Event-Triggered Finite-Time Guaranteed Cost H-Infinity Consensus for Nonlinear Uncertain Multi-Agent Systems

The event-triggered finite-time guaranteed-cost H-infinity consensus problem for nonlinear multi-agent systems (MASs) with disturbances and uncertain parameters is considered in this paper. Based on an appropriate Lyapunov function, we designed a distributed event-triggered control strategy for band disturbances and nonlinear MASs. Sufficient and consensus conditions are then derived by matrix analysis. Sufficient conditions for the finite-time boundedness (FTB) with an H-infinity performance level of the resulting MAS are derived, which are expressed by a matrix inequality. Meanwhile, the upper bound of the guaranteed cost function of the uncertain system is obtained. Furthermore, it is proven that each event-triggered interval has a positive lower bound, thereby avoiding Zenos behavior. Finally, LMI technology is used to verify the validity of the results through numerical simulation.