Design of Robust Controllers: Frequency Domain Methods and their Non-Linear Extensions

Abstract

The research concerns H infinity control and focuses on substantially different parts of the subject, namely nonlinear systems, optimization theory and algorithms for frequency domain design and computer algebra tailored to systems and control research. For nonlinear plants, Helton-James made considerable progress on formulas for parameterizing all controllers. Also, for the very difficult measurement feedback problem they found a large class of 'singular controllers' which can actually be implemented. We established that they have excellent stable equilibria. Work on optimization integrated raw H infinity methods with semidefinite programming algorithms. We expanded our computer algebra methods for reducing complicated sets of equations to nice sets of equations.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 19, 1997
Accession Number
ADA332385

Entities

People

  • J. W. Helton

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Applied Mathematics
  • Complex Variables
  • Computer Programming
  • Computer Programs
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Feedback
  • Frequency
  • Frequency Domain
  • Linear Systems
  • Mathematics
  • Nonlinear Systems
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Robotics and Automation.
  • Systems Analysis and Design