Controller Design with Real Parametric Uncertainty

Abstract

A number of techniques have been developed in recent years for the analysis and design of controllers which are robust with respect to structured complex uncertainty. In particular the complex mu synthesis procedure has been successfully applied to a number of engineering problems. However the presence of real parametric uncertainty in the problem description substantially complicates matters, so that standard complex mu synthesis techniques are no longer adequate. In this paper we develop a procedure to tackle the mixed (real and complex) micro synthesis problem. This procedure involves a "D,G-K iteration" between computing the mixed mu upper bound and solving an H infinity, optimal control problem, and has guaranteed convergence to a local minimum of the (nonconvex) problem. The procedure has been implemented in software, and several controller designs are compared with the corresponding complex mu synthesis designs.

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Document Details

Document Type
Technical Report
Publication Date
Aug 30, 1993
Accession Number
ADA465111

Entities

People

  • Peter M. Young

Organizations

  • California Institute of Technology

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  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Closed Loop Systems
  • Computer Programs
  • Control Systems
  • Control Systems Engineering
  • Electrical Engineering
  • Engineering
  • Equations
  • Frequency
  • Frequency Response
  • Peak Values
  • Riccati Equation
  • Signal Processing
  • Space Systems
  • Standards
  • Transfer Functions
  • Uncertainty

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  • Operations Research
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