Approximation of Fractional Order PIλDμ-Controller Transfer Function Using Chain Fractions
نویسندگان
چکیده
The approximation of a fractional order PIλDμ-controller transfer function using chain fraction theory is considered. Analytical expressions for the s±α components functions PIλDμ-controllers were obtained through application theory. Graphs transition and frequency characteristics Dμ (α = μ 0.5) Iλ λ −0.5) parts five different decomposition orders analyzed. results showed possibility applying by method fractions with valuesof μ. For comparison, same polynomials, methods Oustaloup transformation fractions, approximated α ±0.5. analysis proved advantages to approximate PIλDμ-controller. performed opens up developing engineering technical implementation PIλDμ-controllers. accuracy higher when used. It has been established that adequacy also depends on order.
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ژورنال
عنوان ژورنال: Energies
سال: 2022
ISSN: ['1996-1073']
DOI: https://doi.org/10.3390/en15134902