{"title":"周期系统中有界持续扰动的最优抑制","authors":"M. Dahleh, P. Voulgaris, L. Valavani","doi":"10.1109/CDC.1990.204034","DOIUrl":null,"url":null,"abstract":"The problem of optimal rejection of bounded persistent disturbances is solved in the case of linear discrete-time periodic systems. The solution consists of solving an equivalent time-invariant standard l/sup 1/ optimization problem subject to an additional constraint. This constraint ensures the causality of the resulting periodic controller. By duality theory, the problem is shown to be equivalent to a linear programming problem, which is no harder than the standard l/sup 1/ problem.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"306 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Optimal rejection of bounded persistent disturbances in periodic systems\",\"authors\":\"M. Dahleh, P. Voulgaris, L. Valavani\",\"doi\":\"10.1109/CDC.1990.204034\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of optimal rejection of bounded persistent disturbances is solved in the case of linear discrete-time periodic systems. The solution consists of solving an equivalent time-invariant standard l/sup 1/ optimization problem subject to an additional constraint. This constraint ensures the causality of the resulting periodic controller. By duality theory, the problem is shown to be equivalent to a linear programming problem, which is no harder than the standard l/sup 1/ problem.<<ETX>>\",\"PeriodicalId\":287089,\"journal\":{\"name\":\"29th IEEE Conference on Decision and Control\",\"volume\":\"306 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-12-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"29th IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1990.204034\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"29th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1990.204034","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal rejection of bounded persistent disturbances in periodic systems
The problem of optimal rejection of bounded persistent disturbances is solved in the case of linear discrete-time periodic systems. The solution consists of solving an equivalent time-invariant standard l/sup 1/ optimization problem subject to an additional constraint. This constraint ensures the causality of the resulting periodic controller. By duality theory, the problem is shown to be equivalent to a linear programming problem, which is no harder than the standard l/sup 1/ problem.<>
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