Principles of the General Theory of Root Paths of Automatic Control Systems,

Abstract

The development of the root locus method is a significant step in automatic control theory. The present monograph develops a number of new ideas of the root path theory: principle of successive multiple transformations of free parameter plane, principle of construction of three-dimensional trajectories and their projections, new methods of construction of root loci, unsteady fields of root paths, root method of construction of Vyshnegradskiy's diagrams, root method of studying the absolute stability of automatic control systems, etc. The monograph adopts a new approach to the determination of root loci by treating it as the mapping of specified curves of the complex plane of the parameter onto the plane of the complex variable. It is shown that in the final analysis, all the calculations are reduced to equations of root loci.

Document Details

Document Type
Technical Report
Publication Date
Dec 23, 1974
Accession Number
ADA004329

Entities

People

  • G. V. Rinskii

Organizations

  • National Air and Space Intelligence Center

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Automatic
  • Complex Variables
  • Construction
  • Control Systems
  • Control Theory
  • Equations
  • Mathematics
  • Three Dimensional
  • Trajectories

Readers

  • Control Systems Engineering.