Efficient Design of Discrete Fractional-Order Differentiators Using Nelder-Mead Simplex Algorithm

@article{Rana2016EfficientDO,
  title={Efficient Design of Discrete Fractional-Order Differentiators Using Nelder-Mead Simplex Algorithm},
  author={K. P. S. Rana and Vineet Kumar and Yashika Garg and Sreejith S. Nair},
  journal={CSSP},
  year={2016},
  volume={35},
  pages={2155-2188}
}
Applications of fractional-order operators are growing rapidly in various branches of science and engineering as fractional-order calculus realistically represents the complex real-world phenomena in contrast to the integer-order calculus. This paper presents a novel method to design fractional-order differentiator (FOD) operators through optimization using Nelder–Mead simplex algorithm (NMSA). For direct discretization, Al-Alaoui operator has been used. The numerator and the denominator terms… CONTINUE READING
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