NEIGHBORING OPTIMAL METHOD FOR THE SOLUTION OF OPTIMAL CONTROL PROBLEMS,

Abstract

The solution to a general class of optimal control problems is derived using the neighboring optimal method. The problem is first transformed using the minimum principle of Pontryagin into a two-point boundary value problem. The solution to the boundary value problem is formulated as minimizing a terminal error function. Sensitivity coefficients are derived to provide a means, in conjunction with a linear search, of sequentually approaching the solution. The sensitivity coefficients are also used to derive a feedback control law. The neighboring optimal method can be used in fixed time problems, and problems with either free or fixed terminal state conditions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0699204

Entities

People

  • Austin L. Foote
  • Donald Norris
  • Roger W. Johnson

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Feedback
  • Mathematical Analysis
  • Mathematics
  • Sensitivity
  • Terminals

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis