Identificação de funções de transferência de ordem fracionária utilizando como entrada um degrau
| Ano de defesa: | 2015 |
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| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Tese |
| Tipo de acesso: | Acesso aberto |
| Idioma: | por |
| Instituição de defesa: |
Universidade Estadual Paulista (Unesp)
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| Programa de Pós-Graduação: |
Não Informado pela instituição
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| Departamento: |
Não Informado pela instituição
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| País: |
Não Informado pela instituição
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| Palavras-chave em Português: | |
| Link de acesso: | http://hdl.handle.net/11449/127819 http://www.athena.biblioteca.unesp.br/exlibris/bd/cathedra/20-08-2015/000846232.pdf |
Resumo: | This thesis proposes new methods for the identification of fractional order stable and unstable Transfer Functions (TF), based on the time response resulting from a single step excitation. Initially, the improvement of a known identification method for TF of integer order, considering the optimization of a parameter in the identification process, is presented. Then, a new method based on fractional order integrators, is proposed for the identification of stable TF. Moreover, another method for stable and unstable fractional order TF, also with fractional order integra- tors, that is based on the multiplication in the time domain of the plant output by a convergent exponential function and a suitable filter is proposed. Furthermore, a more efficient method is proposed, based on the multiplication in the time domain of the plant output by different conver- gent exponential functions and a suitable filter. Numerical examples using the Matlab software illustrate the theoretical results and are used for comparisons, including the following cases with experimental data: (i) TF of a control system for the position of a car using a DC motor; (ii) TF for of the leg position of paraplegic and hemiplegic patients subject to a functional electrical stimulation. Finally, the identification of a three-dimensional RC network, which can be used as circuit models for the dielectric response of composite materials containing insulating and conducting particles, is presented |