Hybrid vehicle energy management: singular optimal control

S. Delprat, T. Hofman, S. Paganelli

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

6 Citaties (Scopus)

Uittreksel

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.
TaalEngels
Pagina's9654-9666
Aantal pagina's13
TijdschriftIEEE Transactions on Vehicular Technology
Volume66
Nummer van het tijdschrift11
DOI's
StatusGepubliceerd - 1 nov 2017

Vingerafdruk

Singular Control
Energy Management
Energy management
Hybrid vehicles
Optimal Control
Strict Convexity
Internal Combustion Engine
Minimum Principle
Linear Interpolation
Look-up Table
Optimal Control Problem
Hamiltonians
Table lookup
Engine
Trajectory
Binary
Internal combustion engines
Fuel consumption
Interpolation
Trajectories

Trefwoorden

    Citeer dit

    Delprat, S. ; Hofman, T. ; Paganelli, S./ Hybrid vehicle energy management: singular optimal control. In: IEEE Transactions on Vehicular Technology. 2017 ; Vol. 66, Nr. 11. blz. 9654-9666
    @article{71fa69dfdab9443fb521c513ebe2cf6d,
    title = "Hybrid vehicle energy management: singular optimal control",
    abstract = "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.",
    keywords = "Binary variable, Electric machines, Energy management, Engines, Fuels, hybrid vehicle, lookup table, Numerical models, Optimal control, optimal control, singular control, State of charge",
    author = "S. Delprat and T. Hofman and S. Paganelli",
    year = "2017",
    month = "11",
    day = "1",
    doi = "10.1109/TVT.2017.2746181",
    language = "English",
    volume = "66",
    pages = "9654--9666",
    journal = "IEEE Transactions on Vehicular Technology",
    issn = "0018-9545",
    publisher = "Institute of Electrical and Electronics Engineers",
    number = "11",

    }

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

    In: IEEE Transactions on Vehicular Technology, Vol. 66, Nr. 11, 01.11.2017, blz. 9654-9666.

    Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer 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 -