ON DIRECT FIXED-TIME OPTIMIZATION OF INVERTIBLE SYSTEMS

Abstract

A numerical technique for calculating the optimal control for a class of systems and constraints is described. Nonlinear, time-varying deterministic systems subject to hard state space and hard control space constraints are considered. Three numerical procedures are developed to perform the optimization. A technique for the minimization of a scalar function of a vector variable is described where the components of the vector are constrained by upper and lower bounds. This minimization procedure is incorporated in a method of constraint mapping which maps the state space constraints into the control space. To improve convergence properties of the optimization procedure the notion of a pseudo performance index is introduced. Initial and final states may be partially or completely specified. An unspecified initial or final state vector components are optimally selected.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0407958

Entities

People

  • Stephen James Kahne

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Calculus Of Variations
  • Computations
  • Convergence
  • Electrical Engineering
  • Engineering
  • Equations
  • Linear Systems
  • Mathematics
  • Midcourse Guidance
  • Optimization
  • Orbits
  • Scalar Functions
  • Spacecraft
  • Trajectories
  • Vehicles

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers