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

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.