Dynamic Event-triggered Control Based On Observer For Networked Systems With DoS Attack

Different from traditional systems,the networked systems transmit the data of sensors and controllers by sharing communication devices instead of point-to-point connection.In recent years,with the rapid development of sensor,communication and computing technology,more and more researches pay attention to networked systems.However,the wide applications of networked systems have also brought new challenges.Aiming at the problems of limited resources and network security for networked systems,this paper mainly studies the stabilization control and robust H_?control problems of dynamic event-triggered by observer-based Denial-of-Service(abbreviation:Do S)attack on networked systems.Nowadays,there are many researchers focus on static event-triggered mechanism of networked systems,and the security issues of networked systems has also made some progress.Nevertheless,it is stimulated this paper to study such topics that there are only few researches for dynamic event-triggered mechanism and the collaborative control of dynamic event-triggered and networked systems security at present.The main research contents of this paper are as follows:A controller with dynamic event-triggered mechanism based on observer is designed for networked systems with periodic Do S attack.Firstly,the networked systems with Do S attack are divided into active Do S attack subsystem and dormant Do S attack subsystem by switching systems theory.By introducing an internal dynamic parameter into the static event-triggered,the dynamic event-triggered mechanism is designed,and the controller based on observer state is designed for dynamic event-triggered time.Secondly,according to Lyapunov stability theory,improved Jensen's inequality and Schur Complement Lemma,sufficient conditions are obtained for the stability of two switching subsystems.Based on above,Do S attack limitations are introduced to obtain sufficient conditions for asymptotic stability of switching systems with LMI form.At the same time,the co-design parameters are given for state observer,controller and dynamic event-triggered mechanism.Finally,a numerical example is given to verify the effectiveness of the proposed method.An observer-based robust H_?controller with dynamic event-triggered is designed for networked systems with unknown periodic Do S attack,considering unknown input disturbances and uncertainties inherited in the system.Firstly,Do S attack with unknown periods is modeled,and state observer and dynamic event-triggered mechanism are designed,and the H_?performance index of closed-loop switching systems is given.Secondly,the sufficient conditions are given for robust stability of networked systems with unknown periodic Do S attack by using Lyapunov function theory and related lemma in the absence of disturbance.Then,considering the disturbance,the sufficient conditions of LMI with H_?performance are obtained by H_?performance index and correlation lemma.Finally,a numerical example is given to verify the effectiveness of the proposed method.The H_?performance parameter is optimized to increase the degree of disturbance suppression by solving the minimization problem.Considering the practical application of research results in this paper,the robust control of active suspension systems based on digital platforms under Do S attack is studied.By analyzing the physical model of active suspension systems,a quarter car model is established as the research object.Combining the robust H_?control theory of networked systems with unknown periodic Do S attack,the co-design parameters of state observer and controller and a dynamic event-triggered mechanism are design for the active suspension systems,and the proposed method,the dynamic event-triggered robust H_?control theory of networked systems with unknown periodic Do S attack,is verified.