Variable Time Optimal Control,

Abstract

In problems of optimal control, the final time T may be fixed or it may be variable. For the variable time case, an additional necessary condition that the Hamiltonian be zero is added to the usual conditions used for the fixed time case. In this paper, it will be shown that this necessary condition may lead to a variable time local maximum as well as a local minimum. The paper first develops a computational algorithm using only the H=O condition, and then develops a sufficient condition for a variable time local minimum and a computational algorithm employing this condition. Numerical examples are given to illustrate all results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0717177

Entities

People

  • C. T. Leondes
  • Robert A. Niemann

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Algorithms

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion science or combustion engineering.
  • Robotics and Automation.