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多智能体系统的二阶一致性跟踪问题
引用本文:杨亚桥,吴晓锋,林茜.多智能体系统的二阶一致性跟踪问题[J].海军工程大学学报,2012,24(2):11-15.
作者姓名:杨亚桥  吴晓锋  林茜
作者单位:1. 海军工程大学电子工程学院,武汉,430033
2. 海军兵种指挥学院航空兵战术指挥系,广州,510430
基金项目:国家自然科学基金资助项目
摘    要:为了解决通信时延下关于参考状态的二阶一致性问题,提出了一种一致性算法。该算法利用Lya-punov稳定性理论,首先给出多智能体系统在固定时延下达到一致性的充分的线性矩阵不等式(LMI)判据;再给出满足一定条件的多智能体系统在时变时延下达到一致性的判据;最后,以水下无人航行器(UUV)集结为应用背景进行算法验证。运算结果表明了所提出的一致性算法和判据的有效性。该算法适用于具有时延的有向通信网中多智能体系统关于参考状态的二阶一致性问题。

关 键 词:多智能体  协同控制  一致性跟踪  线性矩阵不等式

Second-order consensus with reference state for multi-agent system
YANG Ya-qiao , WU Xiao-feng , LIN Qian.Second-order consensus with reference state for multi-agent system[J].Journal of Naval University of Engineering,2012,24(2):11-15.
Authors:YANG Ya-qiao  WU Xiao-feng  LIN Qian
Institution:1(1.College of Electronic Engineering,Naval Univ.of Engineering,Wuhan 430033,China; 2.Dept.of Aviation Tactical Command,Naval Academy of Arms,Guangzhou 510430,China)
Abstract:A second-order consistence algorithm was proposed to solve the problem of consistence with reference state.Based on the Lyapunov theory,some LMI criteria were respectively obtained under time-fixed and time-varying time-delay conditions.With the multiple UUVs rendezvous as a background for verifying the algorithm,the result shows that the algorithm and criteria are effective.The algorithm is used to solve the problem of second-order consistence with reference state in the directed communication graph.
Keywords:multi-agent system  cooperative control  consensus tracking  LMI
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