{"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}
引用次数: 6
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.
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