Research On Secure Consensus Of Multi-agent System Under DoS Attack

In recent years,as the core of cooperative control,the consensus of multi-agent systems has become an important research object in the control field.As the same time,the openness and sharing of system brings a huge threat to the security of multi-agent systems.Denial-of-Service attack is a common attack mean on network control systems,which refers to affects data transmission and refuses to provide legal services by exhausting system or network resources of the attacks target.DoS attacks bring more security issues to multi-agent systems.Therefore,this dissertation discusses the secure consensus problem of linear multi-agent systems with time delay and second-order nonlinear multi-agent systems under DoS attack and event-based control mechanism.The details are as follows:(1)This dissertation studies the leader-follower secure consensus problem for linear multi-agent system with time delay under DoS attack.First,an event-triggered controller and secure consensus protocols are designed.Then,by using the linear matrix inequality technique,the upper bound of attack frequency,the upper bound of attack length rate and the upper bound of time delay are obtained to ensure that the leader-following secure consensus of linear MAS can be achieved under DoS attacks.Moreover,the Zeno behavior is excluded.In other words,if the DoS attack frequency and attack length rate are greater than the upper bounds,the consensus can not be achieved.Finally,the effectiveness of the proposed algorithm is verified by the method of simulation.(2)This dissertation studies the leader-follower secure consensus problem for second-order multi-agent system with nonlinear dynamics subject to DoS attack.First,the nonlinear functions are linearized.The event trigger function and corresponding consensus control protocol are designed.Then by the Lyapunov function method,the upper bound of DoS attack frequency,the upper bound of attack length rate and parameter conditions are obtained to ensure that the leader-following secure consensus of second-order MAS can be achieved under DoS attacks.At the same time,the minimum interval for event triggering is obtained,Zeno behavior is excluded,and the effectiveness of the event triggering controller is proved.Finally,the effectiveness of the proposed algorithm is verified by the method of simulation.