{"title":"非稳定飞机2参数分布模型H/sup∞/最优控制器的数值计算与逼近","authors":"D. Enns, H. Ozbay, A. Tannenbaum","doi":"10.1109/ICSYSE.1991.161140","DOIUrl":null,"url":null,"abstract":"The numerical computation of H/sup infinity / optimal controllers for an unstable aircraft model with a time delay is discussed. It is shown that the optimal H/sup infinity / controller for this infinite-dimensional model can be computed from a finite determinantal formula. The properties of the optimal controller are examined. For a particular choice of weights, it is shown with an example that the optimal controller is stable and continuous. Approximations of this controller and suboptimality of the controllers obtained from these approximations are shown.<<ETX>>","PeriodicalId":250037,"journal":{"name":"IEEE 1991 International Conference on Systems Engineering","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Numerical computation and approximations of H/sup infinity / optimal controllers for a 2-parameter distributed model of an unstable aircraft\",\"authors\":\"D. Enns, H. Ozbay, A. Tannenbaum\",\"doi\":\"10.1109/ICSYSE.1991.161140\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The numerical computation of H/sup infinity / optimal controllers for an unstable aircraft model with a time delay is discussed. It is shown that the optimal H/sup infinity / controller for this infinite-dimensional model can be computed from a finite determinantal formula. The properties of the optimal controller are examined. For a particular choice of weights, it is shown with an example that the optimal controller is stable and continuous. Approximations of this controller and suboptimality of the controllers obtained from these approximations are shown.<<ETX>>\",\"PeriodicalId\":250037,\"journal\":{\"name\":\"IEEE 1991 International Conference on Systems Engineering\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE 1991 International Conference on Systems Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICSYSE.1991.161140\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE 1991 International Conference on Systems Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICSYSE.1991.161140","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical computation and approximations of H/sup infinity / optimal controllers for a 2-parameter distributed model of an unstable aircraft
The numerical computation of H/sup infinity / optimal controllers for an unstable aircraft model with a time delay is discussed. It is shown that the optimal H/sup infinity / controller for this infinite-dimensional model can be computed from a finite determinantal formula. The properties of the optimal controller are examined. For a particular choice of weights, it is shown with an example that the optimal controller is stable and continuous. Approximations of this controller and suboptimality of the controllers obtained from these approximations are shown.<>
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