A Computational Method for H (infinity) Controller Design in the Frequency Domain

Abstract

A new approach to frequency domain design of robust controllers for distributed parameter systems is presented. The central idea is to use techniques that were developed for the solution of the Corona Problem, for the solution of both the Bezout equation and an auxiliary equation that arises form the Nehari interpolation problem. An algebraic reformulation of these equations allows the solution to be computed from the solution of an inhomogeneous Cauchy Riemann equation with a Carleson measure as the inhomogeneous term. The theory is applied to a single input single output system with delay to yield the transfer function of a stabilizing controller with guaranteed H(infinity) stability margin. Finally the framework is extended to handle multi-input multi-output systems.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1996
Accession Number
ADA453010

Entities

People

  • Bernard A. Frankpitt
  • Carlos A. Berenstein
  • John Baras

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Computational Science
  • Electrical Engineering
  • Engineering
  • Equations
  • Frequency
  • Frequency Domain
  • Information Operations
  • Transfer Functions
  • Universities

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)