Comparative Study of Dynamic Programming and Pontryagin’s Minimum Principle on Energy Management for a Parallel Hybrid Electric Vehicle

Zou Yuan, Liu Teng, Sun Fengchun and Huei Peng
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Zou Yuan: National Engineering Lab for Electric Vehicles, Department of Vehicular Engineering, School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China
Liu Teng: National Engineering Lab for Electric Vehicles, Department of Vehicular Engineering, School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China
Sun Fengchun: National Engineering Lab for Electric Vehicles, Department of Vehicular Engineering, School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China
Huei Peng: Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA

Energies, 2013, vol. 6, issue 4, 1-14

Abstract: This paper compares two optimal energy management methods for parallel hybrid electric vehicles using an Automatic Manual Transmission (AMT). A control-oriented model of the powertrain and vehicle dynamics is built first. The energy management is formulated as a typical optimal control problem to trade off the fuel consumption and gear shifting frequency under admissible constraints. The Dynamic Programming (DP) and Pontryagin’s Minimum Principle (PMP) are applied to obtain the optimal solutions. Tuning with the appropriate co-states, the PMP solution is found to be very close to that from DP. The solution for the gear shifting in PMP has an algebraic expression associated with the vehicular velocity and can be implemented more efficiently in the control algorithm. The computation time of PMP is significantly less than DP.

Keywords: dynamic programming; Pontryagin’s minimum principle; hybrid electric vehicles; gear shifting strategy (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (58)

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