Fixed‐Time Synchronization of a Class of Second‐Order Nonlinear Leader‐Following Multi‐Agent Systems |
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Authors: | Hua Li Ming Zhu Zhaobi Chu Haibo Du Guanghui Wen Naif D. Alotaibi |
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Affiliation: | 1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China;2. Department of Mathematics, Southeast University, Nanjing, Jiangsu 210096, China;3. Department of Electrical and Computer Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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Abstract: | 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. |
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Keywords: | Fixed‐time synchronization finite‐time control nonlinear systems multi‐agent systems |
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