Fixed‐time event‐triggered consensus of second‐order multi‐agent systems with fully continuous communication free
Ding Zhou, An Zhang, Pan Yang
Abstract
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.