Consensus of Discrete-Time Nonlinear Multiagent Systems Using Sliding Mode Control Based on Optimal Control
This article investigates the optimal sliding mode control approach for consensus of nonlinear discrete-time high-order multi-agent systems (MASs). First, the nonlinearity and communication delay in the MAS is solved by designing a distributed discrete-time integral sliding mode control law, togethe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9766126/ |
| _version_ | 1828791711298486272 |
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| author | Lin Yuan Jinna Li |
| author_facet | Lin Yuan Jinna Li |
| author_sort | Lin Yuan |
| collection | DOAJ |
| description | This article investigates the optimal sliding mode control approach for consensus of nonlinear discrete-time high-order multi-agent systems (MASs). First, the nonlinearity and communication delay in the MAS is solved by designing a distributed discrete-time integral sliding mode control law, together with a proof of reachability of the sliding mode surface, as well as a proof that the chattering of the system is attenuated. In addition, the optimal controller is designed based on the model obtained after the distributed sliding mode control law is applied to the system. The merits of the proposed distributed sliding mode controller with the fusion of optimal control are that it can reduce the chattering of the MASs and their existence of quasi-sliding modes, as well as tolerate the negative impact caused by communication delay among agents. The MASs can achieve consensus quickly with the combined action of the sliding mode controller and the optimal controller. Finally, two examples are given to verify the effectiveness of the control method proposed in this paper. |
| first_indexed | 2024-12-12T02:55:38Z |
| format | Article |
| id | doaj.art-6621886709eb409d9153f7aeebec71c4 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-12T02:55:38Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6621886709eb409d9153f7aeebec71c42022-12-22T00:40:47ZengIEEEIEEE Access2169-35362022-01-0110472754728310.1109/ACCESS.2022.31718259766126Consensus of Discrete-Time Nonlinear Multiagent Systems Using Sliding Mode Control Based on Optimal ControlLin Yuan0https://orcid.org/0000-0003-3092-977XJinna Li1https://orcid.org/0000-0001-9985-6308School of Information and Control Engineering, Liaoning Petrochemical University, Fushun, ChinaSchool of Information and Control Engineering, Liaoning Petrochemical University, Fushun, ChinaThis article investigates the optimal sliding mode control approach for consensus of nonlinear discrete-time high-order multi-agent systems (MASs). First, the nonlinearity and communication delay in the MAS is solved by designing a distributed discrete-time integral sliding mode control law, together with a proof of reachability of the sliding mode surface, as well as a proof that the chattering of the system is attenuated. In addition, the optimal controller is designed based on the model obtained after the distributed sliding mode control law is applied to the system. The merits of the proposed distributed sliding mode controller with the fusion of optimal control are that it can reduce the chattering of the MASs and their existence of quasi-sliding modes, as well as tolerate the negative impact caused by communication delay among agents. The MASs can achieve consensus quickly with the combined action of the sliding mode controller and the optimal controller. Finally, two examples are given to verify the effectiveness of the control method proposed in this paper.https://ieeexplore.ieee.org/document/9766126/Sliding mode controloptimal controlnonlinear multi-agent systemhigh-order consensuscommunication delay |
| spellingShingle | Lin Yuan Jinna Li Consensus of Discrete-Time Nonlinear Multiagent Systems Using Sliding Mode Control Based on Optimal Control IEEE Access Sliding mode control optimal control nonlinear multi-agent system high-order consensus communication delay |
| title | Consensus of Discrete-Time Nonlinear Multiagent Systems Using Sliding Mode Control Based on Optimal Control |
| title_full | Consensus of Discrete-Time Nonlinear Multiagent Systems Using Sliding Mode Control Based on Optimal Control |
| title_fullStr | Consensus of Discrete-Time Nonlinear Multiagent Systems Using Sliding Mode Control Based on Optimal Control |
| title_full_unstemmed | Consensus of Discrete-Time Nonlinear Multiagent Systems Using Sliding Mode Control Based on Optimal Control |
| title_short | Consensus of Discrete-Time Nonlinear Multiagent Systems Using Sliding Mode Control Based on Optimal Control |
| title_sort | consensus of discrete time nonlinear multiagent systems using sliding mode control based on optimal control |
| topic | Sliding mode control optimal control nonlinear multi-agent system high-order consensus communication delay |
| url | https://ieeexplore.ieee.org/document/9766126/ |
| work_keys_str_mv | AT linyuan consensusofdiscretetimenonlinearmultiagentsystemsusingslidingmodecontrolbasedonoptimalcontrol AT jinnali consensusofdiscretetimenonlinearmultiagentsystemsusingslidingmodecontrolbasedonoptimalcontrol |