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Fixed‐Time Synchronization of a Class of Second‐Order Nonlinear Leader‐Following Multi‐Agent Systems
Author(s) -
Li Hua,
Zhu Ming,
Chu Zhaobi,
Du Haibo,
Wen Guanghui,
Alotaibi Naif D.
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1585
Subject(s) - control theory (sociology) , nonlinear system , observer (physics) , integrator , synchronization (alternating current) , multi agent system , computer science , controller (irrigation) , tracking (education) , fixed point , mathematics , control (management) , artificial intelligence , psychology , computer network , pedagogy , channel (broadcasting) , mathematical analysis , physics , bandwidth (computing) , quantum mechanics , agronomy , biology
The fixed‐time synchronization problem for a class of second‐order nonlinear multi‐agent systems with a leader‐follower architecture is investigated in this paper. To achieve the fixed‐time tracking task, the design procedure is divided into two steps. At the first step, a distributed fixed‐time observer is designed for each agent to estimate the leader's state in a fixed time. Then, at the second step, based on the technique of adding a power integrator, a fixed‐time tracking controller for each agent is proposed such that the estimate leader's state can be tracked in a fixed time. Finally, an observer‐based fixed‐time controller is developed such that the leader can be tracked by all the followers in a fixed time, which can be predetermined. Simulations are presented to verify the effectiveness of the proposed approach.