{"title":"多分辨率控制器设计","authors":"D. Clancy, U. Ozguner","doi":"10.1109/ACC.1998.703260","DOIUrl":null,"url":null,"abstract":"The framework necessary for achieving a multiresolutional control system is developed by this paper. This paper focuses on modeling each element of a control system using a best orthonormal wavelet packet basis and then determining the optimal controller using the same orthonormal wavelet packet basis or another related orthonormal wavelet packet basis. A theorem for designing a wavelet packet controller which minimizes the 2-norm sensitivity function for a single-input single-output (SISO) system is presented. A theorem for designing a wavelet packet controller which minimizes the 2-norm mixed sensitivity function for a SISO system is also presented. Multiresolutional controller design examples are presented and compared with discrete H/sup 2/ controllers.","PeriodicalId":364267,"journal":{"name":"Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Multiresolutional controller design\",\"authors\":\"D. Clancy, U. Ozguner\",\"doi\":\"10.1109/ACC.1998.703260\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The framework necessary for achieving a multiresolutional control system is developed by this paper. This paper focuses on modeling each element of a control system using a best orthonormal wavelet packet basis and then determining the optimal controller using the same orthonormal wavelet packet basis or another related orthonormal wavelet packet basis. A theorem for designing a wavelet packet controller which minimizes the 2-norm sensitivity function for a single-input single-output (SISO) system is presented. A theorem for designing a wavelet packet controller which minimizes the 2-norm mixed sensitivity function for a SISO system is also presented. Multiresolutional controller design examples are presented and compared with discrete H/sup 2/ controllers.\",\"PeriodicalId\":364267,\"journal\":{\"name\":\"Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.1998.703260\",\"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 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1998.703260","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The framework necessary for achieving a multiresolutional control system is developed by this paper. This paper focuses on modeling each element of a control system using a best orthonormal wavelet packet basis and then determining the optimal controller using the same orthonormal wavelet packet basis or another related orthonormal wavelet packet basis. A theorem for designing a wavelet packet controller which minimizes the 2-norm sensitivity function for a single-input single-output (SISO) system is presented. A theorem for designing a wavelet packet controller which minimizes the 2-norm mixed sensitivity function for a SISO system is also presented. Multiresolutional controller design examples are presented and compared with discrete H/sup 2/ controllers.