Control System Stability Analysis and Optimization Techniques.

Abstract

The research concerned the control of dynamic systems and was in two main areas: (1) stability conditions for nonlinear feedback systems, (2) optimization of control systems with emphasis on computational questions. The principal results of the research are the following: (1) a set of conditions for the stability of a multi-loop feedback system involving two time-invariant dynamic systems and two memoryless nonlinearities, (2) a mathematical theory for the numerical solution of vector two-point-boundary-value problems of the type obtained from necessary conditions for optimal controls, (3) the development of effective, user-oriented computer programs based on this theory and the results of numerical experiments, (4) a comprehensive the theory of optimal periodic control systems.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1974
Accession Number
ADA001921

Entities

People

  • Elmer G. Gilbert

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Closed Loop Systems
  • Computer Programs
  • Computers
  • Control Systems
  • Feedback
  • Optimization
  • Stability Conditions

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Operations Research
  • Systems Analysis and Design