H-infinity group consensus of linear dynamical systems under directed switching topology
H-infinity group consensus of linear dynamical systems under directed switching topology
复制标题
定向开关拓扑下线性动力系统的H无穷群共识
DOI：
10.1002/rnc.5139
复制
发表时间：
2020
影响因子：
3.9
通讯作者：
Sun Changyin
中科院分区：
文献类型：
--
作者：
Ren Lu;Liu Jian;Sun Changyin
本文研究了具有有向切换拓扑和外部扰动的线性动力系统的H ∞群一致性问题。多智能体系统（MAS）的H ∞群体一致性问题是一个复杂的问题，因为来自不同簇的智能体可能是合作的，也可能是竞争的.结合代数图论和李雅普诺夫稳定性理论，首先分析了具有期望H ∞性能的群体一致性的稳定性，然后建立了实现H ∞群体一致性的充分条件。这个充分条件是根据群内耦合的强度和代数Riccati方程的解导出的，如果MAS是用有界L2增益状态反馈稳定的，则可以保证其可解性。此外，明确规定了簇间耦合强度和停留时间的下限。最后通过数值算例验证了理论结果的有效性。
This brief investigates theH∞group consensus problem for linear dynamical systems with directed switching topology and external disturbance. TheH∞group consensus problem for multiagent systems (MASs) is complicated since the agents from different clusters may be cooperative or competitive. By using together algebraic graph theory and Lyapunov stability theory, we first analyze the stability of group consensus with desiredH∞performance, and then establish a sufficient condition to achieve theH∞group consensus. This sufficient condition is derived in terms of the strengths of intra‐cluster couplings and the solution to an algebraic Riccati equation, whose solvability can be guaranteed if the MAS is state feedback stabilized with a boundedL2gain. Moreover, the lower bound of the inter‐cluster coupling strength and dwell time are explicitly specified. Finally, the effectiveness of the theoretical results is verified by a numerical example.