Wang Yan-Wu, Lei Yan, Bian Tao, Guan Zhi-Hong
IEEE Trans Cybern. 2020 May;50(5):1820-1832. doi: 10.1109/TCYB.2019.2908874. Epub 2019 Apr 22.
In this paper, the leader-following output consensus problem for a class of uncertain nonlinear multiagent systems with unknown control directions is investigated. Each agent system has nonidentical dynamics and is subject to external disturbances and uncertain parameters. The agents are connected through a directed and jointly connected switching network. A novel two-layer distributed hierarchical control scheme is proposed. In the upper layer, to save the communication resources and to handle the switching networks, an event-triggered communication scheme is proposed, and a Zeno-free event-triggered mechanism is designed for each agent to generate the asynchronous triggering time instants. Furthermore, to avoid the continuous monitoring of the system states, a Zeno-free self-triggering algorithm is proposed. In the lower layer, to handle the unknown control directions problem and to achieve the output tracking of the local references generated in the upper layer, the Nussbaum-type function-based technique is combined with internal model principle. With the proposed two-layer distributed hierarchical controller, the leader-following output consensus is achieved. The obtained result is further extended to the formation control problem. Finally, three numerical examples are provided to demonstrate the effectiveness of the proposed theoretical results.
本文研究了一类具有未知控制方向的不确定非线性多智能体系统的领导者-跟随者输出一致性问题。每个智能体系统具有不同的动力学特性,并受到外部干扰和不确定参数的影响。智能体通过有向且联合连通的切换网络进行连接。提出了一种新颖的两层分布式分层控制方案。在上层,为节省通信资源并处理切换网络,提出了一种事件触发通信方案,并为每个智能体设计了一种无芝诺事件触发机制,以生成异步触发时刻。此外,为避免对系统状态进行连续监测,提出了一种无芝诺自触发算法。在下层,为处理未知控制方向问题并实现上层生成的局部参考的输出跟踪,将基于努斯鲍姆型函数的技术与内模原理相结合。通过所提出的两层分布式分层控制器,实现了领导者-跟随者输出一致性。所得到的结果进一步扩展到编队控制问题。最后,提供了三个数值例子来证明所提出理论结果的有效性。