{"title":"扰动非线性系统的FDI:基于SOS技术的非线性UIO方法","authors":"Jun Xu, K. Lum, Lihua Xie, A. Loh","doi":"10.1109/ICCIS.2010.5518549","DOIUrl":null,"url":null,"abstract":"This paper presents a novel unknown input observer (UIO) design method for fault detection and isolation (FDI) of a class of nonlinear affine systems with disturbance. By using Lie geometry and sum-of-squares (SOS) theory as the main tools, a simple and systematic design procedure is proposed. Compared with the traditional UIO design, the rank constraint is much relaxed. Meanwhile, we show that the threshold can be easily obtained from a L2 gain result using a SOS formulation.","PeriodicalId":445473,"journal":{"name":"2010 IEEE Conference on Cybernetics and Intelligent Systems","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"FDI of disturbed nonlinear systems: A nonlinear UIO approach with SOS techniques\",\"authors\":\"Jun Xu, K. Lum, Lihua Xie, A. Loh\",\"doi\":\"10.1109/ICCIS.2010.5518549\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a novel unknown input observer (UIO) design method for fault detection and isolation (FDI) of a class of nonlinear affine systems with disturbance. By using Lie geometry and sum-of-squares (SOS) theory as the main tools, a simple and systematic design procedure is proposed. Compared with the traditional UIO design, the rank constraint is much relaxed. Meanwhile, we show that the threshold can be easily obtained from a L2 gain result using a SOS formulation.\",\"PeriodicalId\":445473,\"journal\":{\"name\":\"2010 IEEE Conference on Cybernetics and Intelligent Systems\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE Conference on Cybernetics and Intelligent Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCIS.2010.5518549\",\"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 IEEE Conference on Cybernetics and Intelligent Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCIS.2010.5518549","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
FDI of disturbed nonlinear systems: A nonlinear UIO approach with SOS techniques
This paper presents a novel unknown input observer (UIO) design method for fault detection and isolation (FDI) of a class of nonlinear affine systems with disturbance. By using Lie geometry and sum-of-squares (SOS) theory as the main tools, a simple and systematic design procedure is proposed. Compared with the traditional UIO design, the rank constraint is much relaxed. Meanwhile, we show that the threshold can be easily obtained from a L2 gain result using a SOS formulation.
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