Discretization of complex-order algorithms for control applications

In this article we describe several methods for the discretization of the differintegral operator sa, where α = u + jv is a complex value. The concept of the conjugated-order differintegral is also introduced, which enables the use of complex-order differintegrals while still producing real-valued t...

ver descrição completa

Detalhes bibliográficos
Autor principal: Barbosa, Ramiro S. (author)
Outros Autores: Machado, J. A. Tenreiro (author), Silva, Manuel F. (author)
Formato: article
Idioma:eng
Publicado em: 2014
Assuntos:
Texto completo:http://hdl.handle.net/10400.22/4590
País:Portugal
Oai:oai:recipp.ipp.pt:10400.22/4590
Descrição
Resumo:In this article we describe several methods for the discretization of the differintegral operator sa, where α = u + jv is a complex value. The concept of the conjugated-order differintegral is also introduced, which enables the use of complex-order differintegrals while still producing real-valued time responses and transfer functions. The performance of the resulting approximations is analysed in both the time and frequency domains. Several results are presented that demonstrate its utility in control system design.