Discretization schemes for fractional-order differentiators and integrators

By YangQuan Chen, Kevin L. Moore. 2002

584 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/168aa0c2b31424c8fc19bac3112b2620fdfc4076

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In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

A robust tuning method for fractional order PI controllers (2006, background): “A band-limit implementation of the fractional order integrator is important in practice, i.e., the finite-dimensional approximation of the fractional order system should be done in a proper range of frequencies of practical interest ( Chen and Moore, 2002 ).”
Fractional order control - A tutorial (2009, methodology): “For example, Chen and Moore in [14] used the so-called Al-Alaoui operator, which is the weighted sum of rectangular rule or Euler operator (0.”
A Comparative Analysis of Laguerre-Based Approximators to the Grünwald-Letnikov Fractional-Order Difference (2015, methodology): “where α ∈ (0, 1), P(q), and Q(q−1) are the CFE-related polynomials in q−1 of, generally, different orders [12], but we will assume equal orders n here.”
Fractional Order Disturbance Observer for Robust Vibration Suppression (2004, background): “For the similar reason, here the direct or indirect discretization schemes [3] are not used.”
A Modified Approximation Method of Fractional Order System (2006, methodology): “Direct discretization methods were proposed in [ 15 ] while in [16], a new infinite impulse response (IIR)-type digital fractional order differentiator is proposed.”
A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions (2013, background): “Still in some biology diffusion processes, the concentration of particles will determine the diffusion pattern [25, 26].”
Two direct Tustin discretization methods for fractional-order differentiator/integrator (2003, result): “Note that the discretization schemes presented in [11] were based on different operators and therefore, the reported results were hard to compare.”