A Frequency Domain Toolbox Using Interval Arithmetic

Werner Haas; Kurt Schlacher; Jürgen Weinhofer

A Frequency Domain Toolbox Using Interval Arithmetic

Werner Haas
, Kurt Schlacher
, Jürgen Weinhofer

Institute of Control Systems

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

Abstract

In linear control theory the frequency domain approach and the state-space approach are equivalent. But for the implementation of numerical algorithms the use of state-space equations is preferred. To avoid the numerical problems caused by a polynomial arithemtic, the use of an interval arithmetic with variable length of the mantissa is suggested. Some basic algorithms for polynomial and transferfunction matrices implemented in interval arithmetic will be stated. A control example shows the feasibility of this method.

Original language	English
Title of host publication	Proceedings International Conference on Control '98
Pages	1060-1065
Number of pages	6
Volume	2
Publication status	Published - Sept 1998

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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abstract = "In linear control theory the frequency domain approach and the state-space approach are equivalent. But for the implementation of numerical algorithms the use of state-space equations is preferred. To avoid the numerical problems caused by a polynomial arithemtic, the use of an interval arithmetic with variable length of the mantissa is suggested. Some basic algorithms for polynomial and transferfunction matrices implemented in interval arithmetic will be stated. A control example shows the feasibility of this method.",

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AU - Schlacher, Kurt

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N2 - In linear control theory the frequency domain approach and the state-space approach are equivalent. But for the implementation of numerical algorithms the use of state-space equations is preferred. To avoid the numerical problems caused by a polynomial arithemtic, the use of an interval arithmetic with variable length of the mantissa is suggested. Some basic algorithms for polynomial and transferfunction matrices implemented in interval arithmetic will be stated. A control example shows the feasibility of this method.

AB - In linear control theory the frequency domain approach and the state-space approach are equivalent. But for the implementation of numerical algorithms the use of state-space equations is preferred. To avoid the numerical problems caused by a polynomial arithemtic, the use of an interval arithmetic with variable length of the mantissa is suggested. Some basic algorithms for polynomial and transferfunction matrices implemented in interval arithmetic will be stated. A control example shows the feasibility of this method.

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M3 - Conference proceedings

SN - 0 85296 707 1

VL - 2

SP - 1060

EP - 1065

BT - Proceedings International Conference on Control '98

ER -

A Frequency Domain Toolbox Using Interval Arithmetic

Abstract

Fields of science

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Cite this