A non-collocated output tracking problem for a flexible string with tip payload at one end was studied in this paper, which is expected to describe by a wave equation coupled ordinary differential equation (ODE) system. The regulated output and the reference trajectory signal with unknown frequency and amplitude are non-collocated with the boundary control input. An adaptive approach has been developed to determine the unknown frequency of a disturbance by constituting an auxiliary trajectory and an internal model structure. In order to regulate exponential output tracking, the proposed error-based adaptive dynamic compensation controller is employed. Closed-loop stability and well-posedness is established by exploiting the principle of semigroup theory. Finally, simulation experiments are performed to show the proposed scheme is very effective.
{"title":"Output tracking for a flexible string system with unknown harmonic disturbances using adaptive internal model","authors":"Ning Peng, Jun-Jun Liu, Xiao Peng","doi":"10.1002/acs.3867","DOIUrl":"10.1002/acs.3867","url":null,"abstract":"<p>A non-collocated output tracking problem for a flexible string with tip payload at one end was studied in this paper, which is expected to describe by a wave equation coupled ordinary differential equation (ODE) system. The regulated output and the reference trajectory signal with unknown frequency and amplitude are non-collocated with the boundary control input. An adaptive approach has been developed to determine the unknown frequency of a disturbance by constituting an auxiliary trajectory and an internal model structure. In order to regulate exponential output tracking, the proposed error-based adaptive dynamic compensation controller is employed. Closed-loop stability and well-posedness is established by exploiting the principle of semigroup theory. Finally, simulation experiments are performed to show the proposed scheme is very effective.</p>","PeriodicalId":50347,"journal":{"name":"International Journal of Adaptive Control and Signal Processing","volume":"38 9","pages":"3161-3176"},"PeriodicalIF":3.9,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}