An efficient algorithm for low-order direct discrete-time implementation of fractional order transfer functions

被引：64

作者：

De Keyser, Robin ^{[1
]}

Muresan, Cristina I. ^{[2
]}

Ionescu, Clara M. ^{[1
,2
]}

机构：

[1] Univ Ghent, Res Grp DySC Dynam Syst & Control, Technol Pk 914, B-9052 Ghent, Belgium

[2] Tech Univ Cluj Napoca, Dept Automat, 26-28 Gh Baritiu St,1St Floor,Room 350, Cluj Napoca 400027, Romania

来源：

ISA TRANSACTIONS | 2018年 / 74卷

关键词：

Discretization; Fractional order operator; Fractional order systems; Fractional order controllers; Frequency domain; Impulse response; Expansion; Rational transfer function; Numerical approximation; STABILITY ANALYSIS; PARAMETER-IDENTIFICATION; SYSTEMS; APPROXIMATION; DIFFERENTIATORS; CONTROLLER;

D O I：

10.1016/j.isatra.2018.01.026

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Fractional order systems become increasingly popular due to their versatility in modelling and control applications across various disciplines. However, the bottleneck in deploying these tools in practice is related to their implementation on real-life systems. Numerical approximations are employed but their complexity no longer match the attractive simplicity of the original fractional order systems. This paper proposes a low-order, computationally stable and efficient method for direct approximation of general order (fractional order) systems in the form of discrete-time rational transfer functions, e.g. processes, controllers. A fair comparison to other direct discretization methods is presented, demonstrating its added value with respect to the state of art. (C) 2018 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：229 / 238

页数：10

共 55 条

[1] Hurwitz stability analysis of fractional order LTI systems according to principal characteristic equations [J].

Alagoz, Buis Baykant .

ISA TRANSACTIONS, 2017, 70 :7-15

[2] On Digital Realizations of Non-integer Order Filters [J].

Baranowski, Jerzy ;

Bauer, Waldemar ;

Zagorowska, Marta ;

Piatek, Pawel .

CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2016, 35 (06) :2083-2107

[3]

Biswas K., 2017, Fractional-Order Devices

[4] Design and efficient implementation of digital non-integer order controllers for electro-mechanical systems [J].

Caponetto, Riccardo ;

Tomasello, Vincenzo ;

Lino, Paolo ;

Maione, Guido .

JOURNAL OF VIBRATION AND CONTROL, 2016, 22 (09) :2196-2210

[5]

CARLSON GE, 1964, IEEE T CIRCUITS SYST, VCT11, P210

[6]

Chen Y., 2008, Impulse response invariant discretization of fractional order integrators/ differentiators

[7] A new IIR-type digital fractional order differentiator [J].

Chen, YQ ;

Vinagre, BM .

SIGNAL PROCESSING, 2003, 83 (11) :2359-2365

[8]

Chen YQ, 2002, IEEE T CIRCUITS-I, V49, P363, DOI 10.1109/81.989172

[9]

Chen YQ, 2008, STEP RESPONSE INVARI

[10]

Das S, 2012, SPRINGERBR APPL SCI, P1, DOI 10.1007/978-3-642-23117-9

← 1 2 3 4 5 6 →