Fixed-time event-triggered consensus tracking control for uncertain nonlinear multiagent systems with dead-zone constraint

This research investigates the fixed-time event-triggered consensus tracking control for a class of uncertain nonlinear multiagent systems (MASs) under directed graphs. In MASs, frequent and continuous communication is difficult to achieve because the network bandwidth of the system is limited. In addition, unknown nonlinearities and dead-zone input may exacerbate the communication burden of the system. It is challenging to guarantee the fixed-time stability of the system when it suffers from these constraints. To overcome the above problems, based on the radial basis neural networks and backstepping technology, an event-triggered mechanism is designed to reduce the frequency of control input updates and compensate for the dead-zone input. On this basis, a novel consensus tracking control protocol is established based on the practically fixed-time stability theorem. Technically, by using the protocol, the system is practically fixed-time stable, even under the effect of those aforementioned constraints. Finally, some simulation examples validate the validity of the proposed protocol.