MATLAB Code Implementation of Single-Wheel ABS Simulation

Single-wheel ABS simulation serves as a fundamental model in vehicle dynamics research, primarily used to simulate the dynamic behavior of Anti-lock Braking Systems during emergency braking. This simulation allows visual observation of the coupling relationship between wheel slip ratio, braking torque, and vehicle speed, providing reference basis for practical ABS control algorithm design. The core implementation approach includes: Dynamic Modeling Establish single-wheel dynamic equations including wheel rotational dynamics and vehicle translational motion. The difference between wheel angular velocity and vehicle linear velocity generates slip ratio, which is the key parameter for ABS control. The Magic Formula tire model is typically implemented to calculate longitudinal forces between tire and road surface. In MATLAB code, this involves defining differential equations for wheel rotation (using moment of inertia) and vehicle motion (using Newton's second law). Control Logic Design The core of ABS involves regulating brake pressure to maintain slip ratio within the optimal range (typically 10%-30%). Common control methods include threshold control or PID control, where braking torque is dynamically adjusted through real-time slip ratio monitoring. Code implementation requires creating control functions that calculate error signals and apply appropriate control algorithms to modulate brake pressure. Numerical Solution Use MATLAB's ODE solvers (such as ode45) for numerical integration of differential equations to simulate state changes during braking. Special attention should be paid to discretization of brake pressure and selection of simulation time steps. The implementation involves defining state variables (wheel speed, vehicle speed) and using solver functions with appropriate event detection for brake pressure transitions. Extension Considerations: Incorporate scenarios with sudden changes in road adhesion coefficient to verify ABS robustness Compare performance differences of various control strategies (such as fuzzy control and sliding mode control) under the same model framework This model can be extended to full-vehicle ABS simulation with four-wheel independent control