{"title":"基于平衡集的转盘上硬币的控制","authors":"T. Kai","doi":"10.1109/SICE.2006.314988","DOIUrl":null,"url":null,"abstract":"In this paper, we propose new control algorithms for a coin on a rotating table, which we cannot easily control. We first derive the nonholonomic kinematic system with affine constraints (NKSAC) for a coin on a rotating table and show nonlinear control properties of the system. Then, control algorithms which transfer the NKSAC to any equilibrium/nonequilibrium are introduced. Finally, we show simulation results to confirm the effectiveness of our control algorithms","PeriodicalId":309260,"journal":{"name":"2006 SICE-ICASE International Joint Conference","volume":"142 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Control of a Coin on a Rotating Table based on Its Equilibria Set\",\"authors\":\"T. Kai\",\"doi\":\"10.1109/SICE.2006.314988\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose new control algorithms for a coin on a rotating table, which we cannot easily control. We first derive the nonholonomic kinematic system with affine constraints (NKSAC) for a coin on a rotating table and show nonlinear control properties of the system. Then, control algorithms which transfer the NKSAC to any equilibrium/nonequilibrium are introduced. Finally, we show simulation results to confirm the effectiveness of our control algorithms\",\"PeriodicalId\":309260,\"journal\":{\"name\":\"2006 SICE-ICASE International Joint Conference\",\"volume\":\"142 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 SICE-ICASE International Joint Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SICE.2006.314988\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 SICE-ICASE International Joint Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SICE.2006.314988","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Control of a Coin on a Rotating Table based on Its Equilibria Set
In this paper, we propose new control algorithms for a coin on a rotating table, which we cannot easily control. We first derive the nonholonomic kinematic system with affine constraints (NKSAC) for a coin on a rotating table and show nonlinear control properties of the system. Then, control algorithms which transfer the NKSAC to any equilibrium/nonequilibrium are introduced. Finally, we show simulation results to confirm the effectiveness of our control algorithms