Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control
In this work, the consensus problem of fractional-order multiagent systems with the general linear model of fixed topology is studied. Both distributed PDα-type and Dα-type fractional-order iterative learning control (FOILC) algorithms are proposed. Here, a virtual leader is introduced to generate t...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/2192168 |
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| _version_ | 1832550196425261056 |
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| author | Shuaishuai Lv Mian Pan Xungen Li Qi Ma Tianyi Lan Bingqiang Li Wenyu Cai |
| author_facet | Shuaishuai Lv Mian Pan Xungen Li Qi Ma Tianyi Lan Bingqiang Li Wenyu Cai |
| author_sort | Shuaishuai Lv |
| collection | DOAJ |
| description | In this work, the consensus problem of fractional-order multiagent systems with the general linear model of fixed topology is studied. Both distributed PDα-type and Dα-type fractional-order iterative learning control (FOILC) algorithms are proposed. Here, a virtual leader is introduced to generate the desired trajectory, fixed communication topology is considered, and only a subset of followers can access the desired trajectory. The convergence conditions are proved using graph theory, fractional calculus, and λ norm theory. The theoretical analysis shows that the output of each agent completely tracks the expected trajectory in a limited time as the iteration number increases for both PDα-type and Dα-type FOILC algorithms. Extensive numerical simulations are given to demonstrate the feasibility and effectiveness. |
| format | Article |
| id | doaj-art-21f6bed223fa441289e5c80946b7c78f |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-21f6bed223fa441289e5c80946b7c78f2025-02-03T06:07:23ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/21921682192168Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning ControlShuaishuai Lv0Mian Pan1Xungen Li2Qi Ma3Tianyi Lan4Bingqiang Li5Wenyu Cai6The College of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaThe College of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaThe College of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaThe College of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an 710129, ChinaThe College of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, ChinaIn this work, the consensus problem of fractional-order multiagent systems with the general linear model of fixed topology is studied. Both distributed PDα-type and Dα-type fractional-order iterative learning control (FOILC) algorithms are proposed. Here, a virtual leader is introduced to generate the desired trajectory, fixed communication topology is considered, and only a subset of followers can access the desired trajectory. The convergence conditions are proved using graph theory, fractional calculus, and λ norm theory. The theoretical analysis shows that the output of each agent completely tracks the expected trajectory in a limited time as the iteration number increases for both PDα-type and Dα-type FOILC algorithms. Extensive numerical simulations are given to demonstrate the feasibility and effectiveness.http://dx.doi.org/10.1155/2019/2192168 |
| spellingShingle | Shuaishuai Lv Mian Pan Xungen Li Qi Ma Tianyi Lan Bingqiang Li Wenyu Cai Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control Complexity |
| title | Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control |
| title_full | Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control |
| title_fullStr | Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control |
| title_full_unstemmed | Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control |
| title_short | Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control |
| title_sort | consensus tracking of fractional order multiagent systems via fractional order iterative learning control |
| url | http://dx.doi.org/10.1155/2019/2192168 |
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