{"title":"Minimum sensitivity implementations for multi-mode systems","authors":"Erik I. Verriest","doi":"10.1109/CDC.1988.194716","DOIUrl":null,"url":null,"abstract":"The design and implementation of multimode systems under finite-precision restrictions are addressed. Earlier results linking minimum-sensitivity realizations for linear time-invariant systems to the balanced realizations are extended to the multimode and general time-varying systems. The main design problems are posed in a geometric framework, and the geometric theory is applied to switched systems and piecewise linear systems and to the general time-varying case. These optimal realizations are applied to obtain an optimal implementation of a simple multimode filter that allows the tracking of a target with low-complexity, small-wordlength hardware.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 27th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1988.194716","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
The design and implementation of multimode systems under finite-precision restrictions are addressed. Earlier results linking minimum-sensitivity realizations for linear time-invariant systems to the balanced realizations are extended to the multimode and general time-varying systems. The main design problems are posed in a geometric framework, and the geometric theory is applied to switched systems and piecewise linear systems and to the general time-varying case. These optimal realizations are applied to obtain an optimal implementation of a simple multimode filter that allows the tracking of a target with low-complexity, small-wordlength hardware.<>
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