Event triggered optimal formation control for nonlinear multi-agent systems under Denial-of-Service attacks

Abstract: This paper investigates the optimal formation control problem of a class of nonlinear multi-agent systems(MASs) under Denial-of-Service(DoS) attacks. We design the optimal formation control law using an event-triggered control scheme to achieve formation objectives under DoS attacks. Critic neural network (NN)-based approach is employed to achieve the optimal control policy under DoS attacks. Event-triggered mechanism is introduced to ensure the saving of control resources. Additionally, Lyapunov stability theory is utilized to demonstrate that the local neighborhood formation error exhibits exponential stability and the estimation error of weights are uniformly ultimately bounded. Finally, the effectiveness of the control algorithm is validated through matlab simulations. The results indicate that under DoS attacks, the nonlinear MAS successfully achieves the desired formation for the MAS.