Research On Fixed-time Containment Control For Multi-agent Systems

In recent years,cooperative control of multi-agent systems has received extensive concern of scholars because of its wide application.As an important part of cooperative control for multi-agent systems,containment control means that by utilizing appropriate control algorithms,such that the states of all followers converge to the convex hull spanned by the leaders.It has more extensive engineering application value.However,in actual application,it is more practical for multi-agent systems to realize containment control in fixed time.Therefore,this dissertation mainly investigative the fixed-time containment control for multi-agent systems.The specific contents are as follows:On the one hand,we study the fixed-time quasi-containment control problem for multi-agent systems with antagonistic nodes.According to graph theory and stability theory,a new control input is constructed so that the system with antagonistic nodes can realize quasi-containment control in fixed time.Moreover,the settling time for the system to realize fixed-time quasi-containment control is given.Finally,it is verified by Matlab simulation.On the other hand,we consider the fixed-time bipartite containment control problem for multi-agent systems with disturbances.According to graph theory and stability theory,a new control input is constructed so that the system with disturbances can achieve fixed-time bipartite containment control.Moreover,the settling time for the system to achieve fixed-time bipartite containment control is given.Finally,some simulated examples are given to demonstrate it.