Iterative learning control for a class of discrete-time singular systems
Abstract This paper is concerned with the iterative learning control problem for a class of discrete-time singular systems. According to the characteristics of the systems, a closed-loop PD-type learning algorithm is proposed and the convergence condition of the algorithm is established. It is shown...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1471-8 |
| _version_ | 1818839805418536960 |
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| author | Panpan Gu Senping Tian Qian Liu |
| author_facet | Panpan Gu Senping Tian Qian Liu |
| author_sort | Panpan Gu |
| collection | DOAJ |
| description | Abstract This paper is concerned with the iterative learning control problem for a class of discrete-time singular systems. According to the characteristics of the systems, a closed-loop PD-type learning algorithm is proposed and the convergence condition of the algorithm is established. It is shown that the algorithm can guarantee the system output converges to the desired trajectory on the whole time interval. Moreover, the presented algorithm is also suitable for discrete-time singular systems with state delay. Finally, the validity of the presented algorithm is verified by two numerical examples. |
| first_indexed | 2024-12-19T04:00:08Z |
| format | Article |
| id | doaj.art-9fb74c1a08294ad4be726f1a73ed15bb |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-19T04:00:08Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-9fb74c1a08294ad4be726f1a73ed15bb2022-12-21T20:36:42ZengSpringerOpenAdvances in Difference Equations1687-18472018-01-012018111410.1186/s13662-018-1471-8Iterative learning control for a class of discrete-time singular systemsPanpan Gu0Senping Tian1Qian Liu2School of Automation Science and Engineering, South China University of TechnologySchool of Automation Science and Engineering, South China University of TechnologySchool of Automation Science and Engineering, South China University of TechnologyAbstract This paper is concerned with the iterative learning control problem for a class of discrete-time singular systems. According to the characteristics of the systems, a closed-loop PD-type learning algorithm is proposed and the convergence condition of the algorithm is established. It is shown that the algorithm can guarantee the system output converges to the desired trajectory on the whole time interval. Moreover, the presented algorithm is also suitable for discrete-time singular systems with state delay. Finally, the validity of the presented algorithm is verified by two numerical examples.http://link.springer.com/article/10.1186/s13662-018-1471-8iterative learning controldiscrete-time singular systemsstate delayconvergence analysis |
| spellingShingle | Panpan Gu Senping Tian Qian Liu Iterative learning control for a class of discrete-time singular systems Advances in Difference Equations iterative learning control discrete-time singular systems state delay convergence analysis |
| title | Iterative learning control for a class of discrete-time singular systems |
| title_full | Iterative learning control for a class of discrete-time singular systems |
| title_fullStr | Iterative learning control for a class of discrete-time singular systems |
| title_full_unstemmed | Iterative learning control for a class of discrete-time singular systems |
| title_short | Iterative learning control for a class of discrete-time singular systems |
| title_sort | iterative learning control for a class of discrete time singular systems |
| topic | iterative learning control discrete-time singular systems state delay convergence analysis |
| url | http://link.springer.com/article/10.1186/s13662-018-1471-8 |
| work_keys_str_mv | AT panpangu iterativelearningcontrolforaclassofdiscretetimesingularsystems AT senpingtian iterativelearningcontrolforaclassofdiscretetimesingularsystems AT qianliu iterativelearningcontrolforaclassofdiscretetimesingularsystems |