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Implementation of discrete-time fractional-order controllers based on LS Approximations
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Orientador(es)
Resumo(s)
In this paper we develop rational discrete-time approximations (IIR filters) to
continuous fractional-order integrators and differentiators of type sα, α ∈ ℜ. For that, it is
proposed the adoption of the techniques of Padé, Prony and Shanks usually applied in the
signal modelling of deterministic signals. These methods yield suboptimal solutions to the
problem which only requires finding the solution of a set of linear equations. The results
reveal that this approach gives similar or superior approximations in comparison with
other widely used methods. Their effectiveness is illustrated, both in the time and frequency
domains, through several examples.
Descrição
Palavras-chave
Filter design Discretization IIR filters Rational approximations Digital differentiators Digital integrators Least-squares