Event-triggered Fixed-time Group Consensus for Nonlinear Multi-agent Systems with Disturbances

For multi-agent systems (MAS) with external bounded disturbances and non-linearity, an event-triggered strategy for group consensus problem with fixed time is studied, and the factors of influence that agent state information triggers the controller update is given. This strategy can quickly reach group consensus in a fixed-time according to its individual state information and incomplete information of MAS. The time for MAS reaches convergence without constraints of its individual initial state, which can further reduce the communication cost and prolongs the life of MAS. Besides this strategy can reach group consensus without satisfying in-degree balance constraint. Combined with Lyapunov stability theory and algebraic diagrams, it is demonstrated that MAS affected by nonlinear terms and external bounded disturbances can reach group consistency in fixed-time and strictly exclude Zeno behavior. Finally, a simulation example verifies the feasibility of the theoretical results.