%0 Journal Article %T 多智能体系统通信拓扑最优设计<br>The optimal design for interaction topology of multi-agent systems %A 袁玩贵 %A 屈百达 %J 控制理论与应用 %D 2016 %R 10.7641/CTA.2016.50468 %X 运用控制理论, 矩阵论及最小二乘等理论, 研究了多智能体系统的分组一致性与系统通信拓扑图的拉普拉 斯矩阵属于特征值0的特征向量之间的关系. 给出了在线性协议控制下, 系统达到一致性和分组一致性, 其通信拓扑 的设计方法. 提出了一阶多智能体系统的总能量概念, 并得到了系统在能量最省时通信拓扑的最优设计. 仿真实例 佐证本文主要结论的正确性.<br>Based on graph theory, matrix theory and least square theory, the relationship is studied between the group consistency and the eigenvectors of Laplacian matrix associated with eigenvalue 0 for multi-agent systems. To obtain the consensus or group consistency, a design method for unidirectional information exchange topologies is provided based on the linear control protocol. The total energy is defined about the one-order multi-agent systems. And a optimal design is proposed so that the system energy is minimum. Simulation results are given to illustrate the effectiveness of theoretical results. %K 多智能体系统 一致性 分组一致性 通信拓扑 系统能量 最优设计< %K br> %K multi-agent systems consensus group consistency interaction topology system energy optimal design %U http://jcta.alljournals.ac.cn/cta_cn/ch/reader/view_abstract.aspx?file_no=CCTA150468&flag=1