Slope Shift Strategy for Automatic Transmission Vehicles Based on the Road Gradient

  • Fanjing Meng
  • Hui Jin


Motivated by the development of high-precision digital maps for advanced driver assistance system (ADAS) in recent years, this study provides a new approach to solve the problems of the conventional automatic transmission vehicle travelling on sloping roads. Based on vehicle dynamics, shift problems on hilly roads are analyzed. A novel intelligent shift strategy is proposed, which consists of a dynamic shift schedule for the uphill, a safety shift schedule for the downhill, and a comprehensive economical shift schedule for the gentle slopes. A set of driver-in-loop co-simulation tests was conducted in a driving simulator that is equipped with a MATLAB/Simulink dynamics simulation platform. The test results verified the effectiveness of the new intelligent shift strategy. With the road information provided by a high-precision digital map, busy shifting can be eliminated, and improved dynamic performance can be achieved for a vehicle travelling on the uphill roads; undesired upshift can be prevented, and engine traction resistance can be used to relieve the load of braking system when a vehicle travelling on the downhill roads; also, fuel consumption can be reduced for a vehicle travelling on a gently sloped road. Consequently, this novel intelligent shift strategy offers a reliable and effective solution for improving a vehicle’s driving performance on a hilly road.

Key words

Automatic transmission vehicle Vehicle dynamics Shift problems on hilly roads Intelligent shift strategy on slopes Simulation analysis 



road gradient force, N


rolling resistance, N


aerodynamic drag, N


equivalent engine resistance, N


road gradient force, N


vehicle mass, kg


acceleration of gravity, m/s2


longitudinal road gradient, rad


rolling resistance coefficient


vehicle drag coefficient


front area of the vehicle, m2


vehicle speed, km/h


engine braking torque, N·m


gear ratio for each gear position


final drive ratio


transmission efficiency


radius of the tire, m


correction coefficient of the rotating mass at different gear positions


moment of inertia of wheel, kg·m2


moment of inertia of flywheel, kg·m2


acceleration of the vehicle, m/s2


equivalent external driving force, N


output torque of the engine, N·m


throttle opening


engine speed, rpm


fitting regression coefficient


logarithm of the steady-state fuel consumption rate, cc/s


transient correction for the steady-state fuel consumption rate, cc/s


instantaneous fuel consumption, cc/s


model regression coefficient


per mile fuel consumption, cc/m


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Copyright information

© The Korean Society of Automotive Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanical Engineering, Department of Vehicle EngineeringBeijing Institute of TechnologyBeijingChina

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