关于Lur'e型多智能体系统的群一致性研究

项目名称： 关于Lur'e型多智能体系统的群一致性研究

项目编号： No.61463046

项目类型： 地区科学基金项目

立项/批准年度： 2015

项目学科： 自动化技术、计算机技术

项目作者： 郭凌

作者单位： 西北民族大学

项目金额： 46万元

中文摘要： 多智能体系统群一致性问题是多智能体系统一致性问题的自然推广和延伸。本项目研究复杂通讯网络拓扑结构下，具有Lur'e型动态的一类非线性多智能体系统群一致性问题。利用控制论、代数图论、矩阵论以及Lur'e系统绝对稳定性理论等理论和方法，采用时域分析和频域分析相结合的手段，围绕多智能体系统一致性协调控制中的实际问题展开研究。具体包括：（1）复杂的通讯网络结构下系统的群一致性问题；（2）不确定环境下系统的群一致性问题；（3）时延系统的群一致性问题。基于系统的通讯网络拓扑结构，设计局部群一致性控制协议，给出系统实现群一致性的判定条件，刻画并分析群一致性区域概念。本项目的研究结果可丰富和发展多智能体系统协调控制理论，尤其是对于非线性多智能体系统的研究,生物群体涌现性的深入理解以及工程群体的整体行为控制具有重要意义。

中文关键词： 多智能体系统；Lur'e型非线性动态；群一致性；群一致性区域；绝对稳定性

英文摘要： The group consensus problem of multi-agent systems is the natural extension and development of the consensus in multi-agent systems. Under complex structure of communication network, group consensus in a class of nonlinear multi-agent systems with Lur'e-type dynamics is investigated in this project. Based on several tools from the stability theory, control theory, algebraic graph theory， matrix theory and absolute stability of Lur'e systems, this project focuses on some practical problems in consensus coordination control of multi-agent systems by means of the combination of time domain and frequency domain method. The main work can be summarized as follows: (1) the group consensus problem with complex communication network; (2) the group consensus problem under uncertainty environmental factors; (3) the group consensus problem of the time-delay systems. Under different structures of communication network, control protocols of group consensus are designed, some conditions are established to realize group consensus of multi-agent systems. In addition, the conception of group consensus region is presented and analysised. The objective of this project can enrich and develop the coordination control theory of multi-agent systems, especially for the study of multi-agent systems with nonlinear dynamics, the understanding of emergency property in biological community and the control of the overall behavior in engineering group.

英文关键词： Multi-agent systems;Lur'e-type nonlinear dynamics;Group consensus;Group consensus region;Absolute stability