Distributed Finite-Time Prescribed Performance Cooperative Control of High-speed Trains

High-performance (i.e. transient performance and steady-state performance) cooperative control of high-speed trains is critically important, but the related research is rarely studied. For this problem, a new distributed specified performance control scheme based on backstepping is proposed, which can ensure that all trains track the expected speed and keep a fixed safe distance, and at the same time make the tracking errors tend to the prescribed region with different threshold within a finite-time. Specifically, an improved finite-time prescribed performance function with multilevel threshold is constructed for multi-trains system, which can realize flexible adjustment of preset transient and steady-state performance in different operation stages. Finally, the effectiveness of the proposed control strategy was verified through a simulation example.