disturbance observer–based control (DOBC), control, and finite-time stability theory, which ensures the closed-loop stochastic system is finite-time bounded. Eventually, the validity of the control scheme is verified by a simulation example.
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.