Optimal parameter estimation in semi-empirical tire models. (January 2019)

• Record Type: Journal Article
• Authors: López, Alberto; Olazagoitia, José Luis; Marzal, Francisco; Rubio, María Rosario
• Other Names: Smith Gregory guest-editor.; Blundel Mike guest-editor.
• Is Part Of: Proceedings of the Institution of Mechanical Engineers. Volume 233:Number 1(2019:Jan.)
• Page Start: 73
• Page End: 87
• Publication Date: 2019-01
• Subjects: Orthogonal curve fitting -- orthogonal residues -- Pacejka's magic formula -- tire model -- tire parameter estimation; Mechanical engineering -- Congresses; Transportation engineering -- Congresses; 629.2
• DOI: 10.1177/0954407018779851
• Languages: English
• ISSNs: 0954-4070

Abstract

Semi-empirical tire models are mathematical models, the parameters of which are identified after a process of error reduction to fit experimental data obtained in the laboratory. In this process, the algorithms used for estimating the model parameters are usually based on nonlinear least-squares fitting methods, in which only vertical residuals between the model and the test points are considered. Although extensively utilized, this type of fitting implicitly considers that errors in the slip data (horizontal residuals) are either nonexistent or negligible, which is not true. This paper introduces a new methodology to the identification of semi-empirical tire model parameters based on weighed orthogonal residuals, which takes into account possible errors inherent in the test measurements of dependent and independent variables. The results show that the methodology offers a reliable parameter identification providing an even fitting for all the zones of the mathematical semi-empirical tire model.