Integration of magic formula tire model with vehicle handling model

Abstract

A tire model is required in order to study the dynamic behavior of a vehicle when designing control system such as electronic stability control. In this study, Magic Formula tire simulator model was implemented using Matlab Simulink block diagram. Tire modeling is the first step needed where vehicle handling stability needs to be investigated. The model was implemented based on a set of mathematical equations. The tire model is integrated with a 3 degree of freedom (3-DOF) vehicle handling model was also implemented. This handling model was developed based on Newton’s second law equation of motion. Responses of interest for handling model are yaw motion, roll motion and pitch motion. Simulink blocks that represent tire responses are simplified into 3 subsystems that generated longitudinal force, Fx, lateral force, Fy, and aligning moment, Mz. The responses of every tire are observed. The four tire responses are needed to compute vehicle handling response. The implemented models was validated using simulation software, Carsim. For the validation procedure, Double Lane Change (DLC) test was used. The output variables generated from the implemented model are compared with Carsim output variables. The validation results are discussed. Once the models have been validated, the Magic Formula and vehicle handling model were used as a subsystem for designing a controller for vehicle handling stability.