Hybrid vehicle optimal control: Linear interpolation and singular control

S. Delprat, T. Hofman

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

8 Citations (Scopus)
3 Downloads (Pure)

Abstract

Hybrid vehicle energy management can be formulated as an optimal control problem. Considering that the fuel consumption is often computed using linear interpolation over lookup table data, a rigorous analysis of the necessary conditions provided by the Pontryagin Minimum Principle is conducted. For most the co-state values, the control value is well defined and can be computed without any interpolation but this only generate a finite set of state trajectory. To compute the remaining trajectories, it is necessary to consider specific co-state values that generate singular controls. An algorithm is provided for the optimization of both the APU power and binary state and an infinite number of optimal solutions can be constructed.

Original languageEnglish
Title of host publication2014 IEEE Vehicle Power and Propulsion Conference, VPPC 2014
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Print)9781479967834
DOIs
Publication statusPublished - 12 Jan 2015
Event10th IEEE Vehicle Power and Propulsion Conference (VPPC 2014) - Parque Verde , Coimbra, Portugal
Duration: 27 Oct 201430 Oct 2014
Conference number: 10
http://www.vppc2014.org/

Conference

Conference10th IEEE Vehicle Power and Propulsion Conference (VPPC 2014)
Abbreviated titleVPPC 2014
CountryPortugal
CityCoimbra
Period27/10/1430/10/14
Other"Spreading E-Mobility Everywhere"
Internet address

Fingerprint

Hybrid vehicles
Interpolation
Trajectories
Table lookup
Energy management
Fuel consumption

Keywords

  • Hybrid vehicle
  • Interpolation
  • Lookup table
  • Optimal control
  • Singular control

Cite this

Delprat, S., & Hofman, T. (2015). Hybrid vehicle optimal control: Linear interpolation and singular control. In 2014 IEEE Vehicle Power and Propulsion Conference, VPPC 2014 [7007080] Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/VPPC.2014.7007080
Delprat, S. ; Hofman, T. / Hybrid vehicle optimal control : Linear interpolation and singular control. 2014 IEEE Vehicle Power and Propulsion Conference, VPPC 2014. Piscataway : Institute of Electrical and Electronics Engineers, 2015.
@inproceedings{051d6df3d53e474e9c8c56e0f2c90db3,
title = "Hybrid vehicle optimal control: Linear interpolation and singular control",
abstract = "Hybrid vehicle energy management can be formulated as an optimal control problem. Considering that the fuel consumption is often computed using linear interpolation over lookup table data, a rigorous analysis of the necessary conditions provided by the Pontryagin Minimum Principle is conducted. For most the co-state values, the control value is well defined and can be computed without any interpolation but this only generate a finite set of state trajectory. To compute the remaining trajectories, it is necessary to consider specific co-state values that generate singular controls. An algorithm is provided for the optimization of both the APU power and binary state and an infinite number of optimal solutions can be constructed.",
keywords = "Hybrid vehicle, Interpolation, Lookup table, Optimal control, Singular control",
author = "S. Delprat and T. Hofman",
year = "2015",
month = "1",
day = "12",
doi = "10.1109/VPPC.2014.7007080",
language = "English",
isbn = "9781479967834",
booktitle = "2014 IEEE Vehicle Power and Propulsion Conference, VPPC 2014",
publisher = "Institute of Electrical and Electronics Engineers",
address = "United States",

}

Delprat, S & Hofman, T 2015, Hybrid vehicle optimal control: Linear interpolation and singular control. in 2014 IEEE Vehicle Power and Propulsion Conference, VPPC 2014., 7007080, Institute of Electrical and Electronics Engineers, Piscataway, 10th IEEE Vehicle Power and Propulsion Conference (VPPC 2014), Coimbra, Portugal, 27/10/14. https://doi.org/10.1109/VPPC.2014.7007080

Hybrid vehicle optimal control : Linear interpolation and singular control. / Delprat, S.; Hofman, T.

2014 IEEE Vehicle Power and Propulsion Conference, VPPC 2014. Piscataway : Institute of Electrical and Electronics Engineers, 2015. 7007080.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Hybrid vehicle optimal control

T2 - Linear interpolation and singular control

AU - Delprat, S.

AU - Hofman, T.

PY - 2015/1/12

Y1 - 2015/1/12

N2 - Hybrid vehicle energy management can be formulated as an optimal control problem. Considering that the fuel consumption is often computed using linear interpolation over lookup table data, a rigorous analysis of the necessary conditions provided by the Pontryagin Minimum Principle is conducted. For most the co-state values, the control value is well defined and can be computed without any interpolation but this only generate a finite set of state trajectory. To compute the remaining trajectories, it is necessary to consider specific co-state values that generate singular controls. An algorithm is provided for the optimization of both the APU power and binary state and an infinite number of optimal solutions can be constructed.

AB - Hybrid vehicle energy management can be formulated as an optimal control problem. Considering that the fuel consumption is often computed using linear interpolation over lookup table data, a rigorous analysis of the necessary conditions provided by the Pontryagin Minimum Principle is conducted. For most the co-state values, the control value is well defined and can be computed without any interpolation but this only generate a finite set of state trajectory. To compute the remaining trajectories, it is necessary to consider specific co-state values that generate singular controls. An algorithm is provided for the optimization of both the APU power and binary state and an infinite number of optimal solutions can be constructed.

KW - Hybrid vehicle

KW - Interpolation

KW - Lookup table

KW - Optimal control

KW - Singular control

UR - http://www.scopus.com/inward/record.url?scp=84934326100&partnerID=8YFLogxK

U2 - 10.1109/VPPC.2014.7007080

DO - 10.1109/VPPC.2014.7007080

M3 - Conference contribution

SN - 9781479967834

BT - 2014 IEEE Vehicle Power and Propulsion Conference, VPPC 2014

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

Delprat S, Hofman T. Hybrid vehicle optimal control: Linear interpolation and singular control. In 2014 IEEE Vehicle Power and Propulsion Conference, VPPC 2014. Piscataway: Institute of Electrical and Electronics Engineers. 2015. 7007080 https://doi.org/10.1109/VPPC.2014.7007080