{"title":"一种自适应控制算法的收敛速度及其在直流电机速度控制中的应用","authors":"H. Benchoubane, D. Stoten","doi":"10.1109/IECON.1990.149172","DOIUrl":null,"url":null,"abstract":"A method of obtaining the convergence rates of the minimal-controller synthesis (MCS) strategy, as applied to a first-order SISO (single-input-single-output) plant, is described. The MCS algorithm is a significant development of model reference adaptive control, and is based on the hyperstability theory of Popov. Bounds are provided on the speed of convergence of the closed-loop error dynamics. It is shown that no knowledge of the plant dynamics is required, apart from an estimate of the low-frequency gain. An estimate of the plant output settling-time is derived. The problem of MCS speed control as applied to a DC machine is investigated from an error-convergence viewpoint.<<ETX>>","PeriodicalId":253424,"journal":{"name":"[Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Convergence rates of an adaptive control algorithm with application to the speed control of a DC machine\",\"authors\":\"H. Benchoubane, D. Stoten\",\"doi\":\"10.1109/IECON.1990.149172\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method of obtaining the convergence rates of the minimal-controller synthesis (MCS) strategy, as applied to a first-order SISO (single-input-single-output) plant, is described. The MCS algorithm is a significant development of model reference adaptive control, and is based on the hyperstability theory of Popov. Bounds are provided on the speed of convergence of the closed-loop error dynamics. It is shown that no knowledge of the plant dynamics is required, apart from an estimate of the low-frequency gain. An estimate of the plant output settling-time is derived. The problem of MCS speed control as applied to a DC machine is investigated from an error-convergence viewpoint.<<ETX>>\",\"PeriodicalId\":253424,\"journal\":{\"name\":\"[Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-11-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IECON.1990.149172\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IECON.1990.149172","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Convergence rates of an adaptive control algorithm with application to the speed control of a DC machine
A method of obtaining the convergence rates of the minimal-controller synthesis (MCS) strategy, as applied to a first-order SISO (single-input-single-output) plant, is described. The MCS algorithm is a significant development of model reference adaptive control, and is based on the hyperstability theory of Popov. Bounds are provided on the speed of convergence of the closed-loop error dynamics. It is shown that no knowledge of the plant dynamics is required, apart from an estimate of the low-frequency gain. An estimate of the plant output settling-time is derived. The problem of MCS speed control as applied to a DC machine is investigated from an error-convergence viewpoint.<>