{"title":"雷达跟踪用/spl α /-/spl β /-/spl γ /滤波器的稳定条件和稳态误差","authors":"Y. Kosuge, M. Ito, T. Okada","doi":"10.1109/SICE.2000.889644","DOIUrl":null,"url":null,"abstract":"We present the necessary and sufficient condition that an /spl alpha/-/spl beta/-/spl gamma/ filter is stable. We also show that there exist two different stable /spl alpha/-/spl beta/-/spl gamma/ filters one of which is derived from Kalman filter equations and another from fading memory filter equations. We derive equations of the steady state variances of an /spl alpha/-/spl beta/-/spl gamma/ filter for a constant velocity target. We also present the necessary and sufficient condition that these variances become positive. Furthermore, we show that this condition is equivalent to the stability condition.","PeriodicalId":254956,"journal":{"name":"SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545)","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"A stability condition and steady state errors of an /spl alpha/-/spl beta/-/spl gamma/ filter for radar tracking\",\"authors\":\"Y. Kosuge, M. Ito, T. Okada\",\"doi\":\"10.1109/SICE.2000.889644\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present the necessary and sufficient condition that an /spl alpha/-/spl beta/-/spl gamma/ filter is stable. We also show that there exist two different stable /spl alpha/-/spl beta/-/spl gamma/ filters one of which is derived from Kalman filter equations and another from fading memory filter equations. We derive equations of the steady state variances of an /spl alpha/-/spl beta/-/spl gamma/ filter for a constant velocity target. We also present the necessary and sufficient condition that these variances become positive. Furthermore, we show that this condition is equivalent to the stability condition.\",\"PeriodicalId\":254956,\"journal\":{\"name\":\"SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545)\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SICE.2000.889644\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SICE 2000. Proceedings of the 39th SICE Annual Conference. International Session Papers (IEEE Cat. No.00TH8545)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SICE.2000.889644","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A stability condition and steady state errors of an /spl alpha/-/spl beta/-/spl gamma/ filter for radar tracking
We present the necessary and sufficient condition that an /spl alpha/-/spl beta/-/spl gamma/ filter is stable. We also show that there exist two different stable /spl alpha/-/spl beta/-/spl gamma/ filters one of which is derived from Kalman filter equations and another from fading memory filter equations. We derive equations of the steady state variances of an /spl alpha/-/spl beta/-/spl gamma/ filter for a constant velocity target. We also present the necessary and sufficient condition that these variances become positive. Furthermore, we show that this condition is equivalent to the stability condition.
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