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arXiv · 2406.07031

Arbitrary-Order Distributed Finite-Time Differentiator for Multi-Agent Systems

Weile Chen·Haibo Du·Shihua Li·Xinghuo Yu
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Abstract

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.

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Weile Chen, Haibo Du, Shihua Li, Xinghuo Yu. 2024-06-13. Arbitrary-Order Distributed Finite-Time Differentiator for Multi-Agent Systems. https://arxiv.org/abs/2406.07031

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