{"title":"右幂零相互作用矩阵及其在多变量随机控制中的应用","authors":"A. Papliński, M. Rogozinski","doi":"10.1109/ACC.1990.4173794","DOIUrl":null,"url":null,"abstract":"This paper concerns stochastic control of a linear multivariable system having a general delay structure. A new characterization of the delay structure of a multivariable system (the right nilpotent interactor matrix) and an algorithm for its calculation are introduced. This interactor matrix is employed in the development of the stochastic controller which minimizes separately the variance of the tracking error for each system output.","PeriodicalId":307181,"journal":{"name":"1990 American Control Conference","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Right Nilpotent Interactor Matrix and its Application to Multivariable Stochastic Control\",\"authors\":\"A. Papliński, M. Rogozinski\",\"doi\":\"10.1109/ACC.1990.4173794\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper concerns stochastic control of a linear multivariable system having a general delay structure. A new characterization of the delay structure of a multivariable system (the right nilpotent interactor matrix) and an algorithm for its calculation are introduced. This interactor matrix is employed in the development of the stochastic controller which minimizes separately the variance of the tracking error for each system output.\",\"PeriodicalId\":307181,\"journal\":{\"name\":\"1990 American Control Conference\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1990 American Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.1990.4173794\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1990 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1990.4173794","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Right Nilpotent Interactor Matrix and its Application to Multivariable Stochastic Control
This paper concerns stochastic control of a linear multivariable system having a general delay structure. A new characterization of the delay structure of a multivariable system (the right nilpotent interactor matrix) and an algorithm for its calculation are introduced. This interactor matrix is employed in the development of the stochastic controller which minimizes separately the variance of the tracking error for each system output.
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