TY - JOUR
T1 - Determination of Magic Formula Tyre Model Parameters Using Homotopy Optimization Approach
AU - Zhang, Kaidi
AU - Duan, Yupeng
AU - Yang, Xiaobo
AU - Yang, James
AU - Zhang, Yunqing
N1 - Funding Information:
This research was supported by the National Natural Science Foundation of China (No. 11772136). This financial support is gratefully acknowledged.
Publisher Copyright:
© 2020 SAE International. All Rights Reserved.
PY - 2020/4/14
Y1 - 2020/4/14
N2 - Tyre behavior plays an important role in vehicle dynamics simulation. The Magic Formula Tyre Model is a semi-empirical tyre model which describes tyre behavior quite accurately in the handling simulation. The Magic Formula Tyre Model needs a set of parameters to describe the tyre properties; the determination of these parameters is nontrivial task due to its nonlinear nature and the presence of a large number of coefficients. In this paper, the homotopy algorithm is applied to the parameter identification of Magic Formula tyre model. A morphing parameter is introduced to correct the optimization process; as a result, the solution is directed converging to the global optimal solution, avoiding the local convergence. The method uses different continuation methods to globally optimize the parameters, which ensures that the prediction of the Magic Formula model can be very close to the test data at all stages of the optimization process. The results show that, compared with the general deterministic optimization methods and intelligent search algorithms, the homotopy algorithm has better global optimization ability and rapid convergence, which is an effective method to identify the parameters of Magic Formula tyre model.
AB - Tyre behavior plays an important role in vehicle dynamics simulation. The Magic Formula Tyre Model is a semi-empirical tyre model which describes tyre behavior quite accurately in the handling simulation. The Magic Formula Tyre Model needs a set of parameters to describe the tyre properties; the determination of these parameters is nontrivial task due to its nonlinear nature and the presence of a large number of coefficients. In this paper, the homotopy algorithm is applied to the parameter identification of Magic Formula tyre model. A morphing parameter is introduced to correct the optimization process; as a result, the solution is directed converging to the global optimal solution, avoiding the local convergence. The method uses different continuation methods to globally optimize the parameters, which ensures that the prediction of the Magic Formula model can be very close to the test data at all stages of the optimization process. The results show that, compared with the general deterministic optimization methods and intelligent search algorithms, the homotopy algorithm has better global optimization ability and rapid convergence, which is an effective method to identify the parameters of Magic Formula tyre model.
UR - http://www.scopus.com/inward/record.url?scp=85083852229&partnerID=8YFLogxK
U2 - 10.4271/2020-01-0763
DO - 10.4271/2020-01-0763
M3 - Conference article
AN - SCOPUS:85083852229
VL - 2020-April
JO - SAE Technical Papers
JF - SAE Technical Papers
SN - 0148-7191
IS - April
Y2 - 21 April 2020 through 23 April 2020
ER -