Optimality of first-order ILC among higher order ILC
Higher order iterative learning control (HO-ILC) algorithms use past system control information from more than one past iterative cycle. This class of ILC algorithms have been proposed aiming at improving the learning efficiency and performance. This paper addresses the optimality of HO-ILC in the s...
محفوظ في:
| المؤلف الرئيسي: | |
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| التنسيق: | article |
| منشور في: |
2006
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/11177 http://dx.doi.org/10.1109/TAC.2006.878734 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://ieeexplore.ieee.org/abstract/document/1673593 |
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| _version_ | 1864513488338026496 |
|---|---|
| author | Saab, Samer S. |
| author_facet | Saab, Samer S. |
| author_role | author |
| dc.creator.none.fl_str_mv | Saab, Samer S. |
| dc.date.none.fl_str_mv | 2006 2019-07-30T11:19:47Z 2019-07-30T11:19:47Z 2019-07-30 |
| dc.identifier.none.fl_str_mv | 0018-9286 http://hdl.handle.net/10725/11177 http://dx.doi.org/10.1109/TAC.2006.878734 Saab, S. S. (2006). Optimality of first-order ILC among higher order ILC. IEEE Transactions on Automatic Control, 51(8), 1332-1336. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://ieeexplore.ieee.org/abstract/document/1673593 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | IEEE Transactions on Automatic Control |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Optimality of first-order ILC among higher order ILC |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | Higher order iterative learning control (HO-ILC) algorithms use past system control information from more than one past iterative cycle. This class of ILC algorithms have been proposed aiming at improving the learning efficiency and performance. This paper addresses the optimality of HO-ILC in the sense of minimizing the trace of the control error covariance matrix in the presence of a class of uncorrelated random disturbances. It is shown that the optimal weighting matrices corresponding to the control information associated with more than one cycle preceding the current cycle are zero. That is, an optimal HO-ILC does not add to the optimality of standard first-order ILC in the sense of minimizing the trace of the control error covariance matrix. The system under consideration is a linear discrete-time varying systems with different relative degree between the input and each output. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_ae2868cddd9ef44f28c7fd7c80737697 |
| identifier_str_mv | 0018-9286 Saab, S. S. (2006). Optimality of first-order ILC among higher order ILC. IEEE Transactions on Automatic Control, 51(8), 1332-1336. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/11177 |
| publishDate | 2006 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Optimality of first-order ILC among higher order ILCSaab, Samer S.Higher order iterative learning control (HO-ILC) algorithms use past system control information from more than one past iterative cycle. This class of ILC algorithms have been proposed aiming at improving the learning efficiency and performance. This paper addresses the optimality of HO-ILC in the sense of minimizing the trace of the control error covariance matrix in the presence of a class of uncorrelated random disturbances. It is shown that the optimal weighting matrices corresponding to the control information associated with more than one cycle preceding the current cycle are zero. That is, an optimal HO-ILC does not add to the optimality of standard first-order ILC in the sense of minimizing the trace of the control error covariance matrix. The system under consideration is a linear discrete-time varying systems with different relative degree between the input and each output.PublishedN/A2019-07-30T11:19:47Z2019-07-30T11:19:47Z20062019-07-30Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0018-9286http://hdl.handle.net/10725/11177http://dx.doi.org/10.1109/TAC.2006.878734Saab, S. S. (2006). Optimality of first-order ILC among higher order ILC. IEEE Transactions on Automatic Control, 51(8), 1332-1336.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttps://ieeexplore.ieee.org/abstract/document/1673593enIEEE Transactions on Automatic Controlinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/111772021-03-19T10:47:36Z |
| spellingShingle | Optimality of first-order ILC among higher order ILC Saab, Samer S. |
| status_str | publishedVersion |
| title | Optimality of first-order ILC among higher order ILC |
| title_full | Optimality of first-order ILC among higher order ILC |
| title_fullStr | Optimality of first-order ILC among higher order ILC |
| title_full_unstemmed | Optimality of first-order ILC among higher order ILC |
| title_short | Optimality of first-order ILC among higher order ILC |
| title_sort | Optimality of first-order ILC among higher order ILC |
| url | http://hdl.handle.net/10725/11177 http://dx.doi.org/10.1109/TAC.2006.878734 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://ieeexplore.ieee.org/abstract/document/1673593 |