Research On Formation-containment And Second-order Consensus Of Multi-agent Systems Via Impulsive Algorithms

In many fields such as physics,information science,and biology,the applications of multi-agent systems(such as robot formations,satellites,and unmanned aerial vehicles,etc.)are becoming more and more wider.Researchers have begun to use them engaging in some dangerous production labor,replacing a single system to perform complex tasks or using it to substantially increase production efficiency,etc.the applications of multi-agent systems are based on the theoretical basis of multi-agent systems.Therefore,the research of multi-agents system has gradually become a hot research topic.In this paper,based on graph theory,Lyapunov stability theory and impulsive strategies,the problems about formation-containment of high-order linear multi-agent system and second-order consensus problem of nonlinear dynamic multi-agent systems are studied.The numerical simulation is carried out with the MATLAB software to verify the correctness of the theory.The main contents of the paper are described as follows.In first chapter,we summarize the research background and research status of multi-agent system,and give some basic definitions and preliminaries of the paper.In second chapter,the control of formation-containment of linear high-order sys-tems is studied via impulsive control.The time-varying formation control problems of leaders with three impulses were respectively studied using the average impulsive interval.At the same time,the time-varying containment control of followers is also studied.The time-varying formation control problems of leaders and the time-varying containment control problems of followers were transformed into the asymptotically sta-ble problems separately.A sufficient condition is given to realize formation-containment control problem.Finally,a numerical simulation is used to verify the effectiveness of the paper.In chapter three,impulsive control strategy is used to discuss the second-order consensus problem of nonlinear dynamic multi-agent systems.An impulsive control strategy is proposed via the state of each node to explore the nonlinear system.A sufficient condition is given to solve the second-order consensus problem of the nonlinear multi-agent system by the Lyapunov theory and the sync pulse.Finally,the numerical simulation is used to verify the multi-agent system based on the fixed topology,which confirms the feasibility of the control strategy proposed in this paper.In chapter four,we summarize the full text,and look forward to the related research work in the future.