Parameters Estimation of a Tire Model Based on Julien’s Theory

This paper uses an inverse problem approach to estimate parameters of a tire model based on Julien’s Theory (JT). The modeling process of an all-wheel drive (AWD) vehicle is presented in this work, as well as JT and Pacejka’s Magic Formula (MF) tire models. Numerical simulations of the longitudinal vehicle dynamics, considering MF, provide pseudo-experimental data to the inverse problem. Particle Swarm Optimization (PSO), Random Restricted Window (R2W) and Differential Evolution (DE) are used to estimate the parameters of the JT tire model. Accuracy, computational time, efficiency and efficacy of the models are compared regarding the behavior of the performance responses of the vehicle. Throughout this process, Julien’s Theory is validated for use in future studies of vehicle dynamics.