Structural Analysis and Design of Multivariable Control Systems: An Algebraic Approach
The purpose of this research monograph is to utilize algebraic and systems theory for the structure analysis and design of multivariable control systems described by state-space representations and matrix fraction descriptions. A unified approach characterizing the dynamics of a system through the formulation of the characteristic -matrix of the system is presented. The latent structures, solvents, divisors, and spectral factors of the non-singular characteristic -matrix and their relationships with the respesctive counterparts of the state-space representations are explored. Applications in model reduction, pole assignment design, modal control design for multivariable systems, parallel realizations and cascade realizations of multiport networks are illustrated. Computational algorithms and illustrative numerical examples are presented throughout the monograph. The reader is assumed to have a graduate level background in modern control theory.
1117264539
Structural Analysis and Design of Multivariable Control Systems: An Algebraic Approach
The purpose of this research monograph is to utilize algebraic and systems theory for the structure analysis and design of multivariable control systems described by state-space representations and matrix fraction descriptions. A unified approach characterizing the dynamics of a system through the formulation of the characteristic -matrix of the system is presented. The latent structures, solvents, divisors, and spectral factors of the non-singular characteristic -matrix and their relationships with the respesctive counterparts of the state-space representations are explored. Applications in model reduction, pole assignment design, modal control design for multivariable systems, parallel realizations and cascade realizations of multiport networks are illustrated. Computational algorithms and illustrative numerical examples are presented throughout the monograph. The reader is assumed to have a graduate level background in modern control theory.
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Structural Analysis and Design of Multivariable Control Systems: An Algebraic Approach

Structural Analysis and Design of Multivariable Control Systems: An Algebraic Approach

Structural Analysis and Design of Multivariable Control Systems: An Algebraic Approach

Structural Analysis and Design of Multivariable Control Systems: An Algebraic Approach

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Overview

The purpose of this research monograph is to utilize algebraic and systems theory for the structure analysis and design of multivariable control systems described by state-space representations and matrix fraction descriptions. A unified approach characterizing the dynamics of a system through the formulation of the characteristic -matrix of the system is presented. The latent structures, solvents, divisors, and spectral factors of the non-singular characteristic -matrix and their relationships with the respesctive counterparts of the state-space representations are explored. Applications in model reduction, pole assignment design, modal control design for multivariable systems, parallel realizations and cascade realizations of multiport networks are illustrated. Computational algorithms and illustrative numerical examples are presented throughout the monograph. The reader is assumed to have a graduate level background in modern control theory.

Product Details

ISBN-13: 9783540189169
Publisher: Springer Berlin Heidelberg
Publication date: 05/03/1988
Series: Lecture Notes in Control and Information Sciences , #107
Pages: 211
Product dimensions: 6.69(w) x 9.61(h) x 0.02(d)

Table of Contents

Characteristic—-matrices and canonical matrix fraction descriptions of MIMO systems.- Spectral analysis of nonsingular—-matrices.- Divisiors and spectral factors of nonsingular—-matrices.- Feedback control of multivariable systems.- Structural decomposition theories and applications in multivariable control systems.
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