Dynamic Event-triggered Control For Nonlinear Network With DoS Attack

As a broader expression than the traditional feedback control system,network control systems(NCSs)have attracted a lot of attention in recent years.This paper mainly focuses on the stability analysis and H_? controller design of network control systems with denial of service(DoS)attack under dynamic event-triggered control(DETC)mechanism.After searching,there are many researches on network control systems with DoS attack and network control systems under dynamic event-triggered mechanism,but the research on the combination of the two is less,which encourages us to study the stability analysis and H_? control of network control systems with DoS attack under dynamic event-triggered mechanism.The work is mainly carried out in the following aspects:State feedback H_? control under dynamic event-triggered mechanism is studied for nonlinear network with DoS attack.First of all,the impact of packet loss caused by DoS attack is taken as the uncertainty of trigger condition.In view of this uncertainty and an internal dynamic parameter is introduced into the static event-triggered mechanism,the dynamic event-triggered mechanism is designed.On this basis,a security controller with H_? performance is designed.Then,according to Lyapunov stability theory,Young's inequality,Schur's complement lemma,one-sided Lipschitz condition,quadratic inner-bounded condition and dynamic event-triggered condition,the conditions for the existence of safety controller are deduced.By using some special derivatives,the bilinear matrix inequality is transformed into a set of linear matrix inequalities,so as to realize the cooperative design of trigger parameter and feedback gain,and ensure the security performance of DoS attack.Finally,a numerical example is given to verify the effectiveness of the proposed method.Aiming at the situation that the state of the controlled object cannot be measured,the dynamic output feedback H_? control of NCSs is studied by introducing the output-based dynamic event-triggered control.First,an output-based dynamic event-triggered condition is introduced to select the packets that the controller needs to transmit.Secondly,the closed-loop system affected by trigger condition,one-sided Lipschitz condition and quadratic inner-bounded condition is modeled as a nonlinear system with time-varying delay.A new stability criterion is established by using the Lyapunov-Krasovskii functional method.Based on the stability criterion,as long as a set of linear matrix inequalities are satisfied,appropriate multi-degree of freedom controllers and dynamic event-triggered parameters can be designed simultaneously.Finally,an example is given to demonstrate the effectiveness of the proposed method.Considering the practical application of the research results in this paper,taking the three-tank system as the controlled object,combining the traditional three-tank control system with the theory of networked control system,the liquid level control based on network platform is studied,and the collaborative design of controller and dynamic event-triggered parameters of networked three-tank control system.The effectiveness of the proposed method is verifie d by simulation analysis.