{"title":"一种通用型脉宽调制反馈系统的稳定性","authors":"R. Walk, J. Rootenberg","doi":"10.1002/J.1538-7305.1973.TB02709.X","DOIUrl":null,"url":null,"abstract":"Because of its theoretical and practical interest, the stability problem in pulse-width-modulated feedback systems has received an enormous amount of attention. Much of the reported literature deals with highly approximate methods, and the exact approaches, based on Lyapunov's direct method or functional analysis, are quite restrictive and do not easily lend themselves to systematic compensation or design. In this paper, a quite general PWM is considered, and a frequency domain stability criterion is presented, yielding a geometric interpretation in the Popov plane.","PeriodicalId":55391,"journal":{"name":"Bell System Technical Journal","volume":"18 1","pages":"1811-1819"},"PeriodicalIF":0.0000,"publicationDate":"1973-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability of a general type of pulse-width-modulated feedback system\",\"authors\":\"R. Walk, J. Rootenberg\",\"doi\":\"10.1002/J.1538-7305.1973.TB02709.X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Because of its theoretical and practical interest, the stability problem in pulse-width-modulated feedback systems has received an enormous amount of attention. Much of the reported literature deals with highly approximate methods, and the exact approaches, based on Lyapunov's direct method or functional analysis, are quite restrictive and do not easily lend themselves to systematic compensation or design. In this paper, a quite general PWM is considered, and a frequency domain stability criterion is presented, yielding a geometric interpretation in the Popov plane.\",\"PeriodicalId\":55391,\"journal\":{\"name\":\"Bell System Technical Journal\",\"volume\":\"18 1\",\"pages\":\"1811-1819\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1973-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bell System Technical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1002/J.1538-7305.1973.TB02709.X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bell System Technical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/J.1538-7305.1973.TB02709.X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability of a general type of pulse-width-modulated feedback system
Because of its theoretical and practical interest, the stability problem in pulse-width-modulated feedback systems has received an enormous amount of attention. Much of the reported literature deals with highly approximate methods, and the exact approaches, based on Lyapunov's direct method or functional analysis, are quite restrictive and do not easily lend themselves to systematic compensation or design. In this paper, a quite general PWM is considered, and a frequency domain stability criterion is presented, yielding a geometric interpretation in the Popov plane.
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