A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order Systems

Manuel Duarte Ortigueira; DEE Group Author

doi:10.1007/978-3-642-28255-3_27

A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order Systems

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper a new approach to rational discrete-time approximations to continuous fractional-order systems of the form 1/(s α +p) is proposed. We will show that such fractional-order LTI system can be decomposed into sub-systems. One has the classic behavior and the other is similar to a Finite Impulse Response (FIR) system. The conversion from continuous-time to discrete-time systems will be done using the Laplace transform inversion integral and then applying the Bilinear transformation to obtain the corresponding discrete-time system and the corresponding frequency response. An optimization algorithm will be used to find the FIR type parameters that best approximate the discrete-time system.

Original language	Unknown
Title of host publication	IFIP Advances in Information and Communication Technology
Pages	251-258
Volume	372
DOIs	https://doi.org/10.1007/978-3-642-28255-3_27
Publication status	Published - 1 Jan 2012
Event	3rd IFIP/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems - Duration: 1 Jan 2012 → …

Conference

Conference	3rd IFIP/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems
Period	1/01/12 → …

Access to Document

10.1007/978-3-642-28255-3_27

http://oa.uninova.pt/5300/

Cite this

@inproceedings{b4b0f4dcb78b424bade2a16606467e7e,

title = "A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order Systems",

abstract = "In this paper a new approach to rational discrete-time approximations to continuous fractional-order systems of the form 1/(s α +p) is proposed. We will show that such fractional-order LTI system can be decomposed into sub-systems. One has the classic behavior and the other is similar to a Finite Impulse Response (FIR) system. The conversion from continuous-time to discrete-time systems will be done using the Laplace transform inversion integral and then applying the Bilinear transformation to obtain the corresponding discrete-time system and the corresponding frequency response. An optimization algorithm will be used to find the FIR type parameters that best approximate the discrete-time system.",

keywords = "optimization, Fractional-order, discrete time, fractional spectrum",

author = "Ortigueira, \{Manuel Duarte\} and \{DEE Group Author\}",

note = "Sem PDF; 3rd IFIP/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems ; Conference date: 01-01-2012",

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doi = "10.1007/978-3-642-28255-3\_27",

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T1 - A New Approach to Rational Discrete-Time Approximations to Continuous-Time Fractional-Order Systems

AU - Ortigueira, Manuel Duarte

AU - DEE Group Author

N1 - Sem PDF

PY - 2012/1/1

Y1 - 2012/1/1

N2 - In this paper a new approach to rational discrete-time approximations to continuous fractional-order systems of the form 1/(s α +p) is proposed. We will show that such fractional-order LTI system can be decomposed into sub-systems. One has the classic behavior and the other is similar to a Finite Impulse Response (FIR) system. The conversion from continuous-time to discrete-time systems will be done using the Laplace transform inversion integral and then applying the Bilinear transformation to obtain the corresponding discrete-time system and the corresponding frequency response. An optimization algorithm will be used to find the FIR type parameters that best approximate the discrete-time system.

AB - In this paper a new approach to rational discrete-time approximations to continuous fractional-order systems of the form 1/(s α +p) is proposed. We will show that such fractional-order LTI system can be decomposed into sub-systems. One has the classic behavior and the other is similar to a Finite Impulse Response (FIR) system. The conversion from continuous-time to discrete-time systems will be done using the Laplace transform inversion integral and then applying the Bilinear transformation to obtain the corresponding discrete-time system and the corresponding frequency response. An optimization algorithm will be used to find the FIR type parameters that best approximate the discrete-time system.

KW - optimization

KW - Fractional-order

KW - discrete time

KW - fractional spectrum

U2 - 10.1007/978-3-642-28255-3_27

DO - 10.1007/978-3-642-28255-3_27

M3 - Conference contribution

SN - 978-3-642-28255-3

VL - 372

SP - 251

EP - 258

BT - IFIP Advances in Information and Communication Technology

T2 - 3rd IFIP/SOCOLNET Doctoral Conference on Computing, Electrical and Industrial Systems

Y2 - 1 January 2012

ER -