Implementation of an Optimal Control Energy Management Strategy in a Hybrid Truck

Mullem, Dominique Johannes van; Keulen, T.A.C. van; Kessels, J.T.B.A.; Jager, Bram de; Steinbuch, M Maarten

doi:10.3182/20100712-3-de-2013.00067

Cited by 15 publications

(13 citation statements)

References 8 publications

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“…The hybrid vehicle energetic performance is there reduced to the fuel consumption. In this work, the focus is on Pontryagin's Minimum Principle, which has been studied intensively over the last decade [3,4]. The algorithm implemented is quite common and is described in [5,6].…”

Section: Problem Statementmentioning

confidence: 99%

“…In many cases [10], [4], it is assumed that the driving cycle power   wt is piecewise constant, where s T is the sampling period and w n is the number of samples:…”

Section:  mentioning

confidence: 99%

“…This constant co-state is a well-known consequence of the chosen state-independent energy storage system model [4]:…”

Section: B Pontryagin's Minimum Principlementioning

confidence: 99%

“…For instance, the set of admissible Specific fuel consumption > REPLACE THIS LINE WITH YOUR PAPER IDENTIFICATION NUMBER (DOUBLE-CLICK HERE TO EDIT) < 5 minimum is estimated by evaluating the Hamiltonian at each grid node, [10], [4] and [28]. As a result, an approximate Hamiltonian minimization is obtained.…”

Section: Classical Implementation Of Pontryagin's Minimum Principlementioning

confidence: 99%

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Hybrid Vehicle Energy Management: Singular Optimal Control

Delprat

Hofman

Paganelli

2017

IEEE Trans. Veh. Technol.

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Abstract-Hybrid vehicle energy management is often studied in simulation as an optimal control problem. Under strict convexity assumptions, a solution can be developed using Pontryagin's Minimum Principle. In practice, however, many engineers do not formally check these assumptions resulting in the possible occurrence of so-called unexplained "numerical issues". The present work intends to explain and solve these issues. Due to the binary controlled-state variable considered (e.g., switching on/off an internal combustion engine) and the use of a lookup table with linear interpolation (e.g., engine fuel consumption map), the corresponding Hamiltonian function can have multiple minima. Optimal control is not unique. Moreover, it is defined as being singular. Consequently, an infinite number of optimal state trajectories can be obtained. In this work, a control law is proposed to easily construct a few of them.

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Section: Problem Statementmentioning

confidence: 99%

“…In many cases [10], [4], it is assumed that the driving cycle power   wt is piecewise constant, where s T is the sampling period and w n is the number of samples:…”

Section:  mentioning

confidence: 99%

“…This constant co-state is a well-known consequence of the chosen state-independent energy storage system model [4]:…”

Section: B Pontryagin's Minimum Principlementioning

confidence: 99%

Section: Classical Implementation Of Pontryagin's Minimum Principlementioning

confidence: 99%

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Hybrid Vehicle Energy Management: Singular Optimal Control

Delprat

Hofman

Paganelli

2017

IEEE Trans. Veh. Technol.

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“…This means that type I.I power flow is achieved by using equations (9) and (10), which allow evaluation of the gear ratios k 1 and k 2 of the planetary gear trains.…”

Section: Kinematic Analysis Of a Compound Split Transmissionmentioning

confidence: 99%

A simple model for compound split transmissions

Pinto

Mantriota

2013

Proceedings of the Institution of Mechanical Engineers, Part D:

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Hybrid vehicles are the most promising technologies that can lead to significant improvements in the efficiency and the performance of a vehicle through several drivetrain architectures. The automotive research is direct towards architectures with multiple modes. In this context, design and optimal control models of these transmissions are of great importance. In order to obtain a simple model, we propose a novel and original approach for evaluating the performance of a compound electric continuously variable transmission. A 'four-port mechanical power-split device' is examined and, using this, a novel method is described by considering an 'equivalent electric continuously variable transmission' within a power split. Finally, kinematic conditions are obtained to evaluate which power flow occurs and to determine simple models for the efficiency of the transmission.

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