| 引用本文: | 袁玩贵,屈百达.多智能体系统通信拓扑最优设计[J].控制理论与应用,2016,33(2):228~232.[点击复制] |
| YUAN Wan-gui,QU Bai-da.The optimal design for interaction topology of multi-agent systems[J].Control Theory and Technology,2016,33(2):228~232.[点击复制] |
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| 多智能体系统通信拓扑最优设计 |
| The optimal design for interaction topology of multi-agent systems |
| 摘要点击 3177 全文点击 2514 投稿时间：2015-05-29 修订日期：2015-11-27 |
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| DOI编号 10.7641/CTA.2016.50468 |
| 2016,33(2):228-232 |
| 中文关键词 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 |
| 英文关键词 multi-agent systems consensus group consistency interaction topology system energy optimal design |
| 基金项目 |
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| 中文摘要 |
| 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. |
| 英文摘要 |
| 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. |