论文标题
关于线性互连多代理系统和同时稳定的共识
On Consensusability of Linear Interconnected Multi-Agent Systems and Simultaneous Stabilization
论文作者
论文摘要
多代理系统（MASS）的共识证明，存在分布式控制器的存在，能够将每个子系统的状态驱动到共识值。我们研究了线性互连质量（极端）的共识性，在这种情况下，与几个现实世界应用中，子系统在物理上都是物理耦合的。我们表明，共识性与多个LTI系统的同时稳定性有关，并以线性程序的形式呈现出新颖的条件，用于验证该属性。我们还根据子系统矩阵的参数以及物理和通信图拉普拉奇人的特征值的参数，得出了几种必需和足够的共识条件。结果表明，子系统之间的弱物理耦合以及密度连接的物理和通信图有利于共识。最后，我们通过模拟超级电容器和直流微电网的网络来验证结果。
Consensusability of multi-agent systems (MASs) certifies the existence of a distributed controller capable of driving the states of each subsystem to a consensus value. We study the consensusability of linear interconnected MASs (LIMASs) where, as in several real-world applications, subsystems are physically coupled. We show that consensusability is related to the simultaneous stabilizability of multiple LTI systems, and present a novel sufficient condition in form of a linear program for verifying this property. We also derive several necessary and sufficient consensusability conditions for LIMASs in terms of parameters of the subsystem matrices and the eigenvalues of the physical and communication graph Laplacians. The results show that weak physical couplings among subsystems and densely-connected physical and communication graphs are favorable for consensusability. Finally, we validate our results through simulations of networks of supercapacitors and DC microgrids.
