This paper presents a detailed analysis of the optimal energy management problem for a plug-in hybrid electric vehicle (PHEV) solved using the Pontryagin’s minimum principle (PMP). The aim of this analysis is to study the relationships between the control parameters and the vehicle and driving characteristics. In this study, a relationship between the state and co-state trajectories with the battery characteristics has been developed which has not been explored in a similar fashion in prior literature. Results from sensitivity analysis show a strong asymmetry in higher and lower estimation of the initial value of the co-state. A spatial domain analysis is also carried out which shows quasi linearity of the optimal state of charge (SOC) with respect to trip length for a combination of driving cycles. Knowledge gained from this exercise enables us to develop an adaptive energy management strategy.
- Dynamic Systems and Control Division
Analysis of Pontryagin’s Minimum Principle-Based Energy Management Strategy for PHEV Applications
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Sharma, OP, Onori, S, & Guezennec, Y. "Analysis of Pontryagin’s Minimum Principle-Based Energy Management Strategy for PHEV Applications." Proceedings of the ASME 2012 5th Annual Dynamic Systems and Control Conference joint with the JSME 2012 11th Motion and Vibration Conference. Volume 1: Adaptive Control; Advanced Vehicle Propulsion Systems; Aerospace Systems; Autonomous Systems; Battery Modeling; Biochemical Systems; Control Over Networks; Control Systems Design; Cooperative and Decentralized Control; Dynamic System Modeling; Dynamical Modeling and Diagnostics in Biomedical Systems; Dynamics and Control in Medicine and Biology; Estimation and Fault Detection; Estimation and Fault Detection for Vehicle Applications; Fluid Power Systems; Human Assistive Systems and Wearable Robots; Human-in-the-Loop Systems; Intelligent Transportation Systems; Learning Control. Fort Lauderdale, Florida, USA. October 17–19, 2012. pp. 145-150. ASME. https://doi.org/10.1115/DSCC2012-MOVIC2012-8699
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