{"title":"具有e1-修正律的自适应系统的扰动分岔","authors":"S. Bai, F. Salam","doi":"10.23919/ACC.1988.4789823","DOIUrl":null,"url":null,"abstract":"The so-called e1-modification law proposed by Narendra and Annaswamy (1987) has been studied through a prototype adaptve control system, with a single unknown pole and an unknown constant disturbance at its input. This paper reveals that using this law in the case of regulation the system possesses multiple equilibria and undergoes various bifurcations.","PeriodicalId":6395,"journal":{"name":"1988 American Control Conference","volume":"48 1","pages":"772-773"},"PeriodicalIF":0.0000,"publicationDate":"1988-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Disturbance-Generated Bifurcation in an Adaptive System with e1-Modification Law\",\"authors\":\"S. Bai, F. Salam\",\"doi\":\"10.23919/ACC.1988.4789823\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The so-called e1-modification law proposed by Narendra and Annaswamy (1987) has been studied through a prototype adaptve control system, with a single unknown pole and an unknown constant disturbance at its input. This paper reveals that using this law in the case of regulation the system possesses multiple equilibria and undergoes various bifurcations.\",\"PeriodicalId\":6395,\"journal\":{\"name\":\"1988 American Control Conference\",\"volume\":\"48 1\",\"pages\":\"772-773\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1988 American Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/ACC.1988.4789823\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1988 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ACC.1988.4789823","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Disturbance-Generated Bifurcation in an Adaptive System with e1-Modification Law
The so-called e1-modification law proposed by Narendra and Annaswamy (1987) has been studied through a prototype adaptve control system, with a single unknown pole and an unknown constant disturbance at its input. This paper reveals that using this law in the case of regulation the system possesses multiple equilibria and undergoes various bifurcations.
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