With the development of computation,communication and control technology,namely3C technology,cyber-physical system(CPS)has received widespread attention.As an important distributed CPSs,multi-agent systems have been widely applied in various fields,bringing great convenience to social development and human survival.However,due to the complexity of system scale and the openness of network protocols,the threat of attacks that multi-agent systems face is increasing,and the situation is getting more severe.Therefore,it is of great significance to study the secure defense and control strategy of multi-agent systems under attacks.This paper studies the adaptive consensus control of multi-agent systems based on dynamic event-triggered mechanism under denial of service attacks(Do S)and false data injection attacks(FDI),respectively.The main contents are as follows:For multi-agent systems suffering from Do S attacks,the secure consensus control based on state feedback is studied.Firstly,a dynamic event-triggered mechanism including time-varying weight coefficients is designed to save communication resources.Secondly,a fully distributed consensus protocol based on adaptive coupling parameters is proposed to cut down information interaction between agents and reduce the impact of Do S attacks.Meanwhile,the designed control protocol introduces a switching mechanism to strengthen the system’s ability to defend against Do S attacks.Then,based on the Lyapunov stability theorem,the asymptotically stability conditions of the consensus error system are given,that is,the average consensus of multi-agent systems under Do S attacks is solved.Also,the constraints on Do S attacks are analyzed.Finally,a numerical example is provided to verify the theoretical results.For multi-agent systems with unknown states,the state observer-based secure consensus control under Do S attacks is further studied.An adaptive consensus control protocol based on state estimation and dynamic event-triggered mechanism is designed.A switching strategy is also adopted to realize dual defense against Do S attacks.Then the secure average consensus conditions for multi-agent systems are given.Moreover,the designed trigger mechanism is proved to exclude Zeno behavior effectively.Finally,a simulation example is given to prove the feasibility of the proposed control strategy.Compared with the existing results,the above-mentioned secure control strategy for Do S attacks increased the attack time that can be resisted by about 10%.For multi-agent systems suffering from FDI attacks,the adaptive resilient control based on active attack compensation strategy is studied.Firstly,an augmented observer is proposed to estimate the actual state of system and the false data injected by the malicious attackers.Secondly,a dynamic event-triggered transmission mechanism that can strictly exclude Zeno behavior is introduced to reduce channel congestion and save network resources.Then,based on the estimation of attacks,an adaptive consensus control protocol that can offset the impact of FDI attacks is designed.Through the Lyapunov analysis method and the convergence criterion related with L_∞-space and L_p-space,the consensus conditions for multi-agent systems under FDI attacks are given.Finally,a simulation experiment is used to verify that the strategy can resist FDI attacks whose amplitude is about 5 times of the initial state value,which verifies the effectiveness of the proposed method. |