Design of Nonlinear Sliding Mode Controller with Pulse Width Modulation for Vehicular Slip Ratio Control

Abstract

For the control of anti-lock brake system (ABS), a longitudinal four-wheel vehicle model with brake actuator is described and a sliding mode controller with pulse width modulation (PWM) method has been developed for passenger vehicles. In our research, we introduced actuator dynamics in the system equation and derived the equivalent control input theoretically. We propose using the PWM method to compensate for the discrete nature of actuator dynamics by duty control. Stability of the PWM controller for sliding mode control (SMC) was theoretically checked. The effectiveness of the proposed control algorithms was confirmed by vehicle tests on an In-door test bench that was specially constructed for the purpose concerned.