Accession Number:

AD0699204

Title:

NEIGHBORING OPTIMAL METHOD FOR THE SOLUTION OF OPTIMAL CONTROL PROBLEMS,

Descriptive Note:

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING

Report Date:

1969-12-01

Pagination or Media Count:

31.0

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

Subject Categories:

  • Numerical Mathematics
  • Test Facilities, Equipment and Methods

Distribution Statement:

APPROVED FOR PUBLIC RELEASE