Consensus of multi‐agent systems via delayed and intermittent communications

Abstract

This study investigates consensus problems for multi-agent systems with second-order dynamics under delayed and intermittent communication. A class of distributed control algorithms are proposed based on the relatively delayed and periodical intermittent information of neighbouring agents. Then, by using tools from Lyapunov approach and graph theory, it is proved that under intermittent and delayed communication, consensus can still be asymptotically achieved if some sufficient conditions are satisfied. Moreover, the relationship between time delays and communication duration over each control period is sought out. As an extension, consensus tracking problems are studied under a directed communication topology containing a spanning tree. Both the cases of partly and completely intermittent information exchange are dealt with. Finally, several simulation examples are provided to illustrate the effectiveness of the proposed theoretical analyses.

Distributed containment control for second‐order multiagent systems with time delay and intermittent communication

“…In this paper, the intermittent containment control problem for multiagent systems with multiple dynamic leaders is considered for the first time, to the best of our knowledge. Different from the existing papers, some more general intermittent time intervals [ t 2 k , t 2 k + 1 ) and [ t 2 k + 1 , t 2 k + 2 ), k = 0,1,…, are considered in this paper, which are easier to achieve in reality. The new method is used for analyzing the convergence of intermittent control under this case.…”

“…Remark 5. Under intermittent communication, other works [17][18][19][20] have only addressed the consensus problem of multiagent systems without any leader. However, in some practical applications, it is desirable that all the agents can track a given trajectory or converge to a target area.…”

Distributed event-triggered control for consensus of multi-agent systems

“…Thus, compared with continuous control scheme [10,34,36] and traditional periodic sampling control scheme [12][13][14], computation cost will be saved.…”

“…This problem is also called consensus problem and has been extensively studied in [4][5][6][7][8][9]. Nowadays, there are many different control strategies that have been proposed for consensus of multi-agent systems, such as continuous control [10,11] and periodic sampling control [13,12,14]. Continuous control strategy requires controller updates continuously, which may lead to large communication load and high frequency of controller's update.…”

Distributed event‐triggered fixed‐time consensus for leader‐follower multiagent systems with nonlinear dynamics and uncertain disturbances

“…Among them, consensus is the basic problem of cooperative control, which can be divided into 2 different directions depending on whether there is a leader or not. A lot of consensus protocols have been developed when there is no leader or the leader is static …”