{"title":"传感器饱和不确定非线性延迟系统的鲁棒L2-L∞滤波","authors":"Yanhui Li, Shu Zhang","doi":"10.1109/ICMC.2014.7231666","DOIUrl":null,"url":null,"abstract":"In this paper, a robust L2-L∞ filter design method is presented for a class of continuous-time uncertain nonlinear systems of which the output equations contain the time-varying delay and the saturation items while the state equations contain the time-varying delay items. The memoryless sector region method is utilized to deal with the saturation, and the nonlinearity is subjected to the Lipschitz condition. A delay-dependent Lyapunov-Krasovskii functional(LKF) approach is presented to guarantee that the filtering error system is asymptotically stable and satisfies the L2-L∞ performance constraint. An illustrative example is used to elucidate the efficacy of the proposed approach.","PeriodicalId":104511,"journal":{"name":"2014 International Conference on Mechatronics and Control (ICMC)","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Robust L2-L∞ filtering for uncertain nonlinear delay systems with sensor saturation\",\"authors\":\"Yanhui Li, Shu Zhang\",\"doi\":\"10.1109/ICMC.2014.7231666\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a robust L2-L∞ filter design method is presented for a class of continuous-time uncertain nonlinear systems of which the output equations contain the time-varying delay and the saturation items while the state equations contain the time-varying delay items. The memoryless sector region method is utilized to deal with the saturation, and the nonlinearity is subjected to the Lipschitz condition. A delay-dependent Lyapunov-Krasovskii functional(LKF) approach is presented to guarantee that the filtering error system is asymptotically stable and satisfies the L2-L∞ performance constraint. An illustrative example is used to elucidate the efficacy of the proposed approach.\",\"PeriodicalId\":104511,\"journal\":{\"name\":\"2014 International Conference on Mechatronics and Control (ICMC)\",\"volume\":\"62 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-07-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 International Conference on Mechatronics and Control (ICMC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMC.2014.7231666\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 International Conference on Mechatronics and Control (ICMC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMC.2014.7231666","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Robust L2-L∞ filtering for uncertain nonlinear delay systems with sensor saturation
In this paper, a robust L2-L∞ filter design method is presented for a class of continuous-time uncertain nonlinear systems of which the output equations contain the time-varying delay and the saturation items while the state equations contain the time-varying delay items. The memoryless sector region method is utilized to deal with the saturation, and the nonlinearity is subjected to the Lipschitz condition. A delay-dependent Lyapunov-Krasovskii functional(LKF) approach is presented to guarantee that the filtering error system is asymptotically stable and satisfies the L2-L∞ performance constraint. An illustrative example is used to elucidate the efficacy of the proposed approach.