{"title":"高层植物右相互作用子的简单推导及其在内外分解中的应用","authors":"W. Kase, Y. Mutoh","doi":"10.1109/MED.2011.5983099","DOIUrl":null,"url":null,"abstract":"An interactor matrix plays several important roles in the control system theory. In this paper, we present a simple method to derive the right interactor for tall transfer function matrix using Moore-Penrose pseudoinverse. By the presented method, all zeros of the interactor lie at the origin. Moreover, the interactor by the proposed method has all-pass property in discrete-time. The method will be applied to the inner-outer factorization. It will be shown that the choice of interactor does not influence the result of the factorization.","PeriodicalId":146203,"journal":{"name":"2011 19th Mediterranean Conference on Control & Automation (MED)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A simple derivation of right interactor for tall plant and its application to inner-outer factorization\",\"authors\":\"W. Kase, Y. Mutoh\",\"doi\":\"10.1109/MED.2011.5983099\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An interactor matrix plays several important roles in the control system theory. In this paper, we present a simple method to derive the right interactor for tall transfer function matrix using Moore-Penrose pseudoinverse. By the presented method, all zeros of the interactor lie at the origin. Moreover, the interactor by the proposed method has all-pass property in discrete-time. The method will be applied to the inner-outer factorization. It will be shown that the choice of interactor does not influence the result of the factorization.\",\"PeriodicalId\":146203,\"journal\":{\"name\":\"2011 19th Mediterranean Conference on Control & Automation (MED)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-06-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 19th Mediterranean Conference on Control & Automation (MED)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MED.2011.5983099\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 19th Mediterranean Conference on Control & Automation (MED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED.2011.5983099","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A simple derivation of right interactor for tall plant and its application to inner-outer factorization
An interactor matrix plays several important roles in the control system theory. In this paper, we present a simple method to derive the right interactor for tall transfer function matrix using Moore-Penrose pseudoinverse. By the presented method, all zeros of the interactor lie at the origin. Moreover, the interactor by the proposed method has all-pass property in discrete-time. The method will be applied to the inner-outer factorization. It will be shown that the choice of interactor does not influence the result of the factorization.