{"title":"具有斜坡输入的高阶非线性控制系统的综合","authors":"C. Shen","doi":"10.1109/TAC.1962.1105422","DOIUrl":null,"url":null,"abstract":"Unsymmetrical half periods exist in a system with static and kinetic dry friction. The time duration under kinetic and viscous friction is much shorter than that under static friction alone. The condition of sustained oscillation is formulated and determined by a modified describing function method. The accuracy of this mothod is evaluated by comparison to an exact analysis.","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1962-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Synthesis of high-order nonlinear control systems with ramp input\",\"authors\":\"C. Shen\",\"doi\":\"10.1109/TAC.1962.1105422\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Unsymmetrical half periods exist in a system with static and kinetic dry friction. The time duration under kinetic and viscous friction is much shorter than that under static friction alone. The condition of sustained oscillation is formulated and determined by a modified describing function method. The accuracy of this mothod is evaluated by comparison to an exact analysis.\",\"PeriodicalId\":226447,\"journal\":{\"name\":\"Ire Transactions on Automatic Control\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1962-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ire Transactions on Automatic Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TAC.1962.1105422\",\"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.1962.1105422","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Synthesis of high-order nonlinear control systems with ramp input
Unsymmetrical half periods exist in a system with static and kinetic dry friction. The time duration under kinetic and viscous friction is much shorter than that under static friction alone. The condition of sustained oscillation is formulated and determined by a modified describing function method. The accuracy of this mothod is evaluated by comparison to an exact analysis.
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