The Consensus Of Multi-Agent System And Its Applications In Power System

In recent years,there has been tremendous interest of coordination control problems of multi-agent system in engineering field.As the basis of coordination control for multi-agent system,consensus problems have been applied in formation control,swarming control,flocking and synchronization extensively,and fruitful results have been obtained.This paper mainly focuses on the consensus problems of multi-agent system with delay,noise and limited bandwidth.And its applications in power system have also been considered.Based on event-triggered control scheme,for first-order multi-agent system,ptractical group tracking consensus without delay and multi-consensus with delay are both considered,in which the corresponding consensus protocols are proposed by utilizing graph theory,matrix theory and Lyapunov theory.Similarly,for second-order multi-agent systems,pinning consensus without delay and leader-following consensus with delay are invetigated,wherein dynamic event-triggered and self-triggered control schemes are adopted to reduce controller's updating frequency.Besides,when considering random multi-agent system with non-white noise,the consensus in probability without delay based on event-triggered control and predictive scheme,and mean-square consensus with delay based on event-triggered control are both studied by using Lyapunov theory and stochastic analysis.Furthermore,in view of economic dispatch problem of power system,event-triggered and self-triggered control based consensus algorithms are designed by applying optimization theory and matrix theory,such that optimal generation values are meeted under limited communication bandwidth and communication delay while respecting power capacity limits of power system,thereby minimizing power operation cost.Finally,the feasibility and effectiveness of the proposed consensus control protocols are proved by simulations.