带有时滞的离散多智能体系统的H_∞一致性问题  

H_∞ CONSENSUS PROBLEMS FOR DISCRETE-TIME MULTI-AGENT SYSTEMS WITH TIME DELAYS

作　　者：高玉兰[1] 于俊燕[1] 禹梅[2] 

机构地区：[1]电子科技大学数学科学院,成都611731 [2]华北电力大学自动化学院,北京100190

出　　处：《系统科学与数学》2015年第3期317-326,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然基金(61104141;61004031;61203150;61304049);中央高校基本科研资金(ZYGX2013Z005)资助课题

摘　　要：考虑带有时滞的离散多智能体系统的H_∞一致性问题,采用增广系统法将原系统转换成为一个不带时滞的降阶系统.通过利用李雅普诺夫稳定性理论研究降阶系统的稳定性,得到多智能体系统达到H_∞一致的线性矩阵不等式形式的条件.最后,仿真结果验证理论结果的有效性.We investigate an H∞ consensus problem for discrete-time multi-agent systems with external disturbances and time delays. By an augmentation system method as well as a system transformation technique, a reduced-order system without delays is firstly derived. Then based on the reduced-order system, we obtain some conditions in form of linear matrix inequalities （LMIs） guaranteeing the H∞ consensus by using Lyapunov function methods. Finally, simulation results are provided to demonstrate the effectiveness of our theoretical results.

关 键 词：多智能体系统 H∞一致性 时滞 增广系统 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]