{"title":"具有范数有界非线性不确定性连续线性系统的鲁棒H/sub /spl infin//滤波","authors":"M. R. Filho, C. J. Munaro","doi":"10.1109/CCA.2001.973947","DOIUrl":null,"url":null,"abstract":"This paper studies the problem of robust H/sub /spl infin// filtering of a class of continuous-time linear systems subject to parameter uncertainty. The class of uncertain systems is described by a state-space model with linear nominal parts and norm-bounded nonlinear uncertainties in the state equation. The proposed problem is the design of an asymptotically stable linear filter such that the L/sub 2/-induced gain from the noise signals to the estimation error is kept within a prescribed bound for all admissible parameter uncertainties.","PeriodicalId":365390,"journal":{"name":"Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204)","volume":"230 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Robust H/sub /spl infin// filtering for continuous-time linear systems with norm-bounded nonlinear uncertainties\",\"authors\":\"M. R. Filho, C. J. Munaro\",\"doi\":\"10.1109/CCA.2001.973947\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper studies the problem of robust H/sub /spl infin// filtering of a class of continuous-time linear systems subject to parameter uncertainty. The class of uncertain systems is described by a state-space model with linear nominal parts and norm-bounded nonlinear uncertainties in the state equation. The proposed problem is the design of an asymptotically stable linear filter such that the L/sub 2/-induced gain from the noise signals to the estimation error is kept within a prescribed bound for all admissible parameter uncertainties.\",\"PeriodicalId\":365390,\"journal\":{\"name\":\"Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204)\",\"volume\":\"230 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCA.2001.973947\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCA.2001.973947","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Robust H/sub /spl infin// filtering for continuous-time linear systems with norm-bounded nonlinear uncertainties
This paper studies the problem of robust H/sub /spl infin// filtering of a class of continuous-time linear systems subject to parameter uncertainty. The class of uncertain systems is described by a state-space model with linear nominal parts and norm-bounded nonlinear uncertainties in the state equation. The proposed problem is the design of an asymptotically stable linear filter such that the L/sub 2/-induced gain from the noise signals to the estimation error is kept within a prescribed bound for all admissible parameter uncertainties.