Distributed Optimal Coordination Control for Nonlinear Multi-Agent Systems Under Dos Attack

This paper is concerned with the distributed optimal coordination control of nonlinear multi-agent systems (NMASs) under the denial of service (DoS) attacks. The purpose of this paper is to design a distributed control rate for an unknown nonlinear multi-agent system with power interval and time-varying packet loss probability under Dos attack that accurately simulates the impact of DoS attack on NMASs. Then adaptive dynamic programming (ADP) algorithm is used to solve the coupled Hamilton-Jacobi-Bellman (HJB) equation. In order to realize the proposed method, the critic neural network(NN) and actor neural network are used to approximate value functions and control policy. Finally the NN actor-critic policy for optimal control of NMASs under DoS attack with power interval is found. It is proved that the weight estimation error and local neighborhood coordination error are uniformly ultimately bounded (UUB). Finally, the simulation results show the effectiveness of the coordinated control.