{"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}
引用次数: 1
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.<>
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