### Uittreksel

Taal | Engels |
---|---|

Pagina's | 9654-9666 |

Aantal pagina's | 13 |

Tijdschrift | IEEE Transactions on Vehicular Technology |

Volume | 66 |

Nummer van het tijdschrift | 11 |

DOI's | |

Status | Gepubliceerd - 1 nov 2017 |

### Vingerafdruk

### Trefwoorden

### Citeer dit

*IEEE Transactions on Vehicular Technology*,

*66*(11), 9654-9666. DOI: 10.1109/TVT.2017.2746181

}

*IEEE Transactions on Vehicular Technology*, vol. 66, nr. 11, blz. 9654-9666. DOI: 10.1109/TVT.2017.2746181

**Hybrid vehicle energy management: singular optimal control.** / Delprat, S.; Hofman, T.; Paganelli, S.

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

TY - JOUR

T1 - Hybrid vehicle energy management: singular optimal control

AU - Delprat,S.

AU - Hofman,T.

AU - Paganelli,S.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - Hybrid vehicle energymanagement 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.” This paper 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 paper, a control law is proposed to easily construct a few of them.

AB - Hybrid vehicle energymanagement 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.” This paper 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 paper, a control law is proposed to easily construct a few of them.

KW - Binary variable

KW - Electric machines

KW - Energy management

KW - Engines

KW - Fuels

KW - hybrid vehicle

KW - lookup table

KW - Numerical models

KW - Optimal control

KW - optimal control

KW - singular control

KW - State of charge

UR - http://www.scopus.com/inward/record.url?scp=85028729668&partnerID=8YFLogxK

U2 - 10.1109/TVT.2017.2746181

DO - 10.1109/TVT.2017.2746181

M3 - Article

VL - 66

SP - 9654

EP - 9666

JO - IEEE Transactions on Vehicular Technology

T2 - IEEE Transactions on Vehicular Technology

JF - IEEE Transactions on Vehicular Technology

SN - 0018-9545

IS - 11

ER -