Arbitrary-Order Distributed Finite-Time Differentiator for Multi-Agent Systems
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914833425760256 |
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| author | Chen, Weile Du, Haibo Li, Shihua Yu, Xinghuo |
| author_facet | Chen, Weile Du, Haibo Li, Shihua Yu, Xinghuo |
| contents | This paper proposes arbitrary-order distributed finite-time differentiator (AODFD) for leader-follower multi-agent systems (MAS) under directed graph by only using relative or absolute output information. By using arbitrary-order distributed finite-time differentiator via relative output information (AODFD-R), each follower agent can obtain the relative output information between itself and leader and the relative output's arbitrary-order derivatives, where the information to be measured is only the local relative output information between each follower agent and its neighboring agents. As a simple extension of AODFD-R, the arbitrary-order distributed finite-time differentiator via absolute output information (AODFD-A) is also given. The finite-time stability of the closed-loop system under AODFD is proved by constructing a Lyapunov function skillfully. Finally, several simulation examples are given to verify the effectiveness of the AODFD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07031 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arbitrary-Order Distributed Finite-Time Differentiator for Multi-Agent Systems Chen, Weile Du, Haibo Li, Shihua Yu, Xinghuo Multiagent Systems This paper proposes arbitrary-order distributed finite-time differentiator (AODFD) for leader-follower multi-agent systems (MAS) under directed graph by only using relative or absolute output information. By using arbitrary-order distributed finite-time differentiator via relative output information (AODFD-R), each follower agent can obtain the relative output information between itself and leader and the relative output's arbitrary-order derivatives, where the information to be measured is only the local relative output information between each follower agent and its neighboring agents. As a simple extension of AODFD-R, the arbitrary-order distributed finite-time differentiator via absolute output information (AODFD-A) is also given. The finite-time stability of the closed-loop system under AODFD is proved by constructing a Lyapunov function skillfully. Finally, several simulation examples are given to verify the effectiveness of the AODFD. |
| title | Arbitrary-Order Distributed Finite-Time Differentiator for Multi-Agent Systems |
| topic | Multiagent Systems |
| url | https://arxiv.org/abs/2406.07031 |