随机多智能体系统的一致性及优化控制

项目名称： 随机多智能体系统的一致性及优化控制

项目编号： No.61304155

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 自动化技术、计算机技术

项目作者： 莫立坡

作者单位： 北京工商大学

项目金额： 24万元

中文摘要： 随机多智能体系统的一致性问题是目前系统与控制研究的热点之一。近些年，主要针对用一阶和二阶积分器描述的随机多智能体系统进行研究，主要研究拓扑结构随机切换系统的一致性问题。关于基于一般线性动力学的随机多智能体系统的研究非常少，并且大部分结果都没有考虑有限时间一致性问题，最优控制问题以及时滞对系统的影响。本项目拟研究一般动态多多智能体系统的一致性问题及H无穷一致性问题、有限时间一致性问题和最优控制问题。分别针对拓扑结构随机切换、存在随机干扰、智能体个数变化及存在信息传输时滞等情况，设计不同的控制协议，利用随机分析、随机图、随机稳定性、随机最优控制理论和鲁棒控制等，研究系统的一致性问题、H无穷一致性问题、有限时间一致性问题和最优控制问题。最后，利用计算机仿真实验验证所得结果的合理性。本项目是目前人们研究多智能体系统一致问题的自然深入和发展，具有明显的特色和创新性。

中文关键词： 多智能体系统；随机控制；鲁棒控制；有限时间控制；优化控制

英文摘要： The problem of consensus for stochastic multi-agent systems is one hot problems of systems and control research at present. Until now relative research mainly focus at stochastic multi-agent systems modeled by first-order and second-order integral system, and the major research is the problem of consensus for systems with random switching topologies. There has been very little research on stochastic multi-agent systems modeled by general linear dynamics, and most research did not consider problems of finite-time consensus and optimal control, and the time-delay impacts on the system. The project plans to reaserch consensus problems, H-infinity consensus problems, finite-time consensus problems and optimal control problems for general dynamic multi-agent systems. For random switching topologies, the existence of stochastic disturbance, the changes of the number of agents and the existence of the time-delay for information transmission, different protocols will be designed, and then the consensus problems will be investigated by stochastic analysis, random graph, stochastic stability, random optimal control theory, robust control theory and so on. Finally, the reasonability of the obtained results will be verifief by computer simulation experiment. The project is deepening and develops of the research on consensu

英文关键词： multi-agent systems；stochastic control；robust control；finite-time control；optimal control