A Cone-based Control On Multi-agent Network Systems With Dynamic Edges

In recent years,with the deepening of human's understanding of nature and the development of technology,more and more networked systems have developed,such as power grid system,distributed control system,internet system,etc.Compared with the conventional method,the research on networked systems combines the control theory and the graph theory,and can be applied to biological science,physical science,system and control science,computer science and other fields.The problems is mainly on consensus,output cooperation and so on.The traditional research on networked system focuses on the nodes of multi-agent systems,which doesn't consider the dynamics of edges influencing the whole dynamics of network.In this thesis,we consider the multi-agent systems with dynamic edges on the basis of dissipativity,and design the internal model controller to solve the consensus and cooperation problem.The specific work is shown as follows:Firstly,the characteristics and indirect control methods of the interior conic system are studied.Based on the related concepts and properties of the interior conic system in the past,the similarities and differences between the interior conic system,passive system,finite gain system and finite frequency passivity are analyzed.Also the corresponding indirect synthesis design method is obtained based on KYP lemma and some conclusions in linear matrix inequality.In order to illustrate the advantages of the such systems,the amplitude and phase margin of two interior conic systems are calculated,and the relevant theory is applied to the simulation of a buck circuit.Secondly,the relevance between interior cone of the network and that of the node is studied.Based on the KYP lemma it can be got that how the node cone influences the whole network,which can contribute to controller design accurately.According to the internal model control,graph theory and other related methods used widely in the past literatures,the consensus problem of multi-agent system with dynamic edges is solved.Finally,the output cooperation problem is solved based on the internal model control and cone-based control.A simulation on power grid is used to verify the accuracy of the controller and relevant convergence rate.The cone-based controller overcomes the shortage of the narrow applications of passivity-based design,and can be applicable to a wider class of multi-agent systems.