A wheel slip ratio constraint control for ABS based on Tangent Type Barrier Lyapunov Function

Abstract

This paper is concerned with the problem of a wheel slip ratio constraint control for the Antilock Braking System (ABS) with external interferences and state constraints. A quarter vehicle braking model with uncertainties is considered, and a constraint control method based on Tangent Type Barrier Lyapunov Function (Tan-BLF) is designed. In addition, due to the selection of the appropriate adaptive control rate, the designed control method can quickly track the ideal slip ratio and ensure that the slip ratio for ABS is always constrained in the stable region even if there are uncertainties in the control system and unknown external disturbances. The simulation results show that the control scheme proposed in this paper, compared with the traditional QLF controller scheme, can make the vehicle wheel slip rate stable at the optimal value early and keep it in the optimal range from the beginning of the simulation, thus reducing the braking distance and braking time of the vehicle, which means that the vehicle can avoid wheel locking. And the adaptive rate is always bounded.