DYNAMIC PROGRAMMING AND APPROXIMATION IN POLICY SPACE FOR OPTIMAL FEEDBACK CONTROL OF NONLINEAR SYSTEMS.

Abstract

Dynamic programming is used to obtain optimal feedback control policies for time-invariant nonlinear systems with fixed final time. The policy is obtained in the form of a table of the control variable as a function of the state of the system and the time remaining in the process. The recursive relation necessary to obtain the control table is derived for nonlinear systems in general and then used to calculate the optimal temperature schedules for a first order and for a second order batch reactor system. It is shown that approximation in policy space is not needed for the numerical solution of the problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0702085

Entities

People

  • Armando B. Corripio
  • Cecil L. Smith
  • Paul W. Murrill

Organizations

  • Louisiana State University

Tags

DTIC Thesaurus Topics

  • Automata
  • Batch Reactors
  • Computer Programming
  • Dynamic Programming
  • Feedback
  • Nonlinear Systems

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Operations Research
  • Robotics and Automation.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers