Distributed Saturated Impulsive Control for Local Consensus of Nonlinear Time-Delay Multiagent Systems With Switching Topologies

• 成果类型: Article
• 署名作者: Lv, Xiaoxiao; Cao, Jinde; Rutkowski, Leszek; Duan, Peiyong
• 署名单位: Southeast University - China; Polish Academy of Sciences; Systems Research Institute of the Polish Academy of Sciences; AGH University of Krakow; Yantai University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3272515
• 发表日期: 2024
• 页码: 771-782
• 关键词: Composite impulsive-instant-dependent Lyapunov function; distributed saturated impulsive control; local consensus; maximum domain of attraction; nonlinear time-delay multiagent systems

摘要

In this article, the local consensus problem of nonlinear time-delay multiagent systems with switching topologies via distributed saturated impulsive control is discussed and the maximum domain of attraction is well estimated. Specifically, we develop a new estimation approach that is quite distinct from the contractive invariant set to estimate the domain of attraction. Moreover, a novel composite impulsive-instant-dependent Lyapunov function is constructed and an improved convex hull representation with more slack variables is adopted to minimize the conservativeness. Then, some delay-independent sufficient criteria in the form of bilinear matrix inequalities that guarantee local consensus of nonlinear time-delay multiagent systems are obtained by means of the Lyapunov-Razumikhin technique and proof by contradiction. Through appropriate transformation, some linear matrix inequalities-based optimization problems constrained by the proposed local consensus criteria are formulated, and the corresponding numerical solutions are solved by the Yalmip. Finally, a simulation example is given to confirm the validity and superiority of the proposed theoretical results.