ON OPTIMAL LINEAR CONTROL SYSTEMS WHICH MINIMIZE THE TIME INTEGRAL OF THE ABSOLUTE VALUE OF THE CONTROL FUNCTION (MINIMUM-FUEL CONTROL SYSTEMS)

Abstract

The so-called "minimum-fuel" optimum control system is examined. One concern is with systems for which the control signal is proportional to fuel, such as fuel exhaust in a missile or gas exhaust from a gas jet in an attitude control system. The total fuel consumed during a control action is proportional to the time integral of the absolute value of each control signal. Given a linear system which is to execute a given task, then one is interested in determining the control signal which requires the least amount of fuel to accomplish the given task. It is assumed that each control signal is bounded in magnitude by unity.

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Document Details

Document Type
Technical Report
Publication Date
May 10, 1962
Accession Number
AD0276881

Entities

People

  • Michael Athanassiades

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Attitude Control Systems
  • Calculus Of Variations
  • Computer Programming
  • Computer Programs
  • Computers
  • Control Systems
  • Differential Equations
  • Engineering
  • Equations
  • Fuel Lines
  • Fuel Systems
  • Integrals
  • Linear Systems
  • New York
  • Trajectories
  • Transfer Functions

Readers

  • Aerospace Engineering
  • Operations Research
  • Robotics and Automation.