Some Notes on Reliable Computations with Transfer Matrices

Werner Haas; Jürgen Weinhofer

Some Notes on Reliable Computations with Transfer Matrices

Werner Haas, Jürgen Weinhofer

Institute of Control Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference proceedings

Abstract

For multivariable plants the denominator assignment problem and a tracking design based on polynomial matrices are presented. The crucial numerical operations are the calculation of a coprime factorization and the spectral factorization over polynomial matrices. For this, the calculation of the Smith form and the Smith-McMillan must be carried out. The numerical problems of an arithmetic based on polynomials are discussed. With the introduction of an interval arithmetic the obstacles are avoided and a numerical stable way is offered. Two applications will demonstrate this fact

Original language	English
Title of host publication	Tempus JEP 07759 - MODIFY, Workshop Automation 2001
Editors	Gabko P., Kopacek P.
Pages	233-242
Number of pages	10
Publication status	Published - Jun 1997

Fields of science

101028 Mathematical modelling
202 Electrical Engineering, Electronics, Information Engineering
202003 Automation
202017 Embedded systems
202027 Mechatronics
202034 Control engineering
203015 Mechatronics

Cite this

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title = "Some Notes on Reliable Computations with Transfer Matrices",

abstract = "For multivariable plants the denominator assignment problem and a tracking design based on polynomial matrices are presented. The crucial numerical operations are the calculation of a coprime factorization and the spectral factorization over polynomial matrices. For this, the calculation of the Smith form and the Smith-McMillan must be carried out. The numerical problems of an arithmetic based on polynomials are discussed. With the introduction of an interval arithmetic the obstacles are avoided and a numerical stable way is offered. Two applications will demonstrate this fact",

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AB - For multivariable plants the denominator assignment problem and a tracking design based on polynomial matrices are presented. The crucial numerical operations are the calculation of a coprime factorization and the spectral factorization over polynomial matrices. For this, the calculation of the Smith form and the Smith-McMillan must be carried out. The numerical problems of an arithmetic based on polynomials are discussed. With the introduction of an interval arithmetic the obstacles are avoided and a numerical stable way is offered. Two applications will demonstrate this fact

UR - http://regpro.mechatronik.uni-linz.ac.at

M3 - Conference proceedings

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BT - Tempus JEP 07759 - MODIFY, Workshop Automation 2001

A2 - Gabko P., Kopacek P., null

ER -

Some Notes on Reliable Computations with Transfer Matrices

Abstract

Fields of science

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Cite this