Documentation of PAREST -
A Multiple Shooting Code For Optimization Problems in Differential-Algebraic Equations

Alexander Heim
and
Oskar von Stryk
Lehrstuhl M2 Numerische Mathematik, Zentrum Mathematik (SCB)
Technische Universität München
D-80290 München

Preprints series: Techn. Univ. München, Fak. f. Math., Report (Blauer Bericht) TUM M 9616, 31 pages

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• Contents
• Purpose, Problem Descriptions, and Notation
  • Abstract
  • Dynamic model
  • Parameter estimation problems
  • Optimal control problems
  • Multiple shooting approach
  • Survey on the three time grids
• Fortran Subroutines of the Model Functions
  • DAGFY for the computation of (differential equations)
  • DAGFV for the computation of (algebraic equations)
  • DAGRB for the computation of the boundary conditions r
  • MESSH for the computation of the measurement functions h
  • ZSTDB for the computation of the (nonlinear) inequality constraints S
  • ZLFKT for the computation of the optimal control objective
• Input File of PAREST
  • Section GENERAL
  • Section NAMEN
  • Section MESSWERTE
  • Section GRENZEN
  • Section SKALIERUNG
  • Section STARTWERTE
  • Section STEUERUNG
• The Programs parest and pgraph
• Examples
  • Parameter identification of a planar pendulum
  • A minimum energy problem
• About this document ...