Journal of Applied Mathematics
Volume 2013 (2013), Article ID 452391, 9 pages
Research Article

A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX Models

Department of Engineering, Faculty of Engineering and Science, University of Agder, P.O. Box 509, 4898 Grimstad, Norway

Received 30 March 2013; Revised 21 May 2013; Accepted 21 May 2013

Academic Editor: Zhiwei Gao

Copyright © 2013 Qiugang Lu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Vehicle crash test is considered to be the most direct and common approach to assess the vehicle crashworthiness. However, it suffers from the drawbacks of high experiment cost and huge time consumption. Therefore, the establishment of a mathematical model of vehicle crash which can simplify the analysis process is significantly attractive. In this paper, we present the application of LPV-ARMAX model to simulate the car-to-pole collision with different initial impact velocities. The parameters of the LPV-ARMAX are assumed to have dependence on the initial impact velocities. Instead of establishing a set of LTI models for vehicle crashes with various impact velocities, the LPV-ARMAX model is comparatively simple and applicable to predict the responses of new collision situations different from the ones used for identification. Finally, the comparison between the predicted response and the real test data is conducted, which shows the high fidelity of the LPV-ARMAX model.