研究了离散时间多智能体系统的间歇输出一致性问题。首先,基于离散时间多智能体系统建立模型,提出了对通信时间进行控制的间歇输出一致性控制协议;再通过构造误差系统和Lyapunov候选函数,分阶段得到实现输出一致性的充分条件;然后利用输出调节方程,证明了间歇通信下多智能体系统的输出一致性;最后,使用具体的数值进行仿真,验证所得结果的有效性。The intermittent output consensus problem of discrete-time multi-agent systems is studied. Firstly, a model based on discrete-time multi-agent systems is established, and an intermittent output consensus control protocol is proposed to control communication time. Then, by constructing an error system and Lyapunov candidate function, sufficient conditions for achieving output consensus are obtained in stages. After that, the output consensus of multi-agent systems under intermittent communication was proved by using the output adjustment equation. Finally, a specific numerical simulation was conducted to validate the validity of the results obtained.
探讨了多智能体系统和无向拓扑中的分布式测量边界控制问题,根据智能体及其邻域之间的通信所产生的信息,在空间边界点上进行边界控制器的设计。本文利用李雅普诺夫第二方法建立了输出一致性充分条件,并通过线性矩阵不等式计算得出控制增益。最后,通过数值算例来证明理论分析的结果。The problem of distributed measurement boundary control in multi-agent systems and undirected topologies is explored, and the design of boundary controllers is carried out at spatial boundary points based on the information generated by the communication between the agents and their neighbors. In this paper, a sufficient condition for output consensus is established using Liapunov’s second method, and the control gain is computed by linear matrix inequality. Finally, the results of the theoretical analysis are demonstrated by numerical examples.