Generalized projective control for leader-following multi-agent systems with predefined-time

Formation flight is the most typical collaborative scenario of Unmanned Aerial Vehicles (UAVs) clusters, which can be used to perform various complex tasks. The most fundamental issue in UAVs formation flying is the consistency problem. In this paper, we study the predefined-time group generalized projective synchronization of the leader-follower multi-agent systems with different dimensions of the states. A simple controller is designed based on a predefined-time stability theory. Regardless of the initial value, the controller can bring followers with different dimensions to the same state as the leader within a predefined-time. Furthermore, we explore the generalized projective synchronization and group generalized projective synchronization, where the predefined-time parameters in the controller can take arbitrary values. Finally, three simulations are given to demonstrate the validity of main results. •The predefined-time group generalized projective synchronization of leader-follower multi-agent systems is studied.•Taking the predefined-time as a parameter in the controller, the systems can achieve synchronization within the predefined-time.•Simulations are supplied to confirm the effectiveness and advantages of the main results and application scheme.