{"title":"二维滑模控制系统的离散化研究","authors":"Z. Galias, Xinghuo Yu","doi":"10.1109/ECCTD.2007.4529699","DOIUrl":null,"url":null,"abstract":"Zero-order holder discretization of two-dimensional sliding mode control system is studied. Steady-state behaviors are classified and their bounds are found. Conditions under which the system trajectory in the steady state spends at most two iterations on each side of the sliding surface are presented. The existence of complex switching patterns for arbitrarily small discretization steps is confirmed. Theoretical results are illustrated with simulation examples.","PeriodicalId":445822,"journal":{"name":"2007 18th European Conference on Circuit Theory and Design","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Study of discretization of two-dimensional sliding mode control systems\",\"authors\":\"Z. Galias, Xinghuo Yu\",\"doi\":\"10.1109/ECCTD.2007.4529699\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Zero-order holder discretization of two-dimensional sliding mode control system is studied. Steady-state behaviors are classified and their bounds are found. Conditions under which the system trajectory in the steady state spends at most two iterations on each side of the sliding surface are presented. The existence of complex switching patterns for arbitrarily small discretization steps is confirmed. Theoretical results are illustrated with simulation examples.\",\"PeriodicalId\":445822,\"journal\":{\"name\":\"2007 18th European Conference on Circuit Theory and Design\",\"volume\":\"63 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 18th European Conference on Circuit Theory and Design\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ECCTD.2007.4529699\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 18th European Conference on Circuit Theory and Design","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ECCTD.2007.4529699","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Study of discretization of two-dimensional sliding mode control systems
Zero-order holder discretization of two-dimensional sliding mode control system is studied. Steady-state behaviors are classified and their bounds are found. Conditions under which the system trajectory in the steady state spends at most two iterations on each side of the sliding surface are presented. The existence of complex switching patterns for arbitrarily small discretization steps is confirmed. Theoretical results are illustrated with simulation examples.
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