{"title":"The gain margin of optimal bang-bang control systems","authors":"T. Glad","doi":"10.1109/CDC.1984.272154","DOIUrl":null,"url":null,"abstract":"The gain margin of optimal controllers of bang-band type is considered. It is shown that the gain margin is infinite if the switching surface is such that trajectories that reach it stay in the surface. For other types of switching surface an example shows that the behavior is more complicated when the gain is increased.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 23rd IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1984.272154","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The gain margin of optimal bang-bang control systems
The gain margin of optimal controllers of bang-band type is considered. It is shown that the gain margin is infinite if the switching surface is such that trajectories that reach it stay in the surface. For other types of switching surface an example shows that the behavior is more complicated when the gain is increased.
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