Design of Robust Multivariable Controllers

Abstract

Two major problems, the solution of H infinity optimization problem and the computation of the real structured singular value, are addressed in the report. The observer based controller parameterization, inner-outer factorization, and a state-space size-reduction technique were used to simplify the H infinity formulation and a fast gamma-iteration algorithm was proposed to compute the optimal H infinity norm of a 2-Block problem. The DGKF's two-riccati equation method was employed to design a nearly H infinity optimal controller for a 4-Block problem. An iterative approach for computing the real structured singular value was developed based on a multilinear mapping from the parameter space to the coefficient space, edge theorem, parameter domain partitioning, and a fast stability checking of the segment of a polytope.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1990
Accession Number
ADA222096

Entities

People

  • Borchin C. Chang

Organizations

  • Drexel University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Classification
  • Closed Loop Systems
  • Coefficients
  • Computational Science
  • Computations
  • Control Systems
  • Differential Equations
  • Engineering
  • Equations
  • Linear Differential Equations
  • Riccati Equation
  • Three Dimensional
  • Transfer Functions
  • Two Dimensional
  • United States

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Graph Algorithms and Convex Optimization.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers