Filter And Control Of Markov Jump Systems With Event-Triggering Scheme Under DoS Jamming Attacks

Nowadays,with the increasing development of communication and information technology,computer technology and control theory,a networked control system composed of computer networks and automatic control technology is also gradually used in industrial production.The Markov Jump System(MJS)is a hybrid dynamic system with multiple modes.It expresses the process of the system jumping between different modes through a set of Markov chains.Some structures and parameters in actual industrial production may generate random transitions,so they are usually modeled on Markov transition systems.In recent years,Markov transition systems have been widely used in power systems,control engineering systems,robot systems,ecosystems,economic systems,transportation and other fields.Although a series of achievements have been made regarding the controller and filter design of this system,there are still some shortcomings.First,the trigger mechanism considered by most scholars is based on time trigger,which will be a lot of waste.Communication channel,thereby reducing the efficiency of network communication.Secondly,in addition to network communication technologies used in industrial sites,some network packet loss,transmission delay and other problems may be encountered,as well as malicious network attacks,which will have an inestimable impact on system performance.There is little literature on the research of Markov transition systems under network attacks,and network security is a problem that cannot be ignored in practical industry.Therefore,based on the analysis of the above problems,combining cyber attacks with event triggering mechanisms has profound practical significance and theoretical value.Based on the analysis of the above problems,this paper introduces Do S attacks with unknown period under the framework of Markov transition system based on event trigger mechanism,and proposes corresponding controller and filter design methods.The main research work of the paper can be summarized as follows:Aiming at the problem of aperiodic denial of service attack,the design method of H? filter for Markov Jump System based on event-triggered mechanism is studied.Firstly,a signal model of aperiodic denial of service attack is defined.According to the nature of the attack signal and the input signal of the filter,the filter signal input equation under the attack model is derived.Then establish a mathematical model of the event trigger mechanism,and consider the impact of the event trigger mechanism and the denial of service attack on the system at the same time,establishthe filter error equation of the Markov transition system,and then use the piecewise Lyapunov function to study this.The stability conditions of the system and H? stability,and the filter gain matrix is solved by linear matrix inequality.Finally,a practical simulation case is used to prove the practical feasibility of the theory.Aiming at the problem of aperiodic denial-of-service attack,the design method of H ?controller for Markov Jump System based on event-triggered mechanism is studied.Firstly,a signal model of aperiodic Do S attack is defined.According to the nature of the attack signal,the control gain model under the attack model is derived.Then establish the controller equation of the Markov jump system,and then use the Lyapunov function to study the mean square stability of the system.Condition,and the control gain matrix is solved by linear matrix inequality.Finally,a practical simulation case is used to prove the practical feasibility of the theory.Aiming at the problem of aperiodic denial-of-service attack,the quantitative H? filtering of Markov Jump Systems based on event-triggered mechanism is studied.A signal model of aperiodic denial of service attack is defined.Then,the mathematical model of event triggering mechanism is established.The filtering error equation of the takeoff system is established,and then the piecewise Lyapunov function is used to study the H ? stability condition of the system,which proves the feasibility of the theory.