Using the Sliding‐Mode PWM Method in an Anti‐Lock Braking System

Abstract

This study attempted to integrate the Pulse Width Modulation (PWM) method and sliding mode control theory to develop quasi-continuous control for an automobile anti-lock braking system. Two controllers are designed in this study. One applies directly by applying quasi-continuous control to achieve ABS slip control. In addition, the quasi-continuous control method was applied to develop pressure tracking control, and then this pressure tracking controller and the acceleration signal of the tire were implemented together to construct an anti-lock braking controller. Both controllers were investigated on a dynamic test stand. Wet road braking was simulated by spraying water on the contact surface between the tire and the flywheel. Excellent braking results not only verify the performance of the sliding PWM method but also provide an alternative to an ABS controller without slip feedback.

Generalized Quasi-Orthogonal Polynomials Applied in Sliding Mode-based Minimum Variance Control of ABS

“…The digital integrator (in the front of sgn (sk)) in (19) should alleviate the chattering phenomenon [32,37]. By substituting (19) in (13), and taking into account (17) and (20), the switching function dynamics can be obtained as:…”

“…Theorem: Let us consider the system described by (13) and (19), where the switching function and its dynamic is given by (17) and (21), respectively. If the parameter  is chosen to satisfy:…”

“…The second order sliding mode using the super-twisting technique to manipulate the braking torque is introduced in [12]. The quasi-continuous control for an automobile ABS is proposed in [13]. Therein, two controllers are developed, one to realize slip control and others for pressure tracking control.…”

Memoryless SMC Design Methods for Stochastic Delay Systems

“…Sliding mode control (SMC) has various attractive features and is well known to be an effective way to handle many challenging problems of robust stabilization. As one of the most popular control methods among the control community, SMC has found wide applications in industry (see, e.g., and the references therein). Generally, SMC uses a discontinuous control law (relays) to drive the state trajectories to a predefined sliding surface in finite time and keep them there, where the system has some desired properties such as stability and disturbance insensitivity (see and ).…”

Time-Varying Sliding Mode Control for ABS Control of an Electric Car

“…Jing et al (2009). M. Wu et al (2001) presented a method integrating the SMC and Pulse Width Modulation (PWM) for slip control. This work was extended and compared with convectional SMC in M. Wu et al (2003) This paper is structured as follows.…”