Distributed Event-Triggered Control for Prescribed Finite-Time Consensus of Linear Multi-Agent Systems

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.