Model conversions of uncertain linear systems via the interval pade approximation method

Leang S. Shieh, Jingfong Gu, Jason Sheng-Hon Tsai

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper presents a new interval Pade approximation method to convert a continuous-time (discrete-time) uncertain linear system to an equivalent discrete-time (continuous-time) uncertain model via interval arithmetic operations. Based on the inclusion theorem related to the interval arithmetic, the interval Pade's approximants and their associated interval error matrices with interval arguments are obtained via the Pade's approximants and their associated error matrices with degenerate (real) arguments, respectively. Tighter error bounds of various approximate uncertain models with respect to their exact uncertain models are determined and used to modify the obtained Pade's approximants, so that the resulting approximate uncertain models are able to tightly enclose the original uncertain systems. Thus, the analysis and design of the original uncertain systems can be indirectly carried out using the converted uncertain models in either the continuous-time or the discrete-time domain.

Original languageEnglish
Pages (from-to)1-22
Number of pages22
JournalCircuits, Systems, and Signal Processing
Volume15
Issue number1
DOIs
Publication statusPublished - 1996 Jan 1

Fingerprint

Padé Approximation
Uncertain Systems
Approximation Methods
Linear systems
Linear Systems
Padé Approximants
Interval
Continuous Time
Discrete-time
Interval Arithmetic
Uncertain systems
Model
Error Bounds
Convert
Inclusion
Theorem

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Applied Mathematics

Cite this

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Model conversions of uncertain linear systems via the interval pade approximation method. / Shieh, Leang S.; Gu, Jingfong; Tsai, Jason Sheng-Hon.

In: Circuits, Systems, and Signal Processing, Vol. 15, No. 1, 01.01.1996, p. 1-22.

Research output: Contribution to journalArticle

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