{"title":"多变量结构奇异值稳定裕度的精确计算","authors":"M. Safonov","doi":"10.1109/CDC.1984.272213","DOIUrl":null,"url":null,"abstract":"The extraordinary and little known nonconvex non-linear program solving algorithm of Garcia and Zangwill (G-Z) [8-11] is shown to be suitable for exactly computing the stability margin of diagonally perturbed multivariable feedback systems, even when the number of perturbations exceeds the number three.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"Exact calculation of the multivariable structured-singular-value stability margin\",\"authors\":\"M. Safonov\",\"doi\":\"10.1109/CDC.1984.272213\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The extraordinary and little known nonconvex non-linear program solving algorithm of Garcia and Zangwill (G-Z) [8-11] is shown to be suitable for exactly computing the stability margin of diagonally perturbed multivariable feedback systems, even when the number of perturbations exceeds the number three.\",\"PeriodicalId\":269680,\"journal\":{\"name\":\"The 23rd IEEE Conference on Decision and Control\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1984-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The 23rd IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1984.272213\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272213","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 18
摘要
Garcia and Zangwill (G-Z)[8-11]的非凡且鲜为人知的非凸非线性规划求解算法被证明适用于精确计算对角摄动多变量反馈系统的稳定余量,即使摄动数超过3。
Exact calculation of the multivariable structured-singular-value stability margin
The extraordinary and little known nonconvex non-linear program solving algorithm of Garcia and Zangwill (G-Z) [8-11] is shown to be suitable for exactly computing the stability margin of diagonally perturbed multivariable feedback systems, even when the number of perturbations exceeds the number three.