具有通信时延的多个体网络量化一致性分析  

On quantized consensus for multi-agent networks under communication delays

作　　者：张丹丹[1] 

机构地区：[1]南昌航空大学信息工程学院,江西南昌330063

出　　处：《合肥工业大学学报（自然科学版）》2015年第7期923-928,996,共7页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(61073102);江西省教育厅科技资助项目(Gjj14523)

摘　　要：文章针对一般的固定拓扑有向非平衡网络,研究了个体间存在通信时延的量化一致性问题。每个个体具有离散一阶动力学模型,且个体间基于对数量化信息交互并存在通信时延。利用相关强非周期马尔科夫(Markov)链的收敛结论,证明了只要通信时延有上界,则提出的量化一致性协议是可接受的,且无论对数量化信息多么粗糙,多个体网络最终依指数速度达成β-加权平均一致性。结果揭示了一致性误差上界对对数量化器扇形边界参数β的依赖关系,并用仿真算例验证了该结果。The quantized consensus problem in the presence of communication delays is studied for gen- eral directed unbalanced multi-agent networks with fixed topologies. Each agent is modeled as dis- crete-time first-order dynamics and communicates with its neighbors with delayed logarithmically quantized information. With the help of related convergence results for strongly aperiodic Markov chains, it is proved that, provided the commutation delays are bounded, the proposed protocol is ad- missible for arbitrarily coarse logarithmic quantization and the fl-asyrnptotic weighted average consen- sus can be exponentially achieved. And the bound of the consensus error that depends on the sector bound β of the logarithmic quantizer is obtained. Finally, a simulation example is given to verify the main result of this paper.

关 键 词：多个体网络 一致性协议 对数量化 通信时延 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]