Hybrid vehicle optimal control: Linear interpolation and singular control

S. Delprat, T. Hofman

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

15 Citations (Scopus)
3 Downloads (Pure)


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
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


Conference10th IEEE Vehicle Power and Propulsion Conference (VPPC 2014)
Abbreviated titleVPPC 2014
Other"Spreading E-Mobility Everywhere"
Internet address


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


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