Open AccessFixed‐time event‐triggered consensus of second‐order multi‐agent systems with fully continuous communication free
Author(s) -
Zhou Ding,
Zhang An,
Yang Pan
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.2020.0401
Subject(s) - control theory (sociology) , bounded function , multi agent system , computer science , observer (physics) , lyapunov function , lyapunov stability , stability (learning theory) , consensus , function (biology) , control (management) , mathematics , nonlinear system , artificial intelligence , mathematical analysis , physics , quantum mechanics , machine learning , evolutionary biology , biology
This study deals with fixed‐time consensus problems of second‐order multi‐agent systems with uncertain bounded disturbances. Instead of the time‐triggered control algorithm, a distributed event‐triggered control algorithm is developed in the presence of uncertain disturbance. By designing a novel threshold, a triggering function is proposed, which is fully distributed and does not require continuous communication. To tackle the chattering problem, a saturation function is defined to improve the control algorithm. Several conditions are derived and the rigorous proof is given by using Lyapunov stability theory and fixed‐time stability theory. Then, to reduce the disturbance effect, an event‐triggered control algorithm is proposed by using a disturbance observer. Finally, two simulation examples are given to verify the efficiency of the proposed control method.