{"title":"μ-不稳定系统的相互作用测度","authors":"V. Kariwala, J. Forbes, S. Skogestad","doi":"10.1504/IJAAC.2007.015845","DOIUrl":null,"url":null,"abstract":"The requirement that the system and its block diagonal elements have the same unstable poles limits the applicability of μ interaction measure (μ-IM) to stable systems. We propose an extension of the conventional μ-IM to overcome this difficulty. The decentralized controller is designed based on a block diagonal approximation that is different from the block diagonal elements and is selected by minimizing the scaled L∞ distance between the system and the approximation. We also present a simple method for designing the decentralized controller based on the approximation. The proposed method is useful for system stabilization using independent designs of the decentralized controller","PeriodicalId":415827,"journal":{"name":"2006 9th International Conference on Control, Automation, Robotics and Vision","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"μ-Interaction Measure for Unstable Systems\",\"authors\":\"V. Kariwala, J. Forbes, S. Skogestad\",\"doi\":\"10.1504/IJAAC.2007.015845\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The requirement that the system and its block diagonal elements have the same unstable poles limits the applicability of μ interaction measure (μ-IM) to stable systems. We propose an extension of the conventional μ-IM to overcome this difficulty. The decentralized controller is designed based on a block diagonal approximation that is different from the block diagonal elements and is selected by minimizing the scaled L∞ distance between the system and the approximation. We also present a simple method for designing the decentralized controller based on the approximation. The proposed method is useful for system stabilization using independent designs of the decentralized controller\",\"PeriodicalId\":415827,\"journal\":{\"name\":\"2006 9th International Conference on Control, Automation, Robotics and Vision\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-11-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 9th International Conference on Control, Automation, Robotics and Vision\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/IJAAC.2007.015845\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 9th International Conference on Control, Automation, Robotics and Vision","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/IJAAC.2007.015845","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The requirement that the system and its block diagonal elements have the same unstable poles limits the applicability of μ interaction measure (μ-IM) to stable systems. We propose an extension of the conventional μ-IM to overcome this difficulty. The decentralized controller is designed based on a block diagonal approximation that is different from the block diagonal elements and is selected by minimizing the scaled L∞ distance between the system and the approximation. We also present a simple method for designing the decentralized controller based on the approximation. The proposed method is useful for system stabilization using independent designs of the decentralized controller
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