Approximate solution of optimal control problems using third order hermite polynomial functions

  • Ernst D. Dickmanns
  • Klaus H. Well
Optimal Control
Part of the Lecture Notes in Computer Science book series (LNCS, volume 27)


An algorithm for the approximate solution of two point boundary value problems of Class C2 is given. A simple version having one check point at the center of each polynomial segment results in an algorithm which is easy to program and very efficient. Computer test runs with a Newton-Raphson iterator and numerical differentiation to generate the partial derivatives required show a fast convergence compared to extremal field methods and gradient methods in function space.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1975

Authors and Affiliations

  • Ernst D. Dickmanns
  • Klaus H. Well
    • 1
  1. 1.Trajectory Section, Institut für Dynamik der Flugsysteme, Deutsche Forschungs- und Versuchsanstalt für Luft- und Raumfahrt e.V.OberpfaffenhofenFRG

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