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Computer Algebra as a Tool for Solving Optimal Control Problems

  • C. Gomez
  • J. P. Quadrat
  • A. Sulem

Abstract

Solving optimal control problems usually consists in modelizing type problem, proving the existence of a solution, choosing a method leadint to a numerical solution and writing a program (generally in FORTRAN). These steps can be automatized using formal calculus and inference techniques. An expert system in stochastic control is presented. It is embedded in the MACSYMA system. After the description of the problem by the user in semi-natural language, the system generates the equations which modelize the problem. Then by using PROLOG (for encoding the used theorems) and symbolic manipulations on the equations, the system can prove the existence of a solution. Finally the system chooses a numerical method to solve it using symbolic differentiations and mtrix inversions and it generates the associated FORTRAN program.

Keywords

Expert System Optimal Control Problem Computer Algebra Stochastic Control Symbolic Manipulation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1985

Authors and Affiliations

  • C. Gomez
    • 1
  • J. P. Quadrat
    • 1
  • A. Sulem
    • 1
  1. 1.Domaine de VoluceauInstitut National de Recherche en Informatique et en, Automatique(INRIA)Le Chesnay CedexFrance

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