{"title":"椭圆摆的时间优化运动","authors":"O. Kayumov","doi":"10.1109/STAB49150.2020.9140628","DOIUrl":null,"url":null,"abstract":"The problem of the optimal speed of horizontal movement of the pendulum on the trolley (at the required distance from the lower state of equilibrium to a similar one) under the action of one limited control force applied to the trolley is solved. For different mass ratios, trajectories that satisfy the necessary optimality conditions, are constructed numerically.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Time-optimal movement of an elliptical pendulum\",\"authors\":\"O. Kayumov\",\"doi\":\"10.1109/STAB49150.2020.9140628\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of the optimal speed of horizontal movement of the pendulum on the trolley (at the required distance from the lower state of equilibrium to a similar one) under the action of one limited control force applied to the trolley is solved. For different mass ratios, trajectories that satisfy the necessary optimality conditions, are constructed numerically.\",\"PeriodicalId\":166223,\"journal\":{\"name\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"36 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STAB49150.2020.9140628\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB49150.2020.9140628","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The problem of the optimal speed of horizontal movement of the pendulum on the trolley (at the required distance from the lower state of equilibrium to a similar one) under the action of one limited control force applied to the trolley is solved. For different mass ratios, trajectories that satisfy the necessary optimality conditions, are constructed numerically.