Open AccessEvent‐based leader‐following consensus for uncertain non‐linear multiagent systems
Author(s) -
Hua Changchun,
Li Zhijie,
Li Kuo,
Guan Xinping
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.0573
Subject(s) - lipschitz continuity , control theory (sociology) , lyapunov stability , multi agent system , controller (irrigation) , consensus , protocol (science) , stability theory , computer science , zeno's paradoxes , state (computer science) , state variable , lyapunov function , linear system , mathematics , nonlinear system , control (management) , algorithm , artificial intelligence , medicine , mathematical analysis , physics , alternative medicine , geometry , pathology , quantum mechanics , agronomy , biology , thermodynamics
This study investigates a distributed leader‐following consensus problem for a class of high‐order uncertain non‐linear multiagent systems. For the uncertain non‐linear terms in the systems, the authors propose a less conservative Lipschitz condition, which the Lipschitz growth parameters are unknown. By using the adaptive method, the unknown Lipschitz growth parameters are estimated asymptotically. Furthermore, to lower the frequency of controller updates, a new dynamic event‐triggered control strategy with the novel dynamic variable is constructed based on the event‐triggered method. The distributed consensus protocol is proposed based only on the relative state information of neighbouring agents and the protocol can ensure that the Zeno‐behaviour no longer occurred. Based on the Lyapunov stability theory, it is strictly proved that the state variables of the followers can track asymptotically those of the leader. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed theoretical results.