{"title":"三、四次最优多项式滤波器及其在汽车系统中的应用","authors":"M. Basin, M. García","doi":"10.1109/CCA.2001.973979","DOIUrl":null,"url":null,"abstract":"This paper presents the optimal nonlinear filter for a stochastic system state given by a polynomial equation of degree 3 or 4 and linear observations confused with white Gaussian noises. The obtained filtering equations are applied to solution of the state estimation problem for a nonlinear automotive system. Simulation results are compared for the optimal polynomial filter given in this paper and the linear Kalman-Bucy filter applied to the linearized system.","PeriodicalId":365390,"journal":{"name":"Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Optimal polynomial filter of degrees 3 and 4 and its application to an automotive system\",\"authors\":\"M. Basin, M. García\",\"doi\":\"10.1109/CCA.2001.973979\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents the optimal nonlinear filter for a stochastic system state given by a polynomial equation of degree 3 or 4 and linear observations confused with white Gaussian noises. The obtained filtering equations are applied to solution of the state estimation problem for a nonlinear automotive system. Simulation results are compared for the optimal polynomial filter given in this paper and the linear Kalman-Bucy filter applied to the linearized system.\",\"PeriodicalId\":365390,\"journal\":{\"name\":\"Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204)\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-09-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"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.2001.973979\",\"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.2001.973979","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal polynomial filter of degrees 3 and 4 and its application to an automotive system
This paper presents the optimal nonlinear filter for a stochastic system state given by a polynomial equation of degree 3 or 4 and linear observations confused with white Gaussian noises. The obtained filtering equations are applied to solution of the state estimation problem for a nonlinear automotive system. Simulation results are compared for the optimal polynomial filter given in this paper and the linear Kalman-Bucy filter applied to the linearized system.
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