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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 642949, 9 pages
Research Article

Optimizing Gear Shifting Strategy for Off-Road Vehicle with Dynamic Programming

1School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
2Department of System Design Engineering, University of Waterloo, Waterloo, ON, Canada N2L 3G1

Received 4 April 2014; Revised 28 May 2014; Accepted 6 June 2014; Published 22 June 2014

Academic Editor: Hamid Reza Karimi

Copyright © 2014 Xinxin Zhao 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.


Gear shifting strategy of vehicle is important aid for the acquisition of dynamic performance and high economy. A dynamic programming (DP) algorithm is used to optimize the gear shifting schedule for off-road vehicle by using an objective function that weighs fuel use and trip time. The optimization is accomplished through discrete dynamic programming and a trade-off between trip time and fuel consumption is analyzed. By using concave and convex surface road as road profile, an optimal gear shifting strategy is used to control the longitudinal behavior of the vehicle. Simulation results show that the trip time can be reduced by powerful gear shifting strategy and fuel consumption can achieve high economy with economical gear shifting strategy in different initial conditions and route cases.