{"title":"Optimal Control Problem for Linear System Based on Adaptive Dynamics Programming and Gradient Descent Method","authors":"Yanzhi Wu, Lu Liu","doi":"10.1109/ICICIP53388.2021.9642163","DOIUrl":null,"url":null,"abstract":"The optimal control problem is investigated for linear system with unknown dynamics in this paper. For linear system, adaptive dynamic programming (ADP) techniques and gradient descent method are combined to obtain an approximated optimal controller. We design ADP algorithms to calculate the system matrices of the linear system. Based on these calculated system matrices, a gradient descent algorithm is utilized to approximate the optimal feedback control gain. Finally, a numerical example is included for illustration.","PeriodicalId":435799,"journal":{"name":"2021 11th International Conference on Intelligent Control and Information Processing (ICICIP)","volume":"189 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 11th International Conference on Intelligent Control and Information Processing (ICICIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP53388.2021.9642163","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The optimal control problem is investigated for linear system with unknown dynamics in this paper. For linear system, adaptive dynamic programming (ADP) techniques and gradient descent method are combined to obtain an approximated optimal controller. We design ADP algorithms to calculate the system matrices of the linear system. Based on these calculated system matrices, a gradient descent algorithm is utilized to approximate the optimal feedback control gain. Finally, a numerical example is included for illustration.