{"title":"跳跃机器人在飞行阶段的不连续反馈镇定","authors":"F. Rehman","doi":"10.1109/INMIC.2001.995335","DOIUrl":null,"url":null,"abstract":"A systematic approach to the construction of feedback control for set point stabilization is presented for a model of a hopping robot in flight phase. The feedback controls are piece-wise constant and the method relies on the construction of a Lyapunov function. This Lyapunov function is a sum of two semi-positive definite functions, which are determined by using Lie algebraic methods and Frobenius theorem. The constructed Lyapunov function decreases in an average sense.","PeriodicalId":286459,"journal":{"name":"Proceedings. IEEE International Multi Topic Conference, 2001. IEEE INMIC 2001. Technology for the 21st Century.","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Discontinuous feedback stabilization of a hopping robot in flight phase\",\"authors\":\"F. Rehman\",\"doi\":\"10.1109/INMIC.2001.995335\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A systematic approach to the construction of feedback control for set point stabilization is presented for a model of a hopping robot in flight phase. The feedback controls are piece-wise constant and the method relies on the construction of a Lyapunov function. This Lyapunov function is a sum of two semi-positive definite functions, which are determined by using Lie algebraic methods and Frobenius theorem. The constructed Lyapunov function decreases in an average sense.\",\"PeriodicalId\":286459,\"journal\":{\"name\":\"Proceedings. IEEE International Multi Topic Conference, 2001. IEEE INMIC 2001. Technology for the 21st Century.\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-12-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. IEEE International Multi Topic Conference, 2001. IEEE INMIC 2001. Technology for the 21st Century.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/INMIC.2001.995335\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. IEEE International Multi Topic Conference, 2001. IEEE INMIC 2001. Technology for the 21st Century.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/INMIC.2001.995335","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Discontinuous feedback stabilization of a hopping robot in flight phase
A systematic approach to the construction of feedback control for set point stabilization is presented for a model of a hopping robot in flight phase. The feedback controls are piece-wise constant and the method relies on the construction of a Lyapunov function. This Lyapunov function is a sum of two semi-positive definite functions, which are determined by using Lie algebraic methods and Frobenius theorem. The constructed Lyapunov function decreases in an average sense.