Adaptive neural consensus tracking control for singular multi-agent systems against actuator attacks under jointly connected topologies

This admissible leader-following consensus problem of singular multi-agent systems with time-varying delay, uncertainties, external disturbance, and nonlinear actuator attacks under jointly connected topologies is studied in this paper. The communication topology between agents does not need to be connected at every time instant, only that the union of the associated graphs at a certain time interval always has a spanning tree. First, a novel distributed adaptive control scheme based on neural networks (NNs) approximation is proposed, which can approximate the actuator attack by adaptive updating the weight matrix of the neural network. Then, by means of linear matrix inequality (LMI) approach, the sufficient conditions of admissible leader-following consensus tracking and disturbance rejection of SMASs are obtained. Finally, simulation results are given to vary the effectiveness.