© 2013

Optimal Control of Hybrid Vehicles


Part of the Advances in Industrial Control book series (AIC)

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Bram de Jager, Thijs van Keulen, John Kessels
    Pages 1-14
  3. Bram de Jager, Thijs van Keulen, John Kessels
    Pages 15-38
  4. Bram de Jager, Thijs van Keulen, John Kessels
    Pages 39-46
  5. Bram de Jager, Thijs van Keulen, John Kessels
    Pages 47-69
  6. Bram de Jager, Thijs van Keulen, John Kessels
    Pages 71-98
  7. Bram de Jager, Thijs van Keulen, John Kessels
    Pages 99-110
  8. Bram de Jager, Thijs van Keulen, John Kessels
    Pages 111-140
  9. Back Matter
    Pages 141-142

About this book


Optimal Control of Hybrid Vehicles provides a description of power train control for hybrid vehicles. The background, environmental motivation and control challenges associated with hybrid vehicles are introduced. The text includes mathematical models for all relevant components in the hybrid power train. The power split problem in hybrid power trains is formally described and several numerical solutions detailed, including dynamic programming and a novel solution for state-constrained optimal control problems based on Pontryagin’s maximum principle.


Real-time-implementable strategies that can approximate the optimal solution closely are dealt with in depth. Several approaches are discussed and compared, including a state-of-the-art strategy which is adaptive for vehicle conditions like velocity and mass.

Two case studies are included in the book:

·        a control strategy for a micro-hybrid power train; and

·        experimental results obtained with a real-time strategy implemented in a hybrid electric truck

·        .

Optimal Control of Hybrid Vehicles will appeal to academic researchers and graduate students interested in hybrid vehicle control or in the applications of energy management using optimal control. Practitioners working in the design of control systems for the automotive industry will also find the ideas propounded in this book of interest.

Advances in Industrial Control aims to report and encourage the transfer of technology in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. The series offers an opportunity for researchers to present an extended exposition of new work in all aspects of industrial control.


Energy Management Hybrid Power Systems Hybrid Vehicles Optimal Control Pontryagin’s Maximum Principle

Authors and affiliations

  1. 1.Department of Mechanical EngineeringEindhoven University of TechnologyEindhovenNetherlands
  2. 2.Eindhoven University of TechnologyEindhovenNetherlands
  3. 3.Electrical EngineeringEindhoven University of TechnologyEindhovenNetherlands

Bibliographic information

  • Book Title Optimal Control of Hybrid Vehicles
  • Authors Bram de Jager
    Thijs van Keulen
    John Kessels
  • Series Title Advances in Industrial Control
  • Series Abbreviated Title Advances in Industrial Control
  • DOI
  • Copyright Information Springer-Verlag London 2013
  • Publisher Name Springer, London
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-1-4471-5075-6
  • Softcover ISBN 978-1-4471-5988-9
  • eBook ISBN 978-1-4471-5076-3
  • Series ISSN 1430-9491
  • Series E-ISSN 2193-1577
  • Edition Number 1
  • Number of Pages XVIII, 142
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Control and Systems Theory
    Automotive Engineering
    Renewable and Green Energy
  • Buy this book on publisher's site
Industry Sectors
Chemical Manufacturing
IT & Software
Materials & Steel
Oil, Gas & Geosciences


From the reviews:

“This book presents recent results on energy management for hybrid electric vehicles. … It is an excellent resource for those researchers interested in optimal energy management for vehicles used in intelligent transportation systems. The book is of great interest to those in the disciplines of Electrical, Mechanical, and Control Engineering and Transportation Engineering and renewable and green energy. The reviewer … enjoyed thoroughly reading the book and welcomes as an excellent addition to the field.” (D. Subbaram Naidu,, April, 2014)