Exponential finite-time consensus of fractional-order multi-agent systems
Huiyang Liu; Long Cheng; Min Tan; Zeng-Guang Hou
发表期刊IEEE Transactions on Systems, Man, and Cybernetics: Systems
2018
摘要The application of the fast sliding-mode control technique on solving consensus problems of fractional-order multiagent systems is investigated. The design and analysis are based on a combination of the distributed coordination theory and the knowledge of fractional-order dynamics. First, a sliding-mode manifold (surface) vector is defined, and then the fractional-order multiagent system is transformed into an integer-order (namely, first-order) multiagent system. Second, based on the fast sliding-mode control technique, a protocol is proposed for the obtained first-order multiagent system. Third, a new Lyapunov function is presented. By suitably estimating the derivative of the Lyapunov function, the reachability of the sliding-mode manifold is derived. It is proved that the exponential finite-time consensus can be achieved if the communication network has a directed spanning tree. Finally, the effectiveness of the proposed algorithms is demonstrated by some examples.
关键词Directed network topology exponential finitetime consensus fast sliding-mode algorithms fractional-order dynamics multiagent systems
DOI10.1109/TSMC.2018.2816060
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/23170
专题复杂系统管理与控制国家重点实验室_先进机器人
推荐引用方式
GB/T 7714
Huiyang Liu,Long Cheng,Min Tan,et al. Exponential finite-time consensus of fractional-order multi-agent systems[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems,2018.
APA Huiyang Liu,Long Cheng,Min Tan,&Zeng-Guang Hou.(2018).Exponential finite-time consensus of fractional-order multi-agent systems.IEEE Transactions on Systems, Man, and Cybernetics: Systems.
MLA Huiyang Liu,et al."Exponential finite-time consensus of fractional-order multi-agent systems".IEEE Transactions on Systems, Man, and Cybernetics: Systems (2018).
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