Iterative Learning Control Based on Nesterov Accelerated Gradient Method
Based on Nesterov accelerated gradient method, the problem of iterative learning control for a class of linear discrete-time systems is considered in this paper. Firstly, the iterative learning control problem of linear discrete-time systems is transformed into an iterative least-squares problem. Th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8805053/ |
| _version_ | 1818447796068417536 |
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| author | Panpan Gu Senping Tian YangQuan Chen |
| author_facet | Panpan Gu Senping Tian YangQuan Chen |
| author_sort | Panpan Gu |
| collection | DOAJ |
| description | Based on Nesterov accelerated gradient method, the problem of iterative learning control for a class of linear discrete-time systems is considered in this paper. Firstly, the iterative learning control problem of linear discrete-time systems is transformed into an iterative least-squares problem. Then, the Nesterov accelerated gradient method is introduced into the iterative learning control framework. Note that the Nesterov accelerated gradient learning algorithm has the capability of fast convergence. It is shown that the algorithm presented in this paper can guarantee the output tracking error converges to zero with rate O(1/k) , where k is the iteration counter. Moreover, the monotonic convergence of the Nesterov accelerated gradient learning algorithm is analyzed and discussed. Finally, the effectiveness of the proposed method is verified by two simulation examples. |
| first_indexed | 2024-12-14T20:09:18Z |
| format | Article |
| id | doaj.art-49856b5fbc4c4625bd820ec15c0e0cc1 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-14T20:09:18Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-49856b5fbc4c4625bd820ec15c0e0cc12022-12-21T22:48:58ZengIEEEIEEE Access2169-35362019-01-01711583611584210.1109/ACCESS.2019.29360448805053Iterative Learning Control Based on Nesterov Accelerated Gradient MethodPanpan Gu0Senping Tian1https://orcid.org/0000-0001-8359-2133YangQuan Chen2School of Automation Science and Engineering, South China University of Technology, Guangzhou, ChinaSchool of Automation Science and Engineering, South China University of Technology, Guangzhou, ChinaSchool of Engineering (MESA-Lab), University of California at Merced, Merced, CA, USABased on Nesterov accelerated gradient method, the problem of iterative learning control for a class of linear discrete-time systems is considered in this paper. Firstly, the iterative learning control problem of linear discrete-time systems is transformed into an iterative least-squares problem. Then, the Nesterov accelerated gradient method is introduced into the iterative learning control framework. Note that the Nesterov accelerated gradient learning algorithm has the capability of fast convergence. It is shown that the algorithm presented in this paper can guarantee the output tracking error converges to zero with rate O(1/k) , where k is the iteration counter. Moreover, the monotonic convergence of the Nesterov accelerated gradient learning algorithm is analyzed and discussed. Finally, the effectiveness of the proposed method is verified by two simulation examples.https://ieeexplore.ieee.org/document/8805053/Iterative learning controlNesterov accelerated gradient methodmonotonic convergencelearning algorithm |
| spellingShingle | Panpan Gu Senping Tian YangQuan Chen Iterative Learning Control Based on Nesterov Accelerated Gradient Method IEEE Access Iterative learning control Nesterov accelerated gradient method monotonic convergence learning algorithm |
| title | Iterative Learning Control Based on Nesterov Accelerated Gradient Method |
| title_full | Iterative Learning Control Based on Nesterov Accelerated Gradient Method |
| title_fullStr | Iterative Learning Control Based on Nesterov Accelerated Gradient Method |
| title_full_unstemmed | Iterative Learning Control Based on Nesterov Accelerated Gradient Method |
| title_short | Iterative Learning Control Based on Nesterov Accelerated Gradient Method |
| title_sort | iterative learning control based on nesterov accelerated gradient method |
| topic | Iterative learning control Nesterov accelerated gradient method monotonic convergence learning algorithm |
| url | https://ieeexplore.ieee.org/document/8805053/ |
| work_keys_str_mv | AT panpangu iterativelearningcontrolbasedonnesterovacceleratedgradientmethod AT senpingtian iterativelearningcontrolbasedonnesterovacceleratedgradientmethod AT yangquanchen iterativelearningcontrolbasedonnesterovacceleratedgradientmethod |