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

✍ Scribed by Yih Tsong Tsay, Leang -San Shieh, Stephen Barnett (eds.)


Publisher
Springer-Verlag Berlin Heidelberg
Year
1988
Tongue
English
Leaves
212
Series
Lecture Notes in Control and Information Sciences 107
Edition
1
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


Introduction....Pages 1-11
Characteristic Ξ»-matrices and canonical matrix fraction descriptions of MIMO systems....Pages 12-38
Spectral analysis of nonsingular Ξ»-matrices....Pages 39-73
Divisiors and spectral factors of nonsingular Ξ»-matrices....Pages 74-122
Feedback control of multivariable systems....Pages 123-153
Structural decomposition theories and applications in multivariable control systems....Pages 154-199

✦ Subjects


Control Engineering;Appl.Mathematics/Computational Methods of Engineering;Civil Engineering


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