Containment Control Of Multi-agent Systems Under Stochastic Impulse Protocol

Multi-agent system is a research hotspot in the development of control theory.Consistency is the most basic problem considered by researchers in multi-agent control.The research of other problems is often based on consistency research.For consistency research,two situations are generally considered in multi-agent systems,one is the research with leaders,the other is the research without leaders.This paper studies the consistency control with multiple leaders,that is,inclusive control-the follower can converge to the convex hull composed of multiple leaders in a certain state.With the development of times and science and technology,the processing of information is becoming more and more huge.Continuous control will make the system unable to bear excessive energy consumption.As a more convenient,robust and effective discontinuous control strategy-pulse control,it reduces the loss of energy.Therefore,it has become the research direction of more and more researchers.This paper studies the consistency of multi-agent system containment control under random impulse protocol,in which impulse control is determined by time trigger mechanism and event trigger mechanism respectively.In multi-agent system,the follower is controlled by pulse protocol to ensure that the containment control can be realized in the desired sense.At the same time,when the impulsive control is attacked by random denial of service(DOS),a time-varying probability is proposed to describe the possibility of each impulsive control system being attacked by DOS,and the impulsive containment control problem of multi-agent system under random Do S attack is studied.The basis of this paper is based on graph theory,matrix theory,Lyapunov stability principle and the comparison principle of impulsive system.The sufficient criterion of impulsive system is given,and the method to ensure the control consistency of the system is given.Finally,simulation and numerical examples are given.The content of this paper is arranged as follows:Chapter 1 makes a detailed statement on the research background and significance of multi-agent system under time trigger mechanism and event trigger mechanism,and gives the current research status at home and abroad.Chapter 2 states the main basic theories that need to be used in the research content,and gives some necessary concepts and definitions in order to solve the problem of inclusive control.Chapter 3 describes the inclusive control of multi-agent system under impulse control protocol.This chapter assumes that impulse control is time triggered,and studies the impulse containment control of multi-agent systems under random Do S attack,that is,when impulse control is attacked by random DOS,a time-varying probability is proposed to describe the possibility of Do S attack for each impulse control system.Chapter 4 assumes that impulsive control is event triggered.Supported by the basic theories of graph theory,matrix theory,Lyapunov stability principle and the comparison principle of impulsive systems,a sufficient criterion for impulsive containment control under random Do S attack is given,and a method to ensure the consistency of system control is also given.Chapter 5 summarizes the research content of this paper,derives the theoretical results and shortcomings,and gives the prospect and expectation of the research that can be done in the future.