Event-Triggered Schemes on Leader-Following Consensus of General Linear Multiagent Systems Under Different Topologies

Abstract

This paper investigates the leader-following consensus for multiagent systems with general linear dynamics by means of event-triggered scheme (ETS). We propose three types of schemes, namely, distributed ETS (distributed-ETS), centralized ETS (centralized-ETS), and clustered ETS (clustered-ETS) for different network topologies. All these schemes guarantee that all followers can track the leader eventually. It should be emphasized that all event-triggered protocols in this paper depend on local information and their executions are distributed. Moreover, it is shown that such event-triggered mechanism can significantly reduce the frequency of control's update. Further, positive inner-event time intervals are assured for those cases of distributed-ETS, centralized-ETS, and clustered-ETS. In addition, two methods are proposed to avoid continuous communication between agents for event detection. Finally, numerical examples are provided to illustrate the effectiveness of the ETSs.

Clustered Event-Triggered Consensus Analysis: An Impulsive Framework

“…Considerable research efforts have been made to design appropriate time-driven control protocols to achieve kinds of cooperative behaviors [13]- [15]. However, in recent years, event-triggered mechanism has gradually caused extensive concern due to its advantage of saving unnecessary usage of energy [16]- [23]. The idea of event-triggered mechanism emphasizes that behavior (such as controller update, information exchange, etc) is executed when it is needed rather than elapse of a certain period of time.…”

“…To be specific, our contributions can be listed as follows: (i) Motivated by [16], [23], [26], an impulsive framework will be proposed to analyze and describe how event-triggered information transmission over communication topology affect the dynamics of multi-agents. Under this framework, the issue of information exchange can be interpreted equivalently as that of impulse response.…”

Controllability and Synchronization Analysis of Identical-Hierarchy Mixed-Valued Logical Control Networks

“…Due to the complexity of this matrix, we just present the indexes of the first 20 columns and Fig. 3 shows the whole row indexes of each column of matrix L L = δ 36 [8, 9, 10, 11, 12, 7, 14, 15, 16, 17, 18, 13, 20, 21, 22, 23, 24, 19, 26, 27, . .…”

“…Whole row indexes of each column in matrix L obtained in system(36). Each point corresponds to the row index of each column, which implies the position of the element 1.…”

Event‐Triggered Consensus Control for Leader‐Following Multiagent Systems Using Output Feedback

“…But it was assumed that all the following agents were aware of state information of the leader. In [19], the distributed, centralized, and clustered event-triggered schemes were proposed for different network topologies, which could reduce the frequency of controller updates. In [21], an existing continuous control law was extended with a novel event-triggered condition, and it was proved that the system remained the desired performance with much lower controller updating frequency.…”