Event-triggered impulsive control for multi-agent systems with actuation delay and continuous/periodic sampling

The paper explores the event-triggered impulsive control for consensus problems in multi-agent systems (MASs) with actuation delay. Two types of event-triggered delayed impulsive control (ETDIC) schemes, predicated on continuous and periodic sampling, are proposed respectively. Several exponential consensus criteria for MASs are derived by using Lyapunov method. A correlation function is established between event parameters, actuation delay, and control strength to promote the co-design of the event-triggering policy and impulsive controller. It is shown that under the proposed ETDIC schemes, the interaction between neighboring agents is executed discontinuously, the upper bound information on the interval of two consecutive event impulses is not directly required. This results in reduced resource consumption of communication and control actions, as well as enhancing flexibility of the generated sequences of event impulses. Moreover, two representative examples with simulation results are given to illustrate the theoretical results.