Leader-Following Consensus of Linear Multiagent Systems via Distributed Impulsive Control
Dongpeng Zhou, Wu‐Hua Chen, Xiaomei Lu · IEEE Transactions on Automatic Control · 2025
This technical note introduces a novel design approach to address the leader-following consensus problem in linear multi-agent systems (MASs) through distributed impulsive control. First, robust stability criteria are established for a class of linear impulsive systems with parametric input matrix. These criteria are then applied to the design of the distributed impulsive controller. The proposed design approach decouples the design of the impulsive control gains from the detailed graph properties, making it applicable to a class of communication networks. Furthermore, the state feedback results are extended to the output feedback case by constructing a distributed impulsive observer-based controller. In both scenarios, it is demonstrated that the novel impulsive controller/observer developed at the individual agent level can also be utilized to achieve leader-following consensus for a class of linear MASs, provided that the relationship between the dynamics of the individual agents and the graph properties satisfies a certain condition. Finally, the efficiency and the scalability of the theoretical results are verified through two illustrative examples.