Some remarks on Pade-approximations

Miklos Vajta

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Abstract

Padé approximations are widely used to approximate a dead-time in continuous control systems. It provides a finite-dimensional rational approximation of a dead-time. However, the standard Padé approximation (recommended in many textbooks) with equal numerator- and denominator degree, exhibits a jump at time t=0. This is highly undesirable in simulating dead-times. To avoid this phenomena we shall reconsider the Padé approximation with differnt numerator degrees.
Original languageEnglish
Pages53-58
Number of pages6
Publication statusPublished - 2000
Event3rd TEMPUS-INTCOM Symposium on Intelligent Systems in Control and Measurements 2000 - Veszprém, Hungary
Duration: 9 Sep 200014 Sep 2000
Conference number: 3

Conference

Conference3rd TEMPUS-INTCOM Symposium on Intelligent Systems in Control and Measurements 2000
CountryHungary
CityVeszprém
Period9/09/0014/09/00

Fingerprint

Padé Approximation
Numerator
Approximation
Finite-dimensional Approximation
Rational Approximation
Continuous System
Denominator
Jump
Control System

Keywords

  • Padé approximation
  • Rational functions

Cite this

Vajta, M. (2000). Some remarks on Pade-approximations. 53-58. Paper presented at 3rd TEMPUS-INTCOM Symposium on Intelligent Systems in Control and Measurements 2000, Veszprém, Hungary.
Vajta, Miklos. / Some remarks on Pade-approximations. Paper presented at 3rd TEMPUS-INTCOM Symposium on Intelligent Systems in Control and Measurements 2000, Veszprém, Hungary.6 p.
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abstract = "Pad{\'e} approximations are widely used to approximate a dead-time in continuous control systems. It provides a finite-dimensional rational approximation of a dead-time. However, the standard Pad{\'e} approximation (recommended in many textbooks) with equal numerator- and denominator degree, exhibits a jump at time t=0. This is highly undesirable in simulating dead-times. To avoid this phenomena we shall reconsider the Pad{\'e} approximation with differnt numerator degrees.",
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Vajta, M 2000, 'Some remarks on Pade-approximations' Paper presented at 3rd TEMPUS-INTCOM Symposium on Intelligent Systems in Control and Measurements 2000, Veszprém, Hungary, 9/09/00 - 14/09/00, pp. 53-58.

Some remarks on Pade-approximations. / Vajta, Miklos.

2000. 53-58 Paper presented at 3rd TEMPUS-INTCOM Symposium on Intelligent Systems in Control and Measurements 2000, Veszprém, Hungary.

Research output: Contribution to conferencePaperAcademicpeer-review

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AB - Padé approximations are widely used to approximate a dead-time in continuous control systems. It provides a finite-dimensional rational approximation of a dead-time. However, the standard Padé approximation (recommended in many textbooks) with equal numerator- and denominator degree, exhibits a jump at time t=0. This is highly undesirable in simulating dead-times. To avoid this phenomena we shall reconsider the Padé approximation with differnt numerator degrees.

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Vajta M. Some remarks on Pade-approximations. 2000. Paper presented at 3rd TEMPUS-INTCOM Symposium on Intelligent Systems in Control and Measurements 2000, Veszprém, Hungary.