Leader-Following Consensus in Second-Order Multiagent Systems via Event-Triggered Control With Nonperiodic Sampled Data

Abstract

The problem of leader-following consensus in secondorder multiagent systems is investigated in this brief, where the data are sampled randomly within a certain known bound and the data transmission is driven by an event-triggered control protocol. A distributed event-triggered control protocol is designed, in which the Zeno behavior is naturally excluded by the strictly positive sampling intervals and the data transmission is largely reduced. Under the proposed protocol, the sufficient condition is derived for assuring the consensus, which declares that the consensus can be achieved if the control gains and the sampling intervals are reasonable. Some numerical examples are provided to demonstrate the effectiveness of the proposed protocol.

Event-triggered cooperative robust practical output regulation for a class of linear multi-agent systems

“…Thus the distributed output feedback control law (15) together with the distributed output-based eventtriggered mechanism (23) solves CRPSP for the augmented system (14). It follows from Proposition 4.1 that our proof is completed.…”

“…for any t ∈ [t i k , t i k+1 ) with k ∈ Z + and i = 1, · · · , N . Thus we obtain the closed-loop system composed of the augmented system (14) and the control law (15) as followṡ…”

“…Several other cooperative control problems of multiagent systems by event-triggered control have also been studied. For example, the consensus problem of singleintegrator and double-integrator multi-agent systems by event-triggered control was studied in [3,6,17], and [11,14], respectively. Reference [23] studied the consensus problem for the general linear multi-agent systems by an observer-based output feedback event-triggered distributed control law.…”

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

“…In particular, the event-triggered consensus of leaderfollowing multiagent systems was studied in [13][14][15][16], where the dynamics of agents was restricted to single-or doubleintegrator. Furthermore, the general linear multiagent system was considered in [17][18][19][20][21].…”

Distributed Adaptive Event‐Triggered Control for Leader‐Following Consensus of Multi‐Agent Systems

“…In most existing literature, to guarantee the event‐based consensus of multi‐agent systems, the communication graph is required to be undirected and its related eigenvalues of Laplacian matrix are required to be known to determine the control gain . However, the communication graph is commonly undirected and the eigenvalues of Laplacian matrix are global information which need the entire communication graph to compute them.…”