{"title":"一类具有区间时变时滞中立型系统的L2-L∞滤波器设计","authors":"Zhijin Li, Dean Zhao, W. Xia","doi":"10.1109/CINC.2010.5643771","DOIUrl":null,"url":null,"abstract":"This paper is concerned with L2-L∞ filtering for a class of neutral systems with interval time-varying delays. The objective is to design a full order filter such that the resulting filtering error system is asymptotically stable with a prescribed L2-L∞ performance satisfied. Based on Lyapunov stability theory, a delay-dependent and rate-dependent sufficient condition for the existence of filter is obtained in terms of linear matrix inequalities (LMIs). The corresponding filter design method is also proposed, while the explicit expression for the desired filter is given. A numerical example is finally included to illustrate the effectiveness of the proposed method.","PeriodicalId":227004,"journal":{"name":"2010 Second International Conference on Computational Intelligence and Natural Computing","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"L2-L∞ filter design for a class of neutral systems with interval time-varying delay\",\"authors\":\"Zhijin Li, Dean Zhao, W. Xia\",\"doi\":\"10.1109/CINC.2010.5643771\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with L2-L∞ filtering for a class of neutral systems with interval time-varying delays. The objective is to design a full order filter such that the resulting filtering error system is asymptotically stable with a prescribed L2-L∞ performance satisfied. Based on Lyapunov stability theory, a delay-dependent and rate-dependent sufficient condition for the existence of filter is obtained in terms of linear matrix inequalities (LMIs). The corresponding filter design method is also proposed, while the explicit expression for the desired filter is given. A numerical example is finally included to illustrate the effectiveness of the proposed method.\",\"PeriodicalId\":227004,\"journal\":{\"name\":\"2010 Second International Conference on Computational Intelligence and Natural Computing\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Second International Conference on Computational Intelligence and Natural Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CINC.2010.5643771\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Second International Conference on Computational Intelligence and Natural Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CINC.2010.5643771","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
L2-L∞ filter design for a class of neutral systems with interval time-varying delay
This paper is concerned with L2-L∞ filtering for a class of neutral systems with interval time-varying delays. The objective is to design a full order filter such that the resulting filtering error system is asymptotically stable with a prescribed L2-L∞ performance satisfied. Based on Lyapunov stability theory, a delay-dependent and rate-dependent sufficient condition for the existence of filter is obtained in terms of linear matrix inequalities (LMIs). The corresponding filter design method is also proposed, while the explicit expression for the desired filter is given. A numerical example is finally included to illustrate the effectiveness of the proposed method.