The Research Of Multi-agent Consistencytheory Under The Network Environment

The development of complex network systemis rapidin the last several years. And as the key content of multi agent system cooperative control problem, the consistency protocol has been widely concerned by experts and scholars in different fields, and it also provides the necessary theoretical basis for the research of many fields.This paper is devoted to study of the multi-agent consistency theory under the network environment. From the angle of the pilot follower control to solve the synchronization control problem of multi-agent systems. At the same time, considered the effect of fixed time delay and time-varying delay on synchronous control. In chapter one, the research background and application status of the multi-agent system are briefly introduced, and the problems to be solved are introduced. Finally the main research content and practical significance of this article are introduced. In chapter two, made a brief explanation for the relevant theoretical knowledge are used in this paper, and to lay a good foundation for the follow-up research work in this paper. In chapter three, under the fixed directed topology of the networked multi-agent system consistency problem is studied and analyzed. The effect of time delay on the consistency convergence rate and stability of the system caused by the information transmission and interaction between agents is analyzed, and the motor as an application object. Each motor shall be regarded as an agent. Using the Lyapunov stability theory and the knowledge of graph theory proved that if a single agent body is able to control the view, and between leader and followers of the topology graph contains a spanning tree, then the system achieve the leader following consistency. Finally, the theoretical results are proved by the MATLAB simulation experiment. In chapter four, under the undirected switching topology of the networked multi-agent system consistency problem is studied and analyzed. The effect of time delay on the consistency convergence rate and stability of the system caused by the information transmission and interaction between agents is analyzed. And also the motor as an application object. Using the Lyapunov stability theory and the knowledge of graph theory proved that if a single agent body is able to control the view, and between leader and followers of the topology graph is connected, then the system achieve the leader following consistency. Finally, the theoretical results are proved by the MATLAB simulation experiment. In chapter five, made a summary for this article, and prospected its further research and development of multi-agent consistency problem under the network environment.