Journal ArticleDOI
An algebraic method to determine the common divisor, poles and transmission zeros of matrix transfer functions
TLDR
In this article, a purely algebraic method which uses the matrix Routh algorithm and its reverse process of the algorithm is presented to decompose a matrix transfer function into a pair of right co-prime polynomial matrices or left co-primo matrices.Abstract:
A purely algebraic method which uses the matrix Routh algorithm and its reverse process of the algorithm is presented to decompose a matrix transfer function into a pair of right co-prime polynomial matrices or left co-primo polynomial matrices. The poles and transmission zeros of the matrix transfer function are determined from a pair of relatively prime polynomial matrices. Also, the common divisor of two matrix polynomials can be obtained by using the matrix Routh algorithm and the matrix Routh array.read more
Citations
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Erratum: Analysis and synthesis of matrix transfer functions using the new block-state equations in block-tridiagonal forms
L.S. Shieh,A. Tajvari +1 more
TL;DR: In this paper, a block-Routh array with block-routh algorithm is developed to extract the greatest common matrix polynomial of two matrix Polynomials that are not coprime and construct a blocktransformation matrix that transforms a blockstate equation from a block companion form to a block tridiagonal form.
Journal ArticleDOI
A Modified Direct-Decoupling Method for Multivariable Control System Designs
TL;DR: In this paper, a modified direct-decoupling method using the adjoint matrix instead of the inverse of the plant matrix to construct the compensator was proposed, which uses a frequency-domain model-reduction method to simplify the degree of the given plant transfer function matrix and the obtained compensator.
Journal ArticleDOI
The generalized matrix continued-fraction descriptions and their application to model simplification†
TL;DR: This paper presents two generalized matrix continued-fraction descriptions in the second Cauer form from a transfer function matrix and/or matrix fraction descriptions which may contain non-square and-or non-regular polynomial matrices.
Journal ArticleDOI
Realization of Matrix Transfer Functions via a State-Space Approach
Leang S. Shieh,S. Yeh,R. Yates +2 more
TL;DR: In this article, a similarity transformation matrix is derived to transform a state-space equation in a RC-type Cauer second form into a state space equation in the block companion form.
References
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Book
Linear Optimal Control Systems
Huibert Kwakernaak,Raphael Sivan +1 more
TL;DR: In this article, the authors provide an excellent introduction to feedback control system design, including a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems.
Journal ArticleDOI
Properties and calculation of transmission zeros of linear multivariable systems
Edward J. Davison,S. H. Wang +1 more
TL;DR: In this paper, a new definition of transmission zeros for a linear, multivariable, time-invariant system is made which is shown to be equivalent to previous definitions.