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

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  • Qiugang Lu
  • Hamid Reza Karimi
  • Kjell Gunnar Robbersmyr

Abstract

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.

Suggested Citation

  • Qiugang Lu & Hamid Reza Karimi & Kjell Gunnar Robbersmyr, 2013. "A Data‐Based Approach for Modeling and Analysis of Vehicle Collision by LPV‐ARMAX Models," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:452391
    DOI: 10.1155/2013/452391
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    References listed on IDEAS

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    1. Zhiwei Gao & Dexing Kong & Chuanhou Gao, 2012. "Modeling and Control of Complex Dynamic Systems: Applied Mathematical Aspects," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Jeong, Kwang-Seuk & Kim, Dong-Kyun & Jung, Jong-Mun & Kim, Myoung-Chul & Joo, Gea-Jae, 2008. "Non-linear autoregressive modelling by Temporal Recurrent Neural Networks for the prediction of freshwater phytoplankton dynamics," Ecological Modelling, Elsevier, vol. 211(3), pages 292-300.
    3. Zhiwei Gao & Dexing Kong & Chuanhou Gao, 2012. "Modeling and Control of Complex Dynamic Systems: Applied Mathematical Aspects," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-5, December.
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