Distributed Fixed-time Cooperative Cruise Control for Train Formation

This paper investigates the fixed-time cooperative cruise control problem for train formation by using preceding neighboring information under uncertain basic and air resistances. Partially inspired by the prescribed performance control methodology, a new distributed fixed-time cooperative cruise control scheme is designed for multiple trains to obtain higher convergence precision and faster convergence rate. The proposed method hold three features: i), based on fixed-time theory, the high-speed trains in formation can reach the desired cruise speed in a determined time; ii), the intervals between adjacent trains can be adjusted from different initial values to the same; iii), the uncertain air resistance problem is solved by utilizing the virtual parameter adaptation technique. Based on Lyapunov stability analysis and fixed-time theory, all close-loop signals are bounded after a fixed time. Numerical simulation results demonstrate the effectiveness of proposed control approach.