Fast Algebraic Methods for Multivariable Control Systems.

Abstract

Several fast algebraic methods have been developed for the analysis and synthesis of multivariable control systems. Simple and quick methods based on the block-pulse functions and the matrix continued fractions have been derived for rapid model reduction, system identification, models conversion, rational matrix realization, and design of multivariable control systems. Also, computer-aided methods have been developed for determining the solvents, spectral factors of matrix polynomials and for evaluating the block partial fraction expansions of rational matrices. Furthermore, a quick algorithm based on the matrix sign function has been developed for rapid solution of matrix Riccati equation. The algorithm has successfully been applied to develop a fast suboptimal state-space self-tuner for linear stochastic multivariable systems.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1983
Accession Number
ADA132719

Entities

People

  • Leang S. Shieh

Organizations

  • University of Houston

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Control Systems
  • Control Theory
  • Differential Equations
  • Electrical Engineering
  • Electronic Circuits
  • Engineering
  • Equations
  • Equations Of State
  • Military Research
  • Multiple Input Multiple Output
  • Polynomials
  • Riccati Equation
  • Systems Engineering
  • Systems Science
  • Transfer Functions

Readers

  • Approximation Theory.
  • Control Systems Engineering.
  • Reinforced Composite Materials

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