{"title":"(J,J′)-具有无限和有限J /spl -轴零的H/sup /spl控制问题的无损分解方法","authors":"Xin Xin, T. Mita, H. Kimura","doi":"10.1109/CDC.1999.831418","DOIUrl":null,"url":null,"abstract":"A (J,J')-lossless factorization approach to 4-block H/sup /spl infin// control problems with infinite and finite j/spl omega/-axis zeros is studied. The (J,J')-lossless factorization for a 2-block plant, which is constructed by augmentation of observation output, and the dual (J,J')-lossless factorization for a 2-block plant, which is constructed by an augmentation of control input, are discussed dually to reveal the fundamental structures of H/sup /spl infin// control problems. The necessary and sufficient conditions for the solvability of the 4-block H/sup /spl infin// control problems are proposed via generalized eigenvalue problems, and suitable controllers in descriptor form for the problems are given.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"(J,J')-lossless factorization approach to H/sup /spl infin// control problems with infinite and finite j/spl omega/-axis zeros\",\"authors\":\"Xin Xin, T. Mita, H. Kimura\",\"doi\":\"10.1109/CDC.1999.831418\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A (J,J')-lossless factorization approach to 4-block H/sup /spl infin// control problems with infinite and finite j/spl omega/-axis zeros is studied. The (J,J')-lossless factorization for a 2-block plant, which is constructed by augmentation of observation output, and the dual (J,J')-lossless factorization for a 2-block plant, which is constructed by an augmentation of control input, are discussed dually to reveal the fundamental structures of H/sup /spl infin// control problems. The necessary and sufficient conditions for the solvability of the 4-block H/sup /spl infin// control problems are proposed via generalized eigenvalue problems, and suitable controllers in descriptor form for the problems are given.\",\"PeriodicalId\":137513,\"journal\":{\"name\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1999.831418\",\"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 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1999.831418","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
(J,J')-lossless factorization approach to H/sup /spl infin// control problems with infinite and finite j/spl omega/-axis zeros
A (J,J')-lossless factorization approach to 4-block H/sup /spl infin// control problems with infinite and finite j/spl omega/-axis zeros is studied. The (J,J')-lossless factorization for a 2-block plant, which is constructed by augmentation of observation output, and the dual (J,J')-lossless factorization for a 2-block plant, which is constructed by an augmentation of control input, are discussed dually to reveal the fundamental structures of H/sup /spl infin// control problems. The necessary and sufficient conditions for the solvability of the 4-block H/sup /spl infin// control problems are proposed via generalized eigenvalue problems, and suitable controllers in descriptor form for the problems are given.
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