{"title":"三阶Duffing-Holmes型混沌振荡器的自适应非线性控制","authors":"J. Kabzinski, Przemysław Mosiołek","doi":"10.1109/MMAR.2019.8864617","DOIUrl":null,"url":null,"abstract":"A general tracking problem is formulated and solved for a third-order Duffing-Holmes type chaotic oscillator implemented as an electronic circuit with unknown parameters. Two nonlinear controllers, based on adaptive backstepping techniques, are derived and compared. Both are sufficiently robust and accurate for practical implementation. The same approach may be used for chaos stabilization and synchronization.","PeriodicalId":392498,"journal":{"name":"2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)","volume":"145 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Adaptive, nonlinear control of a third-order Duffing-Holmes type chaotic oscillator\",\"authors\":\"J. Kabzinski, Przemysław Mosiołek\",\"doi\":\"10.1109/MMAR.2019.8864617\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A general tracking problem is formulated and solved for a third-order Duffing-Holmes type chaotic oscillator implemented as an electronic circuit with unknown parameters. Two nonlinear controllers, based on adaptive backstepping techniques, are derived and compared. Both are sufficiently robust and accurate for practical implementation. The same approach may be used for chaos stabilization and synchronization.\",\"PeriodicalId\":392498,\"journal\":{\"name\":\"2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"volume\":\"145 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMAR.2019.8864617\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 24th International Conference on Methods and Models in Automation and Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2019.8864617","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Adaptive, nonlinear control of a third-order Duffing-Holmes type chaotic oscillator
A general tracking problem is formulated and solved for a third-order Duffing-Holmes type chaotic oscillator implemented as an electronic circuit with unknown parameters. Two nonlinear controllers, based on adaptive backstepping techniques, are derived and compared. Both are sufficiently robust and accurate for practical implementation. The same approach may be used for chaos stabilization and synchronization.