Distributed Coordination of Networked Fractional-Order Systems
Distributed Coordination of Networked Fractional-Order Systems
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DOI：
10.1109/tsmcb.2009.2024647
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发表时间：
2010-04-01
影响因子：
--
通讯作者：
Chen, YangQuan
中科院分区：
文献类型：
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作者：
Cao, Yongcan;Li, Yan;Chen, YangQuan
本文研究了在有向相互作用图上的网络分数系统的分布配位。通过总结三种不同的情况来介绍一般的分数阶配位模型：1）带有整数阶配位算法的分数阶代理动力学； 2）具有分数阶配位算法的分数级代理动力学； 3）具有分数阶配位算法的整数阶代理动力学。我们在相互作用图上显示了足够的条件和分数顺序，因此可以使用一般模型来实现协调。还明确给出了协调平衡。此外，我们表征了代理数量与分数顺序之间的关系，以确保协调。此外，我们将分数订单系统的协调速度与整数订单系统的收敛速度进行了比较。结果表明，可以通过随时间变化分数订单来改善分数阶配位算法的收敛速度。最后，将模拟结果作为概念证明。
This paper studies the distributed coordination of networked fractional-order systems over a directed interaction graph. A general fractional-order coordination model is introduced by summarizing three different cases: 1) fractional-order agent dynamics with integer-order coordination algorithms; 2) fractional-order agent dynamics with fractional-order coordination algorithms; and 3) integer-order agent dynamics with fractional-order coordination algorithms. We show sufficient conditions on the interaction graph and the fractional order such that coordination can be achieved using the general model. The coordination equilibrium is also explicitly given. In addition, we characterize the relationship between the number of agents and the fractional order to ensure coordination. Furthermore, we compare the convergence speed of coordination for fractional-order systems with that for integer-order systems. It is shown that the convergence speed of the fractional-order coordination algorithms can be improved by varying the fractional orders with time. Finally, simulation results are presented as a proof of concept.