Distributed H ∞ and H 2 consensus control in directed networks
Distributed H ∞ and H 2 consensus control in directed networks
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DOI：
10.1049/iet-cta.2013.0258
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发表时间：
2014-02
影响因子：
2.6
通讯作者：
Jingyao Wang;Z. Duan;Zhongkui Li;G. Wen
中科院分区：
文献类型：
--
作者：
Jingyao Wang;Z. Duan;Zhongkui Li;G. Wen
研究了一类具有有向通信图的线性多智能体系统的H∞一致性问题。为了实现H∞共识，提出了一种新的仅基于相邻代理的相对状态的分布式共识协议。与现有协议相比，本文提出的协议侧重于解决强连接有向网络中的H∞一致性问题。利用代数图论和Lyapunov稳定性分析的工具，从理论上证明了只要合理设计分布式共识协议，具有强连通拓扑的闭环多智能体系统的分布式H∞一致性是可以实现的。然后提出了一个两步算法来构建这样的协议。进一步研究了网络系统的H 2一致性问题。最后，通过数值仿真验证了理论分析的有效性。
In this study, the H ∞ consensus problem of a group of linear multi-agent systems with directed communication graph is addressed. To achieve H ∞ consensus, a new class of distributed consensus protocols based only on the relative states of the neighbouring agents is proposed. Compared with the existing protocols, the one presented in this study focuses on solving the H ∞ consensus problem in strongly connected directed networks. By using tools from algebraic graph theory and Lyapunov stability analysis, it is theoretically shown that distributed H ∞ consensus in the closed-loop multi-agent systems with strongly connected topology can be achieved if the distributed consensus protocol is appropriately designed. A two-step algorithm is then presented to construct such a protocol. The H 2 consensus problem for networked systems is further investigated. Finally, the effectiveness of the theoretical analysis is verified via numerical simulations.