Fuzzy Logic based Modelling and Simulation Approach for the estimation of Tire Forces

Abstract Tire modeling is an important aspect of vehicle dynamics as the forces and moments required to control the vehicle's motion are eventually transmitted through the tire and the tire road interface is also an important source for the dynamic excitation of the vehicle. This paper presents a fuzzy logic based approach for estimating tire forces, aligning moment of tire for the different slip ratio and slip angles. Proposed fuzzy logic approach requires slip angle and slip ratio, as the input variables, and estimates the longitudinal force, lateral force, aligning moment as the output variables. Membership functions of input, output variables and fuzzy rules are formulated based on the values obtained using the widely adopted Magic formula for tire model. Simulation values for longitudinal, lateral forces and aligning moment of the tire using the proposed fuzzy model is found to provide good correlation with the magic model. Proposed fuzzy logic frame work does not require the estimation of model parameters used in the Magic formula and it will be useful in developing vehicle control system.

[1]  James Lacombe Tire model for simulations of vehicle motion on high and low friction road surfaces , 2000, 2000 Winter Simulation Conference Proceedings (Cat. No.00CH37165).

[2]  Chuen-Chien Lee FUZZY LOGIC CONTROL SYSTEMS: FUZZY LOGIC CONTROLLER - PART I , 1990 .

[3]  Junmin Wang,et al.  Combined Tire Slip and Slip Angle Tracking Control for Advanced Vehicle Dynamics Control Systems , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[4]  Carlos Canudas-de-Wit,et al.  Dynamic tyre friction models for combined longitudinal and lateral vehicle motion , 2005 .

[5]  Hans B. Pacejka,et al.  The SWIFT tyre model : overview and applications , 2004 .

[6]  P. A. Cowell,et al.  Lateral tyre dynamic characteristics , 1994 .

[7]  Huang Chen,et al.  Comparative Study between the Magic Formula and the Neural Network Tire Model Based on Genetic Algorithm , 2010, 2010 Third International Symposium on Intelligent Information Technology and Security Informatics.

[8]  T. Ross Fuzzy Logic with Engineering Applications , 1994 .

[9]  Hans B. Pacejka,et al.  THE MAGIC FORMULA TYRE MODEL , 1991 .

[10]  S. Glaser,et al.  Tire-road forces estimation using extended Kalman filter and sideslip angle evaluation , 2008, 2008 American Control Conference.

[11]  J. A. Cabrera,et al.  An Alternative Method to Determine the Magic Tyre Model Parameters Using Genetic Algorithms , 2004 .

[12]  Pakharuddin Mohd. Samin,et al.  Integration of Magic Formula Tire Model with Vehicle Handling Model , 2012 .

[13]  Karl Hedrick,et al.  Estimation of the Maximum Tire-Road Friction Coefficient , 2003 .