Solution of Differential Flat Systems Using Variational Calculus

  • Kahina LouadjEmail author
  • Benjamas Panomruttanarug
  • Alexandre Carlos Brandão Ramos
  • Felix Mora-Camino
Conference paper


The purpose of this communication is to investigate the applicability of Variational Calculus to the optimization of the operation of differentially flat systems. After introducing characteristic properties of differentially flat systems, the applicability of variational calculus to the optimization of flat output trajectories is displayed. Three illustrative examples are also presented.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  • Kahina Louadj
    • 1
    • 2
    Email author
  • Benjamas Panomruttanarug
    • 3
  • Alexandre Carlos Brandão Ramos
    • 4
  • Felix Mora-Camino
    • 5
  1. 1.MAIAA-ENACToulouseFrance
  2. 2.Laboratoire d’Informatique, de Mathématiques, et de Physique pour l’Agriculture et les Forêts (LIMPAF)BouiraAlgeria
  3. 3.Department of Control Systems and Instrumentation Engeneering Thonburi (KMUTT)King Mongkuts University of TechnologyBangkokThailand
  4. 4.Mathematical and Computer Science InstituteFederal University of Itajuba (UNIFEI)ItajubaBrazil
  5. 5.Laboratoire ENAC, Ecole Nationale de l’Aviation CivileToulouseFrance

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