Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay
This paper considers the consensus control problem of nonlinear spatial-temporal hyperbolic partial difference multiagent systems and parabolic partial difference multiagent systems with time delay. Based on the system’s own fixed topology and the method of generating the desired trajectory by intro...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/8886945 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560096331169792 |
|---|---|
| author | Cun Wang Xisheng Dai Kene Li Zupeng Zhou |
| author_facet | Cun Wang Xisheng Dai Kene Li Zupeng Zhou |
| author_sort | Cun Wang |
| collection | DOAJ |
| description | This paper considers the consensus control problem of nonlinear spatial-temporal hyperbolic partial difference multiagent systems and parabolic partial difference multiagent systems with time delay. Based on the system’s own fixed topology and the method of generating the desired trajectory by introducing virtual leader, using the consensus tracking error between the agent and the virtual leader agent and neighbor agents in the last iteration, an iterative learning algorithm is proposed. The sufficient condition for the system consensus error to converge along the iterative axis is given. When the iterative learning number k approaches infinity, the consensus error in the sense of the L2 norm between all agents in the system will converge to zero. Furthermore, simulation results illustrate the effectiveness of the algorithm. |
| format | Article |
| id | doaj-art-2ec8b7aefa1247d7854fa9bcdb4de465 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-2ec8b7aefa1247d7854fa9bcdb4de4652025-02-03T01:28:24ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/88869458886945Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time DelayCun Wang0Xisheng Dai1Kene Li2Zupeng Zhou3Guangxi University of Science and Technology, Liuzhou, ChinaGuangxi University of Science and Technology, Liuzhou, ChinaGuangxi University of Science and Technology, Liuzhou, ChinaGuilin University of Electronic Technology, Guilin, ChinaThis paper considers the consensus control problem of nonlinear spatial-temporal hyperbolic partial difference multiagent systems and parabolic partial difference multiagent systems with time delay. Based on the system’s own fixed topology and the method of generating the desired trajectory by introducing virtual leader, using the consensus tracking error between the agent and the virtual leader agent and neighbor agents in the last iteration, an iterative learning algorithm is proposed. The sufficient condition for the system consensus error to converge along the iterative axis is given. When the iterative learning number k approaches infinity, the consensus error in the sense of the L2 norm between all agents in the system will converge to zero. Furthermore, simulation results illustrate the effectiveness of the algorithm.http://dx.doi.org/10.1155/2021/8886945 |
| spellingShingle | Cun Wang Xisheng Dai Kene Li Zupeng Zhou Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay Complexity |
| title | Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay |
| title_full | Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay |
| title_fullStr | Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay |
| title_full_unstemmed | Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay |
| title_short | Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay |
| title_sort | iterative learning consensus control for nonlinear partial difference multiagent systems with time delay |
| url | http://dx.doi.org/10.1155/2021/8886945 |
| work_keys_str_mv | AT cunwang iterativelearningconsensuscontrolfornonlinearpartialdifferencemultiagentsystemswithtimedelay AT xishengdai iterativelearningconsensuscontrolfornonlinearpartialdifferencemultiagentsystemswithtimedelay AT keneli iterativelearningconsensuscontrolfornonlinearpartialdifferencemultiagentsystemswithtimedelay AT zupengzhou iterativelearningconsensuscontrolfornonlinearpartialdifferencemultiagentsystemswithtimedelay |