A Study On Consensus And Bipartite Consensus Of Multi-agent Systems With Communication Constraints

The consensus protocol of fractional-order multi-agent systems with communication constraints and bipartite consensus protocol of multi-agent systems with communication constraints are studied in this thesis,and applies it to cyber-physical power systems.In this study,a series of consensus protocols are proposed to ensure that the states of each generator's rotor angle and rotor speed will eventually reach timevarying common value,the position and speed states of each agent reach time-varing bipartite consensus eventually as well as.Two types of communication constraints,including event-triggered sampling and partial information transmission are considered to make consensus protocols more realistic.In this study,it can be strictly proved that Zeno-behavior is avoid during the system's sampling process,which ensures the effectiveness of consensus protocol.The correctness of the proposed consensus protocols are demonstrated by numerical examples.The main contents of the paper are described as follows:The first chapter introduces the background and the research status of cyberphysical power systems and multi-agent systems.Some basic definitions and preliminaries are given.In the second chapter,a fractional-order multi-agent model is established to research rotor angle stability problem of cyber-physical power system.Considering the communication constraints include partial information transmission and event-triggered sampling,the designed control input is more practical and the system achieves the purpose of energy saving during the whole running process.We design the event condition for each node to get an event-triggered sampling strategy.The sufficient consensus conditions of the cyber-physical power system can be obtained.The MATLAB software is used for numerical simulation to verify the feasibility of the proposed control strategy.The correctness of the theoretical result is demonstrated by a numerical example.In the third chapter,the bipartite consensus problem of multi-agent systems with partial information transmission constraint is considered.The bipartite consensus problem is transformed as a stability problem of an error system.The sufficient conditions for bipartite consensus of the multi-agent system are obtained.The correctness of the theoretical result are demonstrated by a numerical example.In the last chapter,we summary our works and make a prospect of the future work.