APPROXIMATION TO THE TIME-OPTIMAL CONTROL OF LINEAR STATE-CONSTRAINED SYSTEMS.

Abstract

A procedure is presented for approximating the time-optimal control for linear state-constrained systems. The constraint sets on both the state variable and the control vector can be any sets able to be approximated by piecewise-constant convex polygonal sets. The target set can be specified as any convex polygonal set about the origin in state space. The approximation is obtained by reformulating the problem such that iteration on a scalar quantity (the final time) is needed with a linear programming problem solved at each iteration. An example using a fourth order system is presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1967
Accession Number
AD0663643

Entities

People

  • A. Frederick Fath

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computer Programming
  • Computing-Related Activities
  • Convex Programming
  • Interdisciplinary Science
  • Iterations
  • Linear Programming
  • Mathematical Analysis
  • Mathematical Programming
  • Mathematics
  • Numerical Analysis

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Operations Research

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers