Finite-Time Control of High-Speed Train With Guaranteed Steady-State and Transient Performance

With considering the inevitable factors of input nonlinearity, aerodynamic resistance, in-train force, external disturbance and unknown actuator failures, this paper investigates the position/velocity finite-time tracking control problem of high-speed train (HST) to improve the steady-state (tracking accuracy) and transient performance (overshoot and settling time) of the traction/braking control system. Since the traction/braking control system of HST requires rapid reaction speed to ensure the safe and reliable operation, an integer-order finite-time controller (IO-FTC) is developed firstly by utilizing finite-time control theory to improve the system transient performance. On the basis of ensuring the system transient performance, a fractional-order finite-time controller (FO-FTC) is designed by using the fractional stability principle and fractional integral to further improve the system steady-state performance and its robustness and anti-jamming capability. It should be noted that both IO-FTC and FO-FTC are essentially independent of the system model and can produce proper traction/braking force with only the actual and desired position/velocity of the leading vehicle. And the settling time of the system can be adjusted through the selection of different control parameters. The feasibility and effectiveness of the designed controllers are verified by theoretical analysis and simulation studies. And the developed methods are compared with the PID controller. Simulation results make it clear that the proposed methods are superior to PID.