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

(2018) ISA TRANSACTIONS. 74. p.229-238
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Abstract
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.
Keywords
Discretization, Fractional order operator, Fractional order systems, Fractional order controllers, Frequency domain, Impulse response, Expansion, Rational transfer function, Numerical approximation

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Chicago
De Keyser, Robain, Cristina I. Muresan, and Clara-Mihaela Ionescu. 2018. “An Efficient Algorithm for Low-order Direct Discrete-time Implementation of Fractional Order Transfer Functions.” Isa Transactions 74: 229–238.
APA
De Keyser, Robain, Muresan, C. I., & Ionescu, C.-M. (2018). An efficient algorithm for low-order direct discrete-time implementation of fractional order transfer functions. ISA TRANSACTIONS, 74, 229–238.
Vancouver
1.
De Keyser R, Muresan CI, Ionescu C-M. An efficient algorithm for low-order direct discrete-time implementation of fractional order transfer functions. ISA TRANSACTIONS. 2018;74:229–38.
MLA
De Keyser, Robain, Cristina I. Muresan, and Clara-Mihaela Ionescu. “An Efficient Algorithm for Low-order Direct Discrete-time Implementation of Fractional Order Transfer Functions.” ISA TRANSACTIONS 74 (2018): 229–238. Print.
@article{8563695,
  abstract     = {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.},
  author       = {De Keyser, Robain and Muresan, Cristina I. and Ionescu, Clara-Mihaela},
  issn         = {0019-0578},
  journal      = {ISA TRANSACTIONS},
  keyword      = {Discretization,Fractional order operator,Fractional order systems,Fractional order controllers,Frequency domain,Impulse response,Expansion,Rational transfer function,Numerical approximation},
  language     = {eng},
  pages        = {229--238},
  title        = {An efficient algorithm for low-order direct discrete-time implementation of fractional order transfer functions},
  url          = {http://dx.doi.org/10.1016/j.isatra.2018.01.026},
  volume       = {74},
  year         = {2018},
}

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