To realize the function of automatic stop control of the urban rail vehicle
a nonlinear brake model with input delay is built based on the operational principle and dynamics of the electro-pneumatic brake system. This model overcomes the shortcoming that actual brake deceleration is almost unmeasurable in conventional model. To deal with the nonlinearity and input delay in the model
a new backstepping stop controller based on Krasovskii functional operators is proposed. During the brake process
the presented controller can eliminate the effects due to brake shoe friction coefficient and brake system delay. With the prediction scheme and backstepping technique
the main improvement of this algorithm is that the error signal is expressed by two Krasovskii functional operators
one of which is exponentially stable. Based on Lyapunov-Krasovskii theorem
the stability and convergent behavior of the closed-loop train control system are proved. To confirm the correctness of the proposed automatic stop controller
the brake system is simulated by Matlab tools. Simulation results illustrate that this method can obtain high stop accuracy
and guarantee the operational stability of the urban rail vehicle.
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