Consensus for PDE-based multiagent systems under dual event-triggered mechanisms

Abstract

This study develops a consensus control technique for a class of multiagent systems (MASs) modeled using partial differential equations (PDEs) of the parabolic type, which implies that the state of each agent is space–time dependent. Furthermore, when the spatial factor is considered in the modeling of the system, the modeled system generates huge amounts of data, which can pose a problem in view of the limited network bandwidth. This problem is overcome by employing a spatial point measurement approach, which is used in this study for the first time, to reduce the amount of data transmission. Furthermore, the update frequency of controllers and actuators is reduced by using dual event-triggered mechanisms (ETMs). In view of the mismatch between measurement and control points, non-collocated pointwise control is used to achieve consensus. Finally, a numerical simulation is performed to verify the theory proposed in this paper, moreover, the comparative experiments illustrate the superiority of the spatial point measurement approach and dual event-triggered mechanisms.