{"title":"扭转控制器增益自适应","authors":"A. Levant, M. Taleb, F. Plestan","doi":"10.1109/CDC.2011.6160787","DOIUrl":null,"url":null,"abstract":"Adaptation of twisting controller is performed in order to diminish the discontinuous control magnitude. The second-order real sliding mode is stably kept due to the instant multiplication of the gain by a chosen constant factor at the moments when the divergence is detected. Then the gain is gradually decreased. The resulting gain maxima are proved not to exceed the unknown equivalent control magnitude multiplied by a certain factor. Computer simulation confirms the theoretical results.","PeriodicalId":360068,"journal":{"name":"IEEE Conference on Decision and Control and European Control Conference","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Twisting-controller gain adaptation\",\"authors\":\"A. Levant, M. Taleb, F. Plestan\",\"doi\":\"10.1109/CDC.2011.6160787\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Adaptation of twisting controller is performed in order to diminish the discontinuous control magnitude. The second-order real sliding mode is stably kept due to the instant multiplication of the gain by a chosen constant factor at the moments when the divergence is detected. Then the gain is gradually decreased. The resulting gain maxima are proved not to exceed the unknown equivalent control magnitude multiplied by a certain factor. Computer simulation confirms the theoretical results.\",\"PeriodicalId\":360068,\"journal\":{\"name\":\"IEEE Conference on Decision and Control and European Control Conference\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Conference on Decision and Control and European Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2011.6160787\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Conference on Decision and Control and European Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2011.6160787","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Adaptation of twisting controller is performed in order to diminish the discontinuous control magnitude. The second-order real sliding mode is stably kept due to the instant multiplication of the gain by a chosen constant factor at the moments when the divergence is detected. Then the gain is gradually decreased. The resulting gain maxima are proved not to exceed the unknown equivalent control magnitude multiplied by a certain factor. Computer simulation confirms the theoretical results.