Minmax Control of Systems with Uncertainty in the Initial State and in the State Equations.

Abstract

This paper investigates optimal control problems where there is uncertainty in the initial state measurement or where there are uncertain parameters in the state equations. It is assumed that nature will choose the uncertainty to maximize the cost which the controller is attempting to minimize. Thus a minmax control is sought. Sufficient conditions for a control to be a minmax control are presented. These conditions suggest methods for finding the minmax control and such techniques are described. The application of these methods is illustrated by example problems.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA037763

Entities

People

  • W. E. Schmitendorf

Organizations

  • Northwestern University

Tags

DTIC Thesaurus Topics

  • Air Force
  • Automatic
  • Control Theory
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of State
  • Measurement
  • Mechanical Engineering
  • New York
  • Scientific Research
  • Time Intervals
  • Uncertainty

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Economics
  • Robotics and Automation.