Abstract
In this paper, the prescribed finite-time consensus problem of linear multi-agent systems (MASs) is considered based on distributed event-triggered control strategies. It has been presented in the literatures that the prescribed finite time is independent of initial conditions or any other parameters, and can be pre-specified by the designer. Different from the existing prescribed finite-time consensus control rules that are based on continuous communication between agents and their neighbors, the proposed control laws in this paper are built on event-triggered mechanism. Furthermore, because the control schemes involve a time-varying scaling function, the Zeno behavior is hard to be excluded by the traditional approaches. To solve this problem, a dynamical event-triggered controller concerning time-varying variables to agents is proposed. Numerical simulations demonstrate the effectiveness of theoretical results.
Highlights
Among various control strategies that are applied to investigate the consensus problem of multi-agent systems (MASs) [22]–[24], many control techniques rely on continuous communication between agents and their neighbors, which can lead to energy waste and cause the communication resource competition among agents
Inspired by the results focused on asymptotic consensus of MASs in [40], [41], a dynamic event-triggered control protocol is presented, by which the prescribed finite-time consensus problem is studied and the Zeno behavior can be successfully excluded
This paper has studied prescribed finite-time consensus problem of linear MASs with distributed event-triggered control rules
Summary
MASs consist of multiple agents that interact in a shared environment aiming to achieve some individual or collective objective [1]–[3]. An alternative method is sampled-data control [25], [26], if the control schemes continue to update periodically with the same frequency even after the system has reached the control goal with sufficient accuracy, unnecessary communication cost will be arisen. To overcome this shortcoming, a special kind of aperiodic sampled-data technique, known as event-triggered control [27], [28], is proposed. A special kind of aperiodic sampled-data technique, known as event-triggered control [27], [28], is proposed
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