{"title":"用最优投影方程对LQG/LTR技术的新解释","authors":"R. Paschall, P. Maybeck","doi":"10.1109/CDC.1989.70163","DOIUrl":null,"url":null,"abstract":"It is demonstrated that the LQR/LTR (linear quadratic Gaussian/loop transfer recovery) technique can be viewed as a way to achieve robustness even under the constraint of a reduced-order controller, even though one is not necessarily recovering a desired transfer function asymptotically. The optimal projection equation (OPE) approach gives an expanded view of LQG/LTR technique when the order of the controller is intentionally less than the order of the system design model. Also, the OPE approach allows other forms for Omega , which may give more flexibility as to how the system perturbations are modeled, to be chosen.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new interpretation of the LQG/LTR technique using optimal projection equations\",\"authors\":\"R. Paschall, P. Maybeck\",\"doi\":\"10.1109/CDC.1989.70163\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is demonstrated that the LQR/LTR (linear quadratic Gaussian/loop transfer recovery) technique can be viewed as a way to achieve robustness even under the constraint of a reduced-order controller, even though one is not necessarily recovering a desired transfer function asymptotically. The optimal projection equation (OPE) approach gives an expanded view of LQG/LTR technique when the order of the controller is intentionally less than the order of the system design model. Also, the OPE approach allows other forms for Omega , which may give more flexibility as to how the system perturbations are modeled, to be chosen.<<ETX>>\",\"PeriodicalId\":156565,\"journal\":{\"name\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1989.70163\",\"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 28th IEEE Conference on Decision and Control,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1989.70163","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new interpretation of the LQG/LTR technique using optimal projection equations
It is demonstrated that the LQR/LTR (linear quadratic Gaussian/loop transfer recovery) technique can be viewed as a way to achieve robustness even under the constraint of a reduced-order controller, even though one is not necessarily recovering a desired transfer function asymptotically. The optimal projection equation (OPE) approach gives an expanded view of LQG/LTR technique when the order of the controller is intentionally less than the order of the system design model. Also, the OPE approach allows other forms for Omega , which may give more flexibility as to how the system perturbations are modeled, to be chosen.<>