{"title":"/spl α /-/spl β /-/spl γ /滤波器稳定性的充分必要条件","authors":"Y. Kosuge, M. Ito","doi":"10.1109/SICE.2001.977805","DOIUrl":null,"url":null,"abstract":"We present a necessary and sufficient condition for the stability of an /spl alpha/-/spl beta/-/spl gamma/ filter that can be used even when the values of filter gains /spl alpha/, /spl beta/ and /spl gamma/ are larger than 1. We also present the optimal choice of the /spl alpha/, /spl beta/, /spl gamma/ combination of an /spl alpha/-/spl beta/-/spl gamma/ filter. For choice, we use the steady state errors of the predicted position of the /spl alpha/-/spl beta/-/spl gamma/ filter. More exactly, we use the steady state variance for a constant velocity target under the condition that the steady state errors for a constant jerk (derivative of the acceleration) target are the same.","PeriodicalId":415046,"journal":{"name":"SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"A necessary and sufficient condition for the stability of an /spl alpha/-/spl beta/-/spl gamma/ filter\",\"authors\":\"Y. Kosuge, M. Ito\",\"doi\":\"10.1109/SICE.2001.977805\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a necessary and sufficient condition for the stability of an /spl alpha/-/spl beta/-/spl gamma/ filter that can be used even when the values of filter gains /spl alpha/, /spl beta/ and /spl gamma/ are larger than 1. We also present the optimal choice of the /spl alpha/, /spl beta/, /spl gamma/ combination of an /spl alpha/-/spl beta/-/spl gamma/ filter. For choice, we use the steady state errors of the predicted position of the /spl alpha/-/spl beta/-/spl gamma/ filter. More exactly, we use the steady state variance for a constant velocity target under the condition that the steady state errors for a constant jerk (derivative of the acceleration) target are the same.\",\"PeriodicalId\":415046,\"journal\":{\"name\":\"SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603)\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SICE 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SICE.2001.977805\",\"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 2001. Proceedings of the 40th SICE Annual Conference. International Session Papers (IEEE Cat. No.01TH8603)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SICE.2001.977805","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A necessary and sufficient condition for the stability of an /spl alpha/-/spl beta/-/spl gamma/ filter
We present a necessary and sufficient condition for the stability of an /spl alpha/-/spl beta/-/spl gamma/ filter that can be used even when the values of filter gains /spl alpha/, /spl beta/ and /spl gamma/ are larger than 1. We also present the optimal choice of the /spl alpha/, /spl beta/, /spl gamma/ combination of an /spl alpha/-/spl beta/-/spl gamma/ filter. For choice, we use the steady state errors of the predicted position of the /spl alpha/-/spl beta/-/spl gamma/ filter. More exactly, we use the steady state variance for a constant velocity target under the condition that the steady state errors for a constant jerk (derivative of the acceleration) target are the same.
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