{"title":"一阶脉宽调制采样数据调节器系统的稳定性和图形分析","authors":"E. Polak","doi":"10.1109/TAC.1961.1105217","DOIUrl":null,"url":null,"abstract":"Pulse-width-modulated sampled-data systems are described by nonlinear difference equations which do not lend themselves to an exact analytic treatment. This paper presents a graphical technique for the analysis of PWM sampled-data systems with first-order plants. This technique provides a sufficient condition for asymptotic stability in the large, a method for examining the damping properties of the system, a method for computing the step response from any initial condition and, finally, a method for observing and interpreting the effect of varying the system parameters on the step response of the system.","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1961-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"43","resultStr":"{\"title\":\"Stability and graphical analysis of first-order pulse-width-modulated sampled-data regulator systems\",\"authors\":\"E. Polak\",\"doi\":\"10.1109/TAC.1961.1105217\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Pulse-width-modulated sampled-data systems are described by nonlinear difference equations which do not lend themselves to an exact analytic treatment. This paper presents a graphical technique for the analysis of PWM sampled-data systems with first-order plants. This technique provides a sufficient condition for asymptotic stability in the large, a method for examining the damping properties of the system, a method for computing the step response from any initial condition and, finally, a method for observing and interpreting the effect of varying the system parameters on the step response of the system.\",\"PeriodicalId\":226447,\"journal\":{\"name\":\"Ire Transactions on Automatic Control\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1961-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"43\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ire Transactions on Automatic Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TAC.1961.1105217\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ire Transactions on Automatic Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TAC.1961.1105217","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability and graphical analysis of first-order pulse-width-modulated sampled-data regulator systems
Pulse-width-modulated sampled-data systems are described by nonlinear difference equations which do not lend themselves to an exact analytic treatment. This paper presents a graphical technique for the analysis of PWM sampled-data systems with first-order plants. This technique provides a sufficient condition for asymptotic stability in the large, a method for examining the damping properties of the system, a method for computing the step response from any initial condition and, finally, a method for observing and interpreting the effect of varying the system parameters on the step response of the system.
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