不连续耦合多智能体时滞网络化系统的协调控制

项目名称： 不连续耦合多智能体时滞网络化系统的协调控制

项目编号： No.61203006

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 自动化学科

项目作者： 吴泉军

作者单位： 上海电力学院

项目金额： 25万元

中文摘要： 在过去的十几年里，网络化系统的控制取得了飞速的发展，并推动了与之相关领域的研究与应用。本项目针对现有多智能体网络化系统协调控制协议(算法)的保守性，将非光滑动力系统理论、现代控制理论及时滞动力系统理论三种科学理论有机的结合起来，研究不连续耦合多智能体时滞网络化系统的协调控制问题。其目标是：构建能更精确地刻画现实世界中多智能体网络化系统模型；采用矩阵论、代数图论、Lyapunov-Krasovskii函数、频率分析法、鲁棒控制以及一些不连续控制方法给出适合上述模型的分析和设计方法；分别得到一阶、二阶(含引导者和无引导者)网络系统达到协调的条件，并将网络拓扑推广到随机切换的情形，进一步讨论在时滞、系统参数和网络结构扰动下合作行为与协调控制的鲁棒性。通过上述研究，探索这种网络系统智能体间不连续连接的数学物理机制；最终，达到为网络化系统的协调控制进一步的理论研究、实验验证和实际应用奠定基础。

中文关键词： 多智能体网络系统；调和振子；协调控制；瞬时耦合；输入时滞和通讯时滞

英文摘要： During the last few decades, the rapid development of control in networked systems has promoted widespread research and its applications in related fields. To overcome the conservatism in the existing protocols (algorithms) in the cooperative control for networked multi-agent systems, this project studies the issues of cooperative control in the delayed networked multi-agent systems with discontinuous interaction by combining the nonsmooth dynamic system theory, the modem control theory, and the delay dynamic system theory. The main research topics are as follows: Firstly, this study constructs models which can more accurately depict the networked multi-agent systems in the real world. Secondly, we provide convergence analysis for such first and second order models with and without a leader over fixed directed network topologies, respectively; we establish the conditions in which the agents achieve cooperativeness under discontinuous network connectivity, and then extend network topologies to the stochastic switching communication graphs. Finally, we analyze the robustness of coordinated behavior and cooperative control in the presence of the disturbance of time delays, system parameters and network structures. Based on the above results, we explore the mechanism of mathematical physics among the agents in the n

英文关键词： Networked Multi-Agent System；Harmonic Oscillator；Cooperative Control；Instantaneous Coupling；Input Delays And Communication Delays