Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances
In this paper, the leader-following consensus of second-order nonlinear multiagent systems (SONMASs) with external disturbances is studied. Firstly, based on terminal sliding model control method, a distributed control protocol is proposed over undirected networks, which can not only suppress the e...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2022-10-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/29471 |
| _version_ | 1797991217028399104 |
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| author | Xue Li Zhiyong Yu Da Huang Haijun Jiang |
| author_facet | Xue Li Zhiyong Yu Da Huang Haijun Jiang |
| author_sort | Xue Li |
| collection | DOAJ |
| description |
In this paper, the leader-following consensus of second-order nonlinear multiagent systems (SONMASs) with external disturbances is studied. Firstly, based on terminal sliding model control method, a distributed control protocol is proposed over undirected networks, which can not only suppress the external disturbances, but also make the SONMASs achieve consensus in finite time. Secondly, to make the settling time independent of the initial values of systems, we improve the protocol and ensure that the SONMASs can reach the sliding surface and achieve consensus in fixed time if the control parameters satisfy some conditions. Moreover, for general directed networks, we design a new fixed-time control protocol and prove that both the sliding mode surface and consensus for SONMASs can be reached in fixed time. Finally, several numerical simulations are given to show the effectiveness of the proposed protocols.
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| first_indexed | 2024-04-11T08:48:55Z |
| format | Article |
| id | doaj.art-ac3c285f0a464c3b94b4d83824c68105 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-11T08:48:55Z |
| publishDate | 2022-10-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-ac3c285f0a464c3b94b4d83824c681052022-12-22T04:33:51ZengVilnius University PressNonlinear Analysis1392-51132335-89632022-10-0127610.15388/namc.2022.27.29471Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbancesXue Li0Zhiyong Yu1Da Huang2Haijun Jiang3Xinjiang UniversityXinjiang UniversityXinjiang Institute of EngineeringXinjiang University In this paper, the leader-following consensus of second-order nonlinear multiagent systems (SONMASs) with external disturbances is studied. Firstly, based on terminal sliding model control method, a distributed control protocol is proposed over undirected networks, which can not only suppress the external disturbances, but also make the SONMASs achieve consensus in finite time. Secondly, to make the settling time independent of the initial values of systems, we improve the protocol and ensure that the SONMASs can reach the sliding surface and achieve consensus in fixed time if the control parameters satisfy some conditions. Moreover, for general directed networks, we design a new fixed-time control protocol and prove that both the sliding mode surface and consensus for SONMASs can be reached in fixed time. Finally, several numerical simulations are given to show the effectiveness of the proposed protocols. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/29471multiagent systemssliding mode controlconsensusexternal disturbancesfinite timefixed time |
| spellingShingle | Xue Li Zhiyong Yu Da Huang Haijun Jiang Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances Nonlinear Analysis multiagent systems sliding mode control consensus external disturbances finite time fixed time |
| title | Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances |
| title_full | Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances |
| title_fullStr | Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances |
| title_full_unstemmed | Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances |
| title_short | Finite-time and fixed-time sliding mode control for second-order nonlinear multiagent systems with external disturbances |
| title_sort | finite time and fixed time sliding mode control for second order nonlinear multiagent systems with external disturbances |
| topic | multiagent systems sliding mode control consensus external disturbances finite time fixed time |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/29471 |
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