{"title":"柔性连杆机器人的非线性采样控制律","authors":"J. Barbot, B. Maschke, G. Servettaz","doi":"10.1109/ICAR.1991.240461","DOIUrl":null,"url":null,"abstract":"A model of a flexible structure composed of two links, considered as Euler-Bernouilli beams and spatially discretized using the assumed mode method is briefly presented. A continuous-time nonlinear control law is recalled, which decouples nd linearizes the input output behaviour. The implementation of this control law requires the introduction of a digital computer generating a sampled control law. Holding the continuous-time control during each sampling interval leads, in the case considered here, to the loss of the stability properties. Therefore different nonlinear discrete-time control laws are used: they are based on discretization procedures obtained by means of the exponential of formal Lie derivatives.<<ETX>>","PeriodicalId":356333,"journal":{"name":"Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments","volume":"16 26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Nonlinear sampled control laws of a robot with flexible links\",\"authors\":\"J. Barbot, B. Maschke, G. Servettaz\",\"doi\":\"10.1109/ICAR.1991.240461\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A model of a flexible structure composed of two links, considered as Euler-Bernouilli beams and spatially discretized using the assumed mode method is briefly presented. A continuous-time nonlinear control law is recalled, which decouples nd linearizes the input output behaviour. The implementation of this control law requires the introduction of a digital computer generating a sampled control law. Holding the continuous-time control during each sampling interval leads, in the case considered here, to the loss of the stability properties. Therefore different nonlinear discrete-time control laws are used: they are based on discretization procedures obtained by means of the exponential of formal Lie derivatives.<<ETX>>\",\"PeriodicalId\":356333,\"journal\":{\"name\":\"Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments\",\"volume\":\"16 26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-06-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICAR.1991.240461\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICAR.1991.240461","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonlinear sampled control laws of a robot with flexible links
A model of a flexible structure composed of two links, considered as Euler-Bernouilli beams and spatially discretized using the assumed mode method is briefly presented. A continuous-time nonlinear control law is recalled, which decouples nd linearizes the input output behaviour. The implementation of this control law requires the introduction of a digital computer generating a sampled control law. Holding the continuous-time control during each sampling interval leads, in the case considered here, to the loss of the stability properties. Therefore different nonlinear discrete-time control laws are used: they are based on discretization procedures obtained by means of the exponential of formal Lie derivatives.<>