Dynamic Event-Triggered Leader-Follower Control for Multiagent Systems Subject to Input Time Delay

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 53; no. 3; pp. 1970 - 1981
• Main Authors: Xia, Lina, Li, Qing, Song, Ruizhuo, Feng, Yongfeng
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.03.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Behavioral sciences; Convergence; Delay effects; Delays; Directed graphs; Dynamic triggering mechanism; event-triggered; input time delay; Multiagent systems; Protocols; Reagents; Synchronism; Synchronization; Time lag; time-varying coupling gain; Zeno behavior
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2022.3210709

The leader-follower dynamic event-triggered controller is proposed for multiagent systems (MASs) subject to input time delay under time-varying coupling control gain. To begin with, the Halanay inequality, which is referred to as a delayed differential inequality, is used to deal with the input time-delay leader-follower problem. Second, a time-varying event-triggered control protocol with a dynamic triggering mechanism is adopted to save the communication resources with the satisfaction of state synchronization among agents at an exponential convergence rate. Additionally, a novel dynamic triggering mechanism that does not require continuous communication information among agents is further generated with more trigger times than before. Both dynamic triggering mechanisms show better superiority in excluding Zeno behavior and saving communication resources due to the embedding of a positive dynamic parameter in the triggering mechanisms. Finally, a simulation example and the F16 aircraft systems are presented to demonstrate the availability of the theoretical results.