Magic Formula Tyre Model with Transient Properties

Vehicle longitudinal motion modeling for nonlinear control

“…In this respect, several tire models have been developed with quite different properties, e.g. (Guo and Ren, 2000;Pacejka and Besselink , 1997;Dugoff and Segel, 1990;Gim and Nikravesh, 1990;Kiencke and Nielsen, 2004). For control design use, the most suitable tire model is one that presents the best accuracy/simplicity compromise.…”

“…Guo"s model (Guo and Ren, 2000), Pacejka"s model (Pacejka and Besselink , 1997), Dugoff"s model (Dugoff and Segel, 1970), Gim"s model (Gim and Nikravesh, 1990), Kiencke"s model (Kiencke and Nielsen, 2004). In the present work, Kiencke"s model is retained because it proves to be a good compromise between accuracy and simplicity.…”

Aircraft Anti-Skid Brake Control Based on High-Speed on-off Valve

“…M is the quality of the body; V is the longitudinal velocity; F d is the aerodynamic drag; F f and F v respectively represent the friction and the normal support force between the host wheel and the ground; F L is the gas lift; I t is the rotational inertia of the landing gear's longitudinal oscillation; B t and K t respectively represent the landing gear's longitudinal oscillation damping coefficient and stiffness coefficient; X w is the landing gear's longitudinal oscillation displacement in the center of the wheel; R s and R e are the longitudinal oscillation radius of the landing gear and the host wheel's effective turning radius; I is the rotational inertia of the host wheel; T b and M r represent the wheel's braking torque and rolling resistance moment. The aerodynamic drag force The friction between the host wheel and the ground can be modeled by "magic formula" [15], "Magic formula" expressed the friction as the function of tire slip ratio (20) s r is the tire slip ratio; B, C, D and E are curve fitting coefficient, they have connection with the tire property, ground property and the normal support force. They can be figured out by the following expression:…”

“…On the body movement modeling, this paper used the longitudinal motion equation of single degree of freedom body, for the landing gear's single degree of freedom longitudinal oscillation is only considered, the tire model using magic formula [15].…”

Identifying tyre models directly from vehicle test data using an extended Kalman filter

“…The latter class, introduced by Radt and Pacejka in [1] and developed significantly sinceeg Pacejka [2] -have become the automatic choice in most vehicle handling models for the full range of model applications, from parametric simulation studies to control reference models, to the core of observers.…”