OPTIMAL CONTROL OF SECOND ORDER OSCILLATORY SYSTEMS WITH ZEROS

Abstract

This paper presents the solution to the minimum transition time problem and the minimum fuel problem for a second order system with one zero. The control difficulties usually encountered due to discontinuous action of the error states are eliminated by a transformation to a system with continuous variables. Optimum control of the transformed system is then accomplished using the methods of Pontryagin's Maximum Principle. The control action is then related back to the original plant. Although the investigation is concerned entirely with a second order oscillatory system, the method is sufficiently general to be extended to the higher order system with zeros.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0482289

Entities

People

  • William B. Nevius

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • California
  • Control Systems
  • Differential Equations
  • Digital Computers
  • Discontinuities
  • Engineering
  • Equations
  • Intervals
  • Linear Systems
  • Optimization
  • Switches
  • Switching
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  • Trajectories
  • United States

Fields of Study

  • Mathematics

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