Resilient fully distributed control for multi-agent systems under DoS attacks

In this paper, we consider the resilient fully distributed control problem for multi-agent systems (MASs) under denial-of-service (DoS) attacks. In contrast to the existing resilient control results on DoS attacks, our method is developed without using any information about the Laplacian matrix through a two-step design procedure. Firstly, a couple of weight estimators are designed, which consist of an impulsive system to update the state of the estimators and an event-based algorithm to generate the jump set in the impulsive system. Then, a switching-based fully distributed consensus protocol, consisting of a locally prescribed time controller to regulate the state of each agent to zero at the state reset interval and a fully distributed controller to achieve the consensus objective at the consensus interval, is proposed. It is shown that there is only a finite number of elements in the jump set and the consensus errors converge exponentially. Secondly, the developed method is extended to solve the resilient fully distributed consensus problem for MASs with DoS attacks. Finally, a simulation example is presented to show the effectiveness.